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(12*10^7-21)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(12*10^7-21)/99 N=1212121 *** N is prime! Time: 0 sec
(12*10^11-21)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(12*10^11-21)/99 N=12121212121 Factor: 2^3 divides N - 1 Factor: 2 divides N + 1 Factor: 3 divides N - 1 Factor: 5 divides N - 1 Factor: 41 divides N - 1 Factorization results: F1=0.3661 F2=0.0299 F1=4920 F2=2 Pass: gcd(11^((N-1)/2) - 1, N) = 1: R20=12121212119 Pass: 11^(N-1) = 1 (mod N): R20=1 Fail: gcd(11^((N-1)/3) - 1, N) not = 1: R20=0 Pass: gcd(13^((N-1)/3) - 1, N) = 1: R20=4739065201 Pass: 13^(N-1) = 1 (mod N): R20=1 Pass: gcd(13^((N-1)/5) - 1, N) = 1: R20=3956800691 Pass: gcd(13^((N-1)/41) - 1, N) = 1: R20=2932767939 BLS tests passed: F1=0.3661 F2=0.0299 Main divisor test: F1=0.3661 F2=0.0000 G=0.3661 S=0.0000 T=1 G=4920 Main divisor test passed: 1/1 Final divisor test: F=0.3661 G=0.3661 H=1.0984 t=-1 a=1 Final divisor test passed: 3/3 r=3 i=0 *** N is prime! Time: 0 sec
(12*10^43-21)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(12*10^43-21)/99 N=1212121212121212121212121212121212121212121 Factor: 2^3 divides N - 1 Factor: 2 divides N + 1 Factor: 3^2 divides N - 1 Factor: 5 divides N - 1 Factor: 7^2 divides N - 1 Factor: 13 divides N - 1 Factor: 31 divides N + 1 Factor: 37 divides N - 1 Factor: 43 divides N - 1 Factor: 127 divides N - 1 Factor: 239 divides N - 1 Factor: 1933 divides N - 1 Factorization results: F1=0.3881 F2=0.0426 F1=21406496228633880 F2=62 Pass: gcd(11^((N-1)/2) - 1, N) = 1: R20=21212121212121212119 Pass: 11^(N-1) = 1 (mod N): R20=1 Fail: gcd(U{(N+1)/2}, N) not = 1: d=17 p=1 q=-4 R20=0 Fail: gcd(U{(N+1)/2}, N) not = 1: d=17 p=3 q=-2 R20=0 Fail: gcd(U{(N+1)/2}, N) not = 1: d=17 p=5 q=2 R20=0 Fail: gcd(U{(N+1)/2}, N) not = 1: d=17 p=7 q=8 R20=0 Fail: gcd(U{(N+1)/2}, N) not = 1: d=17 p=9 q=16 R20=0 Fail: gcd(U{(N+1)/2}, N) not = 1: d=17 p=11 q=26 R20=0 Fail: gcd(U{(N+1)/2}, N) not = 1: d=17 p=13 q=38 R20=0 Fail: gcd(U{(N+1)/2}, N) not = 1: d=17 p=15 q=52 R20=0 Pass: gcd(U{(N+1)/2}, N) = 1: d=17 p=17 q=68 R20=21212121212121212117 Pass: U{N+1} = 0 (mod N): d=17 p=17 q=68 R20=0 Fail: gcd(11^((N-1)/3) - 1, N) not = 1: R20=0 Pass: gcd(17^((N-1)/3) - 1, N) = 1: R20=79042682005885222573 Pass: 17^(N-1) = 1 (mod N): R20=1 Pass: gcd(17^((N-1)/5) - 1, N) = 1: R20=61531982206921085587 Pass: gcd(17^((N-1)/7) - 1, N) = 1: R20=42386543910943435710 Pass: gcd(17^((N-1)/13) - 1, N) = 1: R20=79878125157315867928 Pass: gcd(U{(N+1)/31}, N) = 1: d=17 p=17 q=68 R20=40539739054568829019 Pass: gcd(17^((N-1)/37) - 1, N) = 1: R20=9697882503207487448 Pass: gcd(17^((N-1)/43) - 1, N) = 1: R20=72550582439201241344 Pass: gcd(17^((N-1)/127) - 1, N) = 1: R20=49295917515741105350 Pass: gcd(17^((N-1)/239) - 1, N) = 1: R20=93957633694439323565 Pass: gcd(17^((N-1)/1933) - 1, N) = 1: R20=57891764017713142848 BLS tests passed: F1=0.3881 F2=0.0426 Main divisor test: F1=0.3881 F2=0.0354 G=0.4235 S=0.0000 T=1 G=663601383087650280 Main divisor test passed: 1/1 Final divisor test: F=0.3881 G=0.4235 H=1.1996 t=-1 a=1 Final divisor test passed: 3/3 r=3 i=0 *** N is prime! Time: 0 sec
(12*10^139-21)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(12*10^139-21)/99 N=1212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121 Factor: 2^3 divides N - 1 Factor: 2 divides N + 1 Factor: 3^2 divides N - 1 Factor: 5 divides N - 1 Factor: 7 divides N - 1 Factor: 13 divides N - 1 Factor: 37 divides N - 1 Factor: 47 divides N - 1 Factor: 139 divides N - 1 Factor: 277 divides N - 1 Factor: 2531 divides N - 1 Factor: 31051 divides N - 1 Factorization results: F1=0.1466 F2=0.0022 F1=172387503698288762520 F2=2 Pass: gcd(17^((N-1)/2) - 1, N) = 1: R20=21212121212121212119 Pass: 17^(N-1) = 1 (mod N): R20=1 Pass: gcd(17^((N-1)/3) - 1, N) = 1: R20=18396432831498985389 Pass: gcd(17^((N-1)/5) - 1, N) = 1: R20=74048937791349889255 Pass: gcd(17^((N-1)/7) - 1, N) = 1: R20=78834085428567038556 Pass: gcd(17^((N-1)/13) - 1, N) = 1: R20=10890245121477610399 Fail: gcd(17^((N-1)/37) - 1, N) not = 1: R20=0 Pass: gcd(19^((N-1)/37) - 1, N) = 1: R20=56884741142055426611 Pass: 19^(N-1) = 1 (mod N): R20=1 Pass: gcd(19^((N-1)/47) - 1, N) = 1: R20=14464004687774438574 Pass: gcd(19^((N-1)/139) - 1, N) = 1: R20=3702375482700547744 Pass: gcd(19^((N-1)/277) - 1, N) = 1: R20=38069756942770665567 Pass: gcd(19^((N-1)/2531) - 1, N) = 1: R20=46267831953386481986 Pass: gcd(19^((N-1)/31051) - 1, N) = 1: R20=54759478140664412066 BLS tests passed: F1=0.1466 F2=0.0022 APRCL test T=15120 S=168471009843745983690088184505082840762676491742609 APRCL main test (1) at level 7 for p=2 APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=0 R20=1 APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=0 R20=2 APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=0 R20=1 APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=0 R20=2 APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=0 R20=1 APRCL L_2 condition satisfied APRCL main test (1 7) done: p=2 q=31 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 8) done: p=2 q=61 k=2 g=2 h=1 R20=0 APRCL main test (1 9) done: p=2 q=19 k=1 g=2 h=1 R20=21212121212121212120 APRCL main test (1 10) for p=2 q=37 not needed APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=3 R20=0 APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=0 R20=2 APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 14) done: p=2 q=71 k=1 g=7 h=1 R20=21212121212121212120 APRCL main test (1 15) done: p=2 q=127 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=1 R20=21212121212121212120 APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=0 R20=2 APRCL main test (1 18) done: p=2 q=631 k=1 g=3 h=0 R20=1 APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=6 R20=0 APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=6 R20=0 APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=2 R20=0 APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=3 R20=0 APRCL main test (1 23) done: p=2 q=17 k=4 g=3 h=5 R20=201063099792595265 APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=5 R20=16796018821058176201 APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=1 R20=95761496710992456376 APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=11 R20=26987919347110218819 APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=12 R20=82195208017554074282 APRCL main test (1 28) done: p=2 q=109 k=2 g=6 h=3 R20=0 APRCL main test (1 29) done: p=2 q=271 k=1 g=6 h=1 R20=21212121212121212120 APRCL main test (1 30) done: p=2 q=379 k=1 g=2 h=1 R20=21212121212121212120 APRCL tests for p=2 completed APRCL main test (2) at level 7 for p=3 APRCL main test (2 4) done: p=3 q=7 k=1 g=3 h=0 R20=2 APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=0 R20=2 APRCL L_3 condition satisfied APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=1 R20=1 APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=2 R20=21212121212121212118 APRCL main test (2 9) done: p=3 q=19 k=2 g=2 h=5 R20=0 APRCL main test (2 10) for p=3 q=37 not needed APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=8 R20=0 APRCL main test (2 13) done: p=3 q=43 k=1 g=3 h=2 R20=21212121212121212118 APRCL main test (2 15) done: p=3 q=127 k=2 g=3 h=1 R20=0 APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=0 R20=2 APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=1 R20=1 APRCL main test (2 18) done: p=3 q=631 k=2 g=3 h=1 R20=0 APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=8 R20=0 APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=3 R20=1 APRCL main test (2 25) done: p=3 q=241 k=1 g=7 h=0 R20=2 APRCL main test (2 26) done: p=3 q=337 k=1 g=10 h=0 R20=2 APRCL main test (2 27) done: p=3 q=1009 k=2 g=11 h=6 R20=21212121212121212114 APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=1 R20=41134761119148027608 APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=4 R20=92623339870835922874 APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=26 R20=89503778317281442044 APRCL tests for p=3 completed APRCL main test (3) at level 7 for p=5 APRCL L_5 condition satisfied APRCL main test (3 6) done: p=5 q=11 k=1 g=2 h=4 R20=21212121212121212114 APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=3 R20=1 APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=1 R20=1 APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=3 R20=1 APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=3 R20=1 APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=3 R20=1 APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=3 R20=1 APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=4 R20=21212121212121212114 APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=2 R20=1 APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=1 R20=1 APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=1 R20=1 APRCL main test (3 25) done: p=5 q=241 k=1 g=7 h=2 R20=1 APRCL main test (3 29) done: p=5 q=271 k=1 g=6 h=0 R20=4 APRCL tests for p=5 completed APRCL main test (4) at level 7 for p=7 APRCL L_7 condition satisfied APRCL main test (4 12) done: p=7 q=29 k=1 g=2 h=4 R20=1 APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=0 R20=6 APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=0 R20=6 APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=4 R20=1 APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=1 R20=1 APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=6 R20=21212121212121212110 APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=0 R20=6 APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=2 R20=1 APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=5 R20=1 APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=6 R20=21212121212121212110 APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=3 R20=1 APRCL main test (4 27) done: p=7 q=1009 k=1 g=11 h=0 R20=6 APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=0 R20=6 APRCL tests for p=7 completed Main divisor test: F1=0.1466 F2=0.0000 G=0.5103 S=0.3637 T=15120 G=29042296832493203278897149488806303274952151534564064637368436966214680 Main divisor test passed: 15120/15120 *** N is prime! Time: 7 sec
(12*10^627-21)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(12*10^627-21)/99 N=121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121 Factor: 2^3 divides N - 1 Factor: 2 divides N + 1 Factor: 3 divides N - 1 Factor: 5 divides N - 1 Factor: 1879 divides N - 1 Factor: 5009 divides N - 1 Factorization results: F1=0.0145 F2=0.0005 F1=1129429320 F2=2 Pass: gcd(11^((N-1)/2) - 1, N) = 1: R20=21212121212121212119 Pass: 11^(N-1) = 1 (mod N): R20=1 Fail: gcd(11^((N-1)/3) - 1, N) not = 1: R20=0 Pass: gcd(19^((N-1)/3) - 1, N) = 1: R20=39217663613436110637 Pass: 19^(N-1) = 1 (mod N): R20=1 Pass: gcd(19^((N-1)/5) - 1, N) = 1: R20=6139089265136125651 Pass: gcd(19^((N-1)/1879) - 1, N) = 1: R20=60609125652033963081 Pass: gcd(19^((N-1)/5009) - 1, N) = 1: R20=17923090891878202853 BLS tests passed: F1=0.0145 F2=0.0005 APRCL test T=21621600 S=11899746474940138997195986386378974784918834949760410470927054442082167165474806877193644883192973776521771133641784445834262775820358986014555338029614130186898087503088642212371309370806095246885720542646531046146086591585240081966388395250701179307557006021635839222716514388046598063944973652627763077 APRCL main test (1) at level 11 for p=2 APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=0 R20=1 APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=0 R20=2 APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=0 R20=1 APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=2 R20=21212121212121212119 APRCL L_2 condition satisfied APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=1 R20=21212121212121212120 APRCL main test (1 7) done: p=2 q=31 k=1 g=3 h=0 R20=1 APRCL main test (1 8) done: p=2 q=61 k=2 g=2 h=3 R20=0 APRCL main test (1 9) done: p=2 q=19 k=1 g=2 h=1 R20=21212121212121212120 APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=0 R20=2 APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=3 R20=0 APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=2 R20=21212121212121212119 APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 14) done: p=2 q=71 k=1 g=7 h=0 R20=1 APRCL main test (1 15) done: p=2 q=127 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=0 R20=1 APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=3 R20=0 APRCL main test (1 18) done: p=2 q=631 k=1 g=3 h=0 R20=1 APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=7 R20=0 APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=6 R20=0 APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=3 R20=0 APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=1 R20=0 APRCL main test (1 23) done: p=2 q=17 k=4 g=3 h=14 R20=26877240994376623230 APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=4 R20=24163061892755400993 APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=2 R20=15725382059606272248 APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=3 R20=32329408025057089623 APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=0 R20=1600926964063448236 APRCL main test (1 28) done: p=2 q=109 k=2 g=6 h=1 R20=0 APRCL main test (1 29) done: p=2 q=271 k=1 g=6 h=1 R20=21212121212121212120 APRCL main test (1 30) done: p=2 q=379 k=1 g=2 h=1 R20=21212121212121212120 APRCL main test (1 31) done: p=2 q=433 k=4 g=5 h=4 R20=75449670395313177271 APRCL main test (1 32) done: p=2 q=541 k=2 g=2 h=2 R20=21212121212121212119 APRCL main test (1 33) done: p=2 q=757 k=2 g=2 h=1 R20=0 APRCL main test (1 34) done: p=2 q=2161 k=4 g=23 h=1 R20=42330527084939718523 APRCL main test (1 35) done: p=2 q=7561 k=3 g=13 h=3 R20=0 APRCL main test (1 36) done: p=2 q=15121 k=4 g=11 h=15 R20=59336619032775982506 APRCL main test (1 37) done: p=2 q=23 k=1 g=5 h=1 R20=21212121212121212120 APRCL main test (1 38) done: p=2 q=67 k=1 g=2 h=0 R20=1 APRCL main test (1 39) done: p=2 q=89 k=3 g=3 h=2 R20=0 APRCL main test (1 40) done: p=2 q=199 k=1 g=3 h=0 R20=1 APRCL main test (1 41) done: p=2 q=331 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 42) done: p=2 q=397 k=2 g=5 h=0 R20=2 APRCL main test (1 43) done: p=2 q=463 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 44) done: p=2 q=617 k=3 g=3 h=6 R20=0 APRCL main test (1 45) done: p=2 q=661 k=2 g=2 h=3 R20=0 APRCL main test (1 46) done: p=2 q=881 k=4 g=3 h=6 R20=21292537918217663374 APRCL main test (1 47) done: p=2 q=991 k=1 g=6 h=0 R20=1 APRCL main test (1 48) done: p=2 q=1321 k=3 g=13 h=7 R20=0 APRCL main test (1 49) done: p=2 q=2311 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 50) done: p=2 q=2377 k=3 g=5 h=2 R20=0 APRCL main test (1 51) done: p=2 q=2971 k=1 g=10 h=1 R20=21212121212121212120 APRCL main test (1 52) done: p=2 q=3697 k=4 g=5 h=4 R20=54806967724747448078 APRCL main test (1 53) done: p=2 q=4159 k=1 g=3 h=0 R20=1 APRCL main test (1 54) done: p=2 q=4621 k=2 g=2 h=2 R20=21212121212121212119 APRCL main test (1 55) done: p=2 q=8317 k=2 g=6 h=3 R20=0 APRCL main test (1 56) done: p=2 q=9241 k=3 g=13 h=5 R20=0 APRCL main test (1 57) done: p=2 q=16633 k=3 g=15 h=3 R20=0 APRCL main test (1 58) done: p=2 q=18481 k=4 g=13 h=8 R20=33074543498470786589 APRCL main test (1 59) done: p=2 q=23761 k=4 g=7 h=2 R20=18573274394531650330 APRCL main test (1 60) done: p=2 q=101 k=2 g=2 h=2 R20=21212121212121212119 APRCL main test (1 61) done: p=2 q=151 k=1 g=6 h=0 R20=1 APRCL main test (1 62) done: p=2 q=401 k=4 g=3 h=10 R20=3157502165501011671 APRCL main test (1 63) done: p=2 q=601 k=3 g=7 h=2 R20=0 APRCL main test (1 64) done: p=2 q=701 k=2 g=2 h=0 R20=2 APRCL main test (1 65) done: p=2 q=1051 k=1 g=7 h=0 R20=1 APRCL main test (1 66) done: p=2 q=1201 k=4 g=11 h=6 R20=35518637263776727558 APRCL main test (1 67) done: p=2 q=1801 k=3 g=11 h=5 R20=0 APRCL main test (1 68) done: p=2 q=2801 k=4 g=3 h=15 R20=61874673754050268621 APRCL main test (1 69) done: p=2 q=3301 k=2 g=6 h=0 R20=2 APRCL main test (1 70) done: p=2 q=3851 k=1 g=2 h=0 R20=1 APRCL main test (1 71) done: p=2 q=4201 k=3 g=11 h=5 R20=0 APRCL main test (1 72) done: p=2 q=4951 k=1 g=6 h=0 R20=1 APRCL main test (1 73) done: p=2 q=6301 k=2 g=10 h=0 R20=2 APRCL main test (1 74) done: p=2 q=9901 k=2 g=2 h=0 R20=2 APRCL main test (1 75) done: p=2 q=11551 k=1 g=7 h=1 R20=21212121212121212120 APRCL main test (1 76) done: p=2 q=12601 k=3 g=11 h=1 R20=0 APRCL main test (1 77) done: p=2 q=14851 k=1 g=2 h=0 R20=1 APRCL main test (1 78) done: p=2 q=15401 k=3 g=6 h=6 R20=0 APRCL main test (1 79) done: p=2 q=19801 k=3 g=13 h=5 R20=0 APRCL main test (1 80) done: p=2 q=97 k=5 g=5 h=13 R20=58414874535613167067 APRCL main test (1 81) done: p=2 q=353 k=5 g=3 h=24 R20=83864245175449928720 APRCL main test (1 82) done: p=2 q=673 k=5 g=5 h=1 R20=30695702095907445800 APRCL main test (1 83) done: p=2 q=2017 k=5 g=5 h=27 R20=57855910249412317024 APRCL main test (1 84) done: p=2 q=3169 k=5 g=7 h=7 R20=49205721971366692191 APRCL main test (1 85) done: p=2 q=3361 k=5 g=22 h=19 R20=5471229785170326888 APRCL main test (1 86) done: p=2 q=5281 k=5 g=7 h=31 R20=81995632092609828591 APRCL main test (1 87) done: p=2 q=7393 k=5 g=5 h=31 R20=73918938627672879668 APRCL main test (1 88) done: p=2 q=21601 k=5 g=7 h=4 R20=59969974358884756183 APRCL main test (1 89) done: p=2 q=30241 k=5 g=11 h=9 R20=54919913872101168891 APRCL main test (1 90) done: p=2 q=53 k=2 g=2 h=0 R20=2 APRCL main test (1 91) done: p=2 q=79 k=1 g=3 h=0 R20=1 APRCL main test (1 92) done: p=2 q=131 k=1 g=2 h=1 R20=21212121212121212120 APRCL main test (1 93) done: p=2 q=157 k=2 g=5 h=0 R20=2 APRCL main test (1 94) done: p=2 q=313 k=3 g=10 h=0 R20=4 APRCL main test (1 95) done: p=2 q=521 k=3 g=3 h=4 R20=21212121212121212117 APRCL main test (1 96) done: p=2 q=547 k=1 g=2 h=0 R20=1 APRCL main test (1 97) done: p=2 q=859 k=1 g=2 h=0 R20=1 APRCL main test (1 98) done: p=2 q=911 k=1 g=17 h=1 R20=21212121212121212120 APRCL main test (1 99) done: p=2 q=937 k=3 g=5 h=3 R20=0 APRCL main test (1 100) done: p=2 q=1093 k=2 g=5 h=3 R20=0 APRCL main test (1 101) done: p=2 q=1171 k=1 g=2 h=0 R20=1 APRCL main test (1 102) done: p=2 q=1249 k=5 g=7 h=30 R20=96143973727642305928 APRCL main test (1 103) done: p=2 q=1301 k=2 g=2 h=3 R20=0 APRCL main test (1 104) done: p=2 q=1873 k=4 g=10 h=13 R20=7114420215064391950 APRCL main test (1 105) done: p=2 q=1951 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 106) done: p=2 q=2003 k=1 g=5 h=0 R20=1 APRCL main test (1 107) done: p=2 q=2081 k=5 g=3 h=29 R20=35405476883216995233 APRCL main test (1 108) done: p=2 q=2341 k=2 g=7 h=3 R20=0 APRCL tests for p=2 completed APRCL main test (2) at level 11 for p=3 APRCL L_3 condition satisfied APRCL main test (2 4) done: p=3 q=7 k=1 g=3 h=2 R20=21212121212121212118 APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=2 R20=21212121212121212118 APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=2 R20=21212121212121212118 APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=0 R20=2 APRCL main test (2 9) done: p=3 q=19 k=2 g=2 h=4 R20=66698395931866005338 APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=6 R20=21845245643083455085 APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=4 R20=65024996996922147702 APRCL main test (2 13) done: p=3 q=43 k=1 g=3 h=1 R20=1 APRCL main test (2 15) done: p=3 q=127 k=2 g=3 h=2 R20=25436178891266714229 APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=0 R20=2 APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=2 R20=21212121212121212118 APRCL main test (2 18) done: p=3 q=631 k=2 g=3 h=5 R20=51215721976327095050 APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=5 R20=99525834339679391215 APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=1 R20=20611329958677097306 APRCL main test (2 25) done: p=3 q=241 k=1 g=7 h=1 R20=1 APRCL main test (2 26) done: p=3 q=337 k=1 g=10 h=1 R20=1 APRCL main test (2 27) done: p=3 q=1009 k=2 g=11 h=2 R20=94199294306894464366 APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=4 R20=96126141663557248291 APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=1 R20=96681311420779049673 APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=23 R20=46061300499639779951 APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=3 R20=16171680382293633188 APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=16 R20=38169046452500174337 APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=11 R20=31325764433379530396 APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=18 R20=13312693187760199165 APRCL main test (2 35) done: p=3 q=7561 k=3 g=13 h=17 R20=87248697991831848364 APRCL main test (2 36) done: p=3 q=15121 k=3 g=11 h=23 R20=47664890927538297405 APRCL main test (2 38) done: p=3 q=67 k=1 g=2 h=1 R20=1 APRCL main test (2 40) done: p=3 q=199 k=2 g=3 h=7 R20=38448135568492093765 APRCL main test (2 41) done: p=3 q=331 k=1 g=3 h=1 R20=1 APRCL main test (2 42) done: p=3 q=397 k=2 g=5 h=8 R20=80704876589595188281 APRCL main test (2 43) done: p=3 q=463 k=1 g=3 h=1 R20=1 APRCL main test (2 45) done: p=3 q=661 k=1 g=2 h=2 R20=21212121212121212118 APRCL main test (2 47) done: p=3 q=991 k=2 g=6 h=2 R20=41426104312087977535 APRCL main test (2 48) done: p=3 q=1321 k=1 g=13 h=0 R20=2 APRCL main test (2 49) done: p=3 q=2311 k=1 g=3 h=2 R20=21212121212121212118 APRCL main test (2 50) done: p=3 q=2377 k=3 g=5 h=1 R20=7467040800422689630 APRCL main test (2 51) done: p=3 q=2971 k=3 g=10 h=5 R20=97511507768252160669 APRCL main test (2 52) done: p=3 q=3697 k=1 g=5 h=2 R20=21212121212121212118 APRCL main test (2 53) done: p=3 q=4159 k=3 g=3 h=12 R20=20081952755103114320 APRCL main test (2 54) done: p=3 q=4621 k=1 g=2 h=0 R20=2 APRCL main test (2 55) done: p=3 q=8317 k=3 g=6 h=1 R20=98805851043111321105 APRCL main test (2 56) done: p=3 q=9241 k=1 g=13 h=0 R20=2 APRCL main test (2 57) done: p=3 q=16633 k=3 g=15 h=16 R20=57988867754205864186 APRCL main test (2 58) done: p=3 q=18481 k=1 g=13 h=0 R20=2 APRCL main test (2 59) done: p=3 q=23761 k=3 g=7 h=21 R20=71283922975488818057 APRCL main test (2 61) done: p=3 q=151 k=1 g=6 h=1 R20=1 APRCL main test (2 63) done: p=3 q=601 k=1 g=7 h=0 R20=2 APRCL main test (2 65) done: p=3 q=1051 k=1 g=7 h=2 R20=21212121212121212118 APRCL main test (2 66) done: p=3 q=1201 k=1 g=11 h=2 R20=21212121212121212118 APRCL main test (2 67) done: p=3 q=1801 k=2 g=11 h=4 R20=26829267278631085285 APRCL main test (2 69) done: p=3 q=3301 k=1 g=6 h=2 R20=21212121212121212118 APRCL main test (2 71) done: p=3 q=4201 k=1 g=11 h=2 R20=21212121212121212118 APRCL main test (2 72) done: p=3 q=4951 k=2 g=6 h=8 R20=67348043494954033948 APRCL main test (2 73) done: p=3 q=6301 k=2 g=10 h=7 R20=27198731089101642567 APRCL main test (2 74) done: p=3 q=9901 k=2 g=2 h=6 R20=52688716640370023191 APRCL main test (2 75) done: p=3 q=11551 k=1 g=7 h=0 R20=2 APRCL main test (2 76) done: p=3 q=12601 k=2 g=11 h=5 R20=63778005356460191178 APRCL main test (2 77) done: p=3 q=14851 k=3 g=2 h=24 R20=60109991408315837804 APRCL main test (2 79) done: p=3 q=19801 k=2 g=13 h=3 R20=3465547855616059181 APRCL main test (2 80) done: p=3 q=97 k=1 g=5 h=0 R20=2 APRCL main test (2 82) done: p=3 q=673 k=1 g=5 h=0 R20=2 APRCL main test (2 83) done: p=3 q=2017 k=2 g=5 h=5 R20=45386380711568059618 APRCL main test (2 84) done: p=3 q=3169 k=2 g=7 h=0 R20=76538062951339051995 APRCL main test (2 85) done: p=3 q=3361 k=1 g=22 h=1 R20=1 APRCL main test (2 86) done: p=3 q=5281 k=1 g=7 h=1 R20=1 APRCL main test (2 87) done: p=3 q=7393 k=1 g=5 h=0 R20=2 APRCL main test (2 88) done: p=3 q=21601 k=3 g=7 h=5 R20=5113380684600167811 APRCL main test (2 89) done: p=3 q=30241 k=3 g=11 h=11 R20=70746529620818500565 APRCL main test (2 91) done: p=3 q=79 k=1 g=3 h=1 R20=1 APRCL main test (2 93) done: p=3 q=157 k=1 g=5 h=2 R20=21212121212121212118 APRCL main test (2 94) done: p=3 q=313 k=1 g=10 h=2 R20=21212121212121212118 APRCL main test (2 96) done: p=3 q=547 k=1 g=2 h=2 R20=21212121212121212118 APRCL main test (2 97) done: p=3 q=859 k=1 g=2 h=0 R20=2 APRCL main test (2 99) done: p=3 q=937 k=2 g=5 h=6 R20=34462654457473089020 APRCL main test (2 100) done: p=3 q=1093 k=1 g=5 h=2 R20=21212121212121212118 APRCL main test (2 101) done: p=3 q=1171 k=2 g=2 h=3 R20=14337499557683183229 APRCL main test (2 102) done: p=3 q=1249 k=1 g=7 h=1 R20=1 APRCL main test (2 104) done: p=3 q=1873 k=2 g=10 h=5 R20=30847991424834419200 APRCL main test (2 105) done: p=3 q=1951 k=1 g=3 h=0 R20=2 APRCL main test (2 108) done: p=3 q=2341 k=2 g=7 h=6 R20=14407569417026137823 APRCL tests for p=3 completed APRCL main test (3) at level 11 for p=5 APRCL L_5 condition satisfied APRCL main test (3 6) done: p=5 q=11 k=1 g=2 h=3 R20=1 APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=2 R20=1 APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=0 R20=4 APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=1 R20=1 APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=2 R20=1 APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=4 R20=21212121212121212114 APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=3 R20=1 APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=2 R20=1 APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=0 R20=4 APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=1 R20=1 APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=3 R20=1 APRCL main test (3 25) done: p=5 q=241 k=1 g=7 h=0 R20=4 APRCL main test (3 29) done: p=5 q=271 k=1 g=6 h=3 R20=1 APRCL main test (3 32) done: p=5 q=541 k=1 g=2 h=0 R20=4 APRCL main test (3 34) done: p=5 q=2161 k=1 g=23 h=0 R20=4 APRCL main test (3 35) done: p=5 q=7561 k=1 g=13 h=0 R20=4 APRCL main test (3 36) done: p=5 q=15121 k=1 g=11 h=2 R20=1 APRCL main test (3 41) done: p=5 q=331 k=1 g=3 h=0 R20=4 APRCL main test (3 45) done: p=5 q=661 k=1 g=2 h=0 R20=4 APRCL main test (3 46) done: p=5 q=881 k=1 g=3 h=0 R20=4 APRCL main test (3 47) done: p=5 q=991 k=1 g=6 h=1 R20=1 APRCL main test (3 48) done: p=5 q=1321 k=1 g=13 h=1 R20=1 APRCL main test (3 49) done: p=5 q=2311 k=1 g=3 h=3 R20=1 APRCL main test (3 51) done: p=5 q=2971 k=1 g=10 h=4 R20=21212121212121212114 APRCL main test (3 54) done: p=5 q=4621 k=1 g=2 h=0 R20=4 APRCL main test (3 56) done: p=5 q=9241 k=1 g=13 h=3 R20=1 APRCL main test (3 58) done: p=5 q=18481 k=1 g=13 h=0 R20=4 APRCL main test (3 59) done: p=5 q=23761 k=1 g=7 h=3 R20=1 APRCL main test (3 60) done: p=5 q=101 k=2 g=2 h=19 R20=75357261513626191944 APRCL main test (3 61) done: p=5 q=151 k=2 g=6 h=17 R20=23346180633206161719 APRCL main test (3 62) done: p=5 q=401 k=2 g=3 h=11 R20=69468390799754387755 APRCL main test (3 63) done: p=5 q=601 k=2 g=7 h=3 R20=13190336256147374296 APRCL main test (3 64) done: p=5 q=701 k=2 g=2 h=22 R20=3840548717890697823 APRCL main test (3 65) done: p=5 q=1051 k=2 g=7 h=15 R20=62640772212743906022 APRCL main test (3 66) done: p=5 q=1201 k=2 g=11 h=4 R20=85161683517788486344 Parameters saved: 2 21621600 3 67 1 1 1804 APRCL main test (3 67) done: p=5 q=1801 k=2 g=11 h=2 R20=80490464738919112571 APRCL main test (3 68) done: p=5 q=2801 k=2 g=3 h=9 R20=42391314463305687119 APRCL main test (3 69) done: p=5 q=3301 k=2 g=6 h=13 R20=51475571597163654485 APRCL main test (3 70) done: p=5 q=3851 k=2 g=2 h=5 R20=7560467345689945923 APRCL main test (3 71) done: p=5 q=4201 k=2 g=11 h=24 R20=58142118106931353033 APRCL main test (3 72) done: p=5 q=4951 k=2 g=6 h=9 R20=76362636306040699963 APRCL main test (3 73) done: p=5 q=6301 k=2 g=10 h=16 R20=85108546637691158423 APRCL main test (3 74) done: p=5 q=9901 k=2 g=2 h=18 R20=6726097709202081896 APRCL main test (3 75) done: p=5 q=11551 k=2 g=7 h=4 R20=90294507281945427539 APRCL main test (3 76) done: p=5 q=12601 k=2 g=11 h=19 R20=85703739290923353879 APRCL main test (3 77) done: p=5 q=14851 k=2 g=2 h=2 R20=686246801129826908 APRCL main test (3 78) done: p=5 q=15401 k=2 g=6 h=11 R20=78632870383256464178 APRCL main test (3 79) done: p=5 q=19801 k=2 g=13 h=16 R20=87983309953842210535 APRCL main test (3 85) done: p=5 q=3361 k=1 g=22 h=2 R20=1 APRCL main test (3 86) done: p=5 q=5281 k=1 g=7 h=4 R20=21212121212121212114 APRCL main test (3 88) done: p=5 q=21601 k=2 g=7 h=8 R20=76789122509556856738 APRCL main test (3 89) done: p=5 q=30241 k=1 g=11 h=3 R20=1 APRCL main test (3 92) done: p=5 q=131 k=1 g=2 h=3 R20=1 APRCL main test (3 95) done: p=5 q=521 k=1 g=3 h=4 R20=21212121212121212114 APRCL main test (3 98) done: p=5 q=911 k=1 g=17 h=0 R20=4 APRCL main test (3 101) done: p=5 q=1171 k=1 g=2 h=0 R20=4 APRCL main test (3 103) done: p=5 q=1301 k=2 g=2 h=4 R20=60427000857407075194 APRCL main test (3 105) done: p=5 q=1951 k=2 g=3 h=20 R20=70176086976144522596 APRCL main test (3 107) done: p=5 q=2081 k=1 g=3 h=0 R20=4 APRCL main test (3 108) done: p=5 q=2341 k=1 g=7 h=3 R20=1 APRCL tests for p=5 completed APRCL main test (4) at level 11 for p=7 APRCL L_7 condition satisfied APRCL main test (4 12) done: p=7 q=29 k=1 g=2 h=2 R20=15791147772778835963 APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=1 R20=63973745784152415015 APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=4 R20=92378162744538743041 APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=2 R20=80915231599014856345 APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=0 R20=42026328842880933800 APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=5 R20=58142344921449089786 APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=5 R20=3508892988899744682 APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=2 R20=67912989704679200836 APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=4 R20=61935867594528992738 APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=1 R20=35476225533727905692 APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=5 R20=55222644034818063689 APRCL main test (4 27) done: p=7 q=1009 k=1 g=11 h=0 R20=35052911449505640834 APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=6 R20=32027484175698375571 APRCL main test (4 33) done: p=7 q=757 k=1 g=2 h=2 R20=80331269257380557736 APRCL main test (4 35) done: p=7 q=7561 k=1 g=13 h=6 R20=41090523842542231897 APRCL main test (4 36) done: p=7 q=15121 k=1 g=11 h=3 R20=26589026960476934974 APRCL main test (4 43) done: p=7 q=463 k=1 g=3 h=2 R20=21435835274205069280 APRCL main test (4 44) done: p=7 q=617 k=1 g=3 h=3 R20=24364341253440138136 APRCL main test (4 49) done: p=7 q=2311 k=1 g=3 h=1 R20=86086377946386114999 APRCL main test (4 52) done: p=7 q=3697 k=1 g=5 h=6 R20=42882198249524098277 APRCL main test (4 53) done: p=7 q=4159 k=1 g=3 h=1 R20=1718411675476614199 APRCL main test (4 54) done: p=7 q=4621 k=1 g=2 h=5 R20=23344140396249535755 APRCL main test (4 55) done: p=7 q=8317 k=1 g=6 h=6 R20=20370205236800759954 APRCL main test (4 56) done: p=7 q=9241 k=1 g=13 h=2 R20=27788378972762323232 APRCL main test (4 57) done: p=7 q=16633 k=1 g=15 h=5 R20=77185147295597064352 APRCL main test (4 58) done: p=7 q=18481 k=1 g=13 h=1 R20=84576015647323580978 APRCL main test (4 64) done: p=7 q=701 k=1 g=2 h=1 R20=78606206970202985079 APRCL main test (4 65) done: p=7 q=1051 k=1 g=7 h=3 R20=34097764622525981586 APRCL main test (4 68) done: p=7 q=2801 k=1 g=3 h=0 R20=26442530188630318639 APRCL main test (4 70) done: p=7 q=3851 k=1 g=2 h=0 R20=81773981944765909847 APRCL main test (4 71) done: p=7 q=4201 k=1 g=11 h=2 R20=61708530001833545087 APRCL main test (4 73) done: p=7 q=6301 k=1 g=10 h=6 R20=13107822738083473196 APRCL main test (4 75) done: p=7 q=11551 k=1 g=7 h=6 R20=25956692008226691351 APRCL main test (4 76) done: p=7 q=12601 k=1 g=11 h=2 R20=22600116476851961925 APRCL main test (4 78) done: p=7 q=15401 k=1 g=6 h=1 R20=73681018723398764038 APRCL main test (4 82) done: p=7 q=673 k=1 g=5 h=4 R20=34959100115476024834 APRCL main test (4 83) done: p=7 q=2017 k=1 g=5 h=2 R20=43158771757952366564 APRCL main test (4 85) done: p=7 q=3361 k=1 g=22 h=1 R20=31906729030658598788 APRCL main test (4 87) done: p=7 q=7393 k=1 g=5 h=5 R20=60427661154680821169 APRCL main test (4 89) done: p=7 q=30241 k=1 g=11 h=2 R20=88985809855148918102 APRCL main test (4 96) done: p=7 q=547 k=1 g=2 h=3 R20=64158988554057935134 APRCL main test (4 98) done: p=7 q=911 k=1 g=17 h=6 R20=87324584836923674840 APRCL main test (4 100) done: p=7 q=1093 k=1 g=5 h=2 R20=43583356703014138683 APRCL main test (4 106) done: p=7 q=2003 k=1 g=5 h=4 R20=6490132182458267662 APRCL tests for p=7 completed APRCL main test (5) at level 11 for p=11 APRCL L_11 condition satisfied APRCL main test (5 37) done: p=11 q=23 k=1 g=5 h=9 R20=47455813137563815397 APRCL main test (5 38) done: p=11 q=67 k=1 g=2 h=5 R20=33175327900482065242 APRCL main test (5 39) done: p=11 q=89 k=1 g=3 h=0 R20=20792922878624816777 APRCL main test (5 40) done: p=11 q=199 k=1 g=3 h=1 R20=23888950045876462893 APRCL main test (5 41) done: p=11 q=331 k=1 g=3 h=6 R20=61296389501637854734 APRCL main test (5 42) done: p=11 q=397 k=1 g=5 h=7 R20=28596378668454138231 APRCL main test (5 43) done: p=11 q=463 k=1 g=3 h=4 R20=31118861163859972152 APRCL main test (5 44) done: p=11 q=617 k=1 g=3 h=2 R20=28747880430458779370 APRCL main test (5 45) done: p=11 q=661 k=1 g=2 h=4 R20=4192463275854535790 APRCL main test (5 46) done: p=11 q=881 k=1 g=3 h=1 R20=63650019337190794664 APRCL main test (5 47) done: p=11 q=991 k=1 g=6 h=7 R20=40659836441769971448 APRCL main test (5 48) done: p=11 q=1321 k=1 g=13 h=5 R20=52033178986976756316 APRCL main test (5 49) done: p=11 q=2311 k=1 g=3 h=2 R20=98663822769758224950 APRCL main test (5 50) done: p=11 q=2377 k=1 g=5 h=9 R20=20160990681539517015 APRCL main test (5 51) done: p=11 q=2971 k=1 g=10 h=7 R20=76295151813619047699 APRCL main test (5 52) done: p=11 q=3697 k=1 g=5 h=4 R20=11511454371229441006 APRCL main test (5 53) done: p=11 q=4159 k=1 g=3 h=3 R20=32214551904824895480 APRCL main test (5 54) done: p=11 q=4621 k=1 g=2 h=2 R20=17417404061964697244 APRCL main test (5 55) done: p=11 q=8317 k=1 g=6 h=4 R20=85104139689052561161 APRCL main test (5 56) done: p=11 q=9241 k=1 g=13 h=0 R20=75402223717606047808 APRCL main test (5 57) done: p=11 q=16633 k=1 g=15 h=8 R20=77499268300723905276 APRCL main test (5 58) done: p=11 q=18481 k=1 g=13 h=6 R20=22073169335936537579 APRCL main test (5 59) done: p=11 q=23761 k=1 g=7 h=1 R20=8149703576706411755 APRCL main test (5 69) done: p=11 q=3301 k=1 g=6 h=3 R20=68456481448035037990 APRCL main test (5 70) done: p=11 q=3851 k=1 g=2 h=9 R20=92989324982645093331 APRCL main test (5 72) done: p=11 q=4951 k=1 g=6 h=0 R20=93771931818884792583 APRCL main test (5 74) done: p=11 q=9901 k=1 g=2 h=10 R20=75261084715743122688 APRCL main test (5 75) done: p=11 q=11551 k=1 g=7 h=0 R20=5077988625531435698 APRCL main test (5 77) done: p=11 q=14851 k=1 g=2 h=2 R20=75003592994073258629 APRCL main test (5 78) done: p=11 q=15401 k=1 g=6 h=10 R20=8272100535901454651 APRCL main test (5 79) done: p=11 q=19801 k=1 g=13 h=1 R20=27217919368786546656 APRCL main test (5 81) done: p=11 q=353 k=1 g=3 h=1 R20=11907639229364149516 APRCL main test (5 84) done: p=11 q=3169 k=1 g=7 h=10 R20=97952923898040042245 APRCL main test (5 86) done: p=11 q=5281 k=1 g=7 h=2 R20=85516814806668232997 APRCL main test (5 87) done: p=11 q=7393 k=1 g=5 h=2 R20=62006447129871717023 APRCL main test (5 97) done: p=11 q=859 k=1 g=2 h=6 R20=82610985059328695053 APRCL main test (5 106) done: p=11 q=2003 k=1 g=5 h=10 R20=43822800564181798583 APRCL tests for p=11 completed APRCL main test (6) at level 11 for p=13 APRCL L_13 condition satisfied APRCL main test (6 90) done: p=13 q=53 k=1 g=2 h=11 R20=87076531802257452136 APRCL main test (6 91) done: p=13 q=79 k=1 g=3 h=12 R20=80870624127346108743 APRCL main test (6 92) done: p=13 q=131 k=1 g=2 h=10 R20=97589930994332403082 APRCL main test (6 93) done: p=13 q=157 k=1 g=5 h=8 R20=95803602828062991527 APRCL main test (6 94) done: p=13 q=313 k=1 g=10 h=7 R20=34556252386609788030 APRCL main test (6 95) done: p=13 q=521 k=1 g=3 h=9 R20=87980469246815966175 APRCL main test (6 96) done: p=13 q=547 k=1 g=2 h=2 R20=87431469402030972172 APRCL main test (6 97) done: p=13 q=859 k=1 g=2 h=1 R20=59143916531321392179 APRCL main test (6 98) done: p=13 q=911 k=1 g=17 h=8 R20=9089620374305953056 APRCL main test (6 99) done: p=13 q=937 k=1 g=5 h=8 R20=70051855923558639178 APRCL main test (6 100) done: p=13 q=1093 k=1 g=5 h=8 R20=28577600814524186529 APRCL main test (6 101) done: p=13 q=1171 k=1 g=2 h=3 R20=14690477811739590119 APRCL main test (6 102) done: p=13 q=1249 k=1 g=7 h=10 R20=82717447701208441954 APRCL main test (6 103) done: p=13 q=1301 k=1 g=2 h=4 R20=14782785768268566032 APRCL main test (6 104) done: p=13 q=1873 k=1 g=10 h=6 R20=27976683374591745365 APRCL main test (6 105) done: p=13 q=1951 k=1 g=3 h=11 R20=84794696837854997202 APRCL main test (6 106) done: p=13 q=2003 k=1 g=5 h=8 R20=95172439274939040115 APRCL main test (6 107) done: p=13 q=2081 k=1 g=3 h=9 R20=12947986000992745754 APRCL main test (6 108) done: p=13 q=2341 k=1 g=7 h=9 R20=62938836909288710857 APRCL tests for p=13 completed Main divisor test: F1=0.0145 F2=0.0000 G=0.5001 S=0.4857 T=21621600 G=13439922569364038228308544811097262753628026012500134561100022868123841445828538608440141848746119801194815936664669730245168239596100491730308745533157226919379779877913903073641823530179156006545371470191302559807663199795235427812042308103890662468532180172252071180942041398061685379674688109905290665177217640 Parameters saved: 4 21621600 1957610 0 0 2 1801 Main divisor test passed: 21621600/21621600 *** N is prime! Time: 5049 sec
(12*10^1399-21)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(12*10^1399-21)/99 N=1212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121 Factor: 3^2 divides N - 1 Factor: 37 divides N - 1 Factor: 467 divides N - 1 Factor: 47533 divides N - 1 Factor: 115081654907 divides N - 1 Factor: 89412401116867 divides N - 1 Factor: 42983757528467293 divides N - 1 Factor: 10857980200444401822643 divides N - 1 Factor: 1399 divides N - 1 Factor: 2797 divides N - 1 Factor: 65707 divides N - 1 Factor: 10721223053119 divides N - 1 Factor: 8504078367955459941583174189321 divides N - 1 Factor: 7 divides N - 1 Factor: 13 divides N - 1 Factor: 552677 divides N - 1 Factor: 131293689927974865167 divides N - 1 Factor: 1309927 divides N - 1 Factor: 2^3 divides N - 1 Factor: 2 divides N + 1 Factor: 5 divides N - 1 Factorization results: F1=0.1176 F2=0.0002 F1=287919279493555990042620887198755195820562893343421690917222665498401381966832676471313123087010326344920104126155081625683425688281572330541686431866059798659855240 F2=2 Pass: gcd(11^((N-1)/3) - 1, N) = 1: R20=16710521857956671771 Pass: 11^(N-1) = 1 (mod N): R20=1 Pass: gcd(11^((N-1)/37) - 1, N) = 1: R20=26871623559092893845 Pass: gcd(11^((N-1)/467) - 1, N) = 1: R20=97860189375692897250 Pass: gcd(11^((N-1)/47533) - 1, N) = 1: R20=7201012888688566031 Pass: gcd(11^((N-1)/115081654907) - 1, N) = 1: R20=90330043763556229279 Pass: gcd(11^((N-1)/89412401116867) - 1, N) = 1: R20=58067505800429041877 Pass: gcd(11^((N-1)/42983757528467293) - 1, N) = 1: R20=40716457204941758333 Pass: gcd(11^((N-1)/10857980200444401822643) - 1, N) = 1: R20=81999716237388947893 Pass: gcd(11^((N-1)/1399) - 1, N) = 1: R20=37878596541497558258 Pass: gcd(11^((N-1)/2797) - 1, N) = 1: R20=36191280403610782162 Pass: gcd(11^((N-1)/65707) - 1, N) = 1: R20=34985270907450767637 Pass: gcd(11^((N-1)/10721223053119) - 1, N) = 1: R20=18036464130078847886 Pass: gcd(11^((N-1)/8504078367955459941583174189321) - 1, N) = 1: R20=54555760069365540908 Pass: gcd(11^((N-1)/7) - 1, N) = 1: R20=78554247386806957410 Pass: gcd(11^((N-1)/13) - 1, N) = 1: R20=27805143209176711350 Pass: gcd(11^((N-1)/552677) - 1, N) = 1: R20=55549623772653676505 Pass: gcd(11^((N-1)/131293689927974865167) - 1, N) = 1: R20=38699745634039309572 Pass: gcd(11^((N-1)/1309927) - 1, N) = 1: R20=14137722618713568132 Pass: gcd(11^((N-1)/2) - 1, N) = 1: R20=21212121212121212119 Pass: gcd(11^((N-1)/5) - 1, N) = 1: R20=29128264698038777743 BLS tests passed: F1=0.1176 F2=0.0002 APRCL test T=21621600 S=1522264571048142474914838861973982350450201782569119407613162181849565695016227852458360966958884032192524080488865016934750442801685905984958395308305882382391312248104042027224709155389679656495732939403643956119325688416310059945405139177206969435500591220720344567617034957625662521874488654622614134963550046279363130630581768614903600159952503581967441279206365586537113732089890095263725384838225079541601917776801907453025441530916837842835898561346318688853661647407496613222777163558302958338719651912142008864043109705936326339 APRCL main test (1) at level 11 for p=2 APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=0 R20=1 APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=0 R20=2 APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=0 R20=1 APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=0 R20=2 APRCL L_2 condition satisfied APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=1 R20=21212121212121212120 APRCL main test (1 7) done: p=2 q=31 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 8) done: p=2 q=61 k=2 g=2 h=1 R20=0 APRCL main test (1 9) done: p=2 q=19 k=1 g=2 h=1 R20=21212121212121212120 APRCL main test (1 10) for p=2 q=37 not needed APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=3 R20=0 APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=0 R20=2 APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 14) done: p=2 q=71 k=1 g=7 h=1 R20=21212121212121212120 APRCL main test (1 15) done: p=2 q=127 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=1 R20=21212121212121212120 APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=0 R20=2 APRCL main test (1 18) done: p=2 q=631 k=1 g=3 h=0 R20=1 APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=6 R20=0 APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=7 R20=0 APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=2 R20=0 APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=3 R20=0 APRCL main test (1 23) done: p=2 q=17 k=4 g=3 h=12 R20=66150004992098436593 APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=5 R20=34732848235561866237 APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=1 R20=35655048865104112079 APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=1 R20=52369034419798558600 APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=12 R20=26596923890356261566 APRCL main test (1 28) done: p=2 q=109 k=2 g=6 h=3 R20=0 APRCL main test (1 29) done: p=2 q=271 k=1 g=6 h=1 R20=21212121212121212120 APRCL main test (1 30) done: p=2 q=379 k=1 g=2 h=0 R20=1 APRCL main test (1 31) done: p=2 q=433 k=4 g=5 h=2 R20=59355448423400600220 APRCL main test (1 32) done: p=2 q=541 k=2 g=2 h=3 R20=0 APRCL main test (1 33) done: p=2 q=757 k=2 g=2 h=2 R20=21212121212121212119 APRCL main test (1 34) done: p=2 q=2161 k=4 g=23 h=15 R20=92835964657979774051 APRCL main test (1 35) done: p=2 q=7561 k=3 g=13 h=7 R20=0 APRCL main test (1 36) done: p=2 q=15121 k=4 g=11 h=0 R20=28722111376073749487 APRCL main test (1 37) done: p=2 q=23 k=1 g=5 h=0 R20=1 APRCL main test (1 38) done: p=2 q=67 k=1 g=2 h=1 R20=21212121212121212120 APRCL main test (1 39) done: p=2 q=89 k=3 g=3 h=0 R20=4 APRCL main test (1 40) done: p=2 q=199 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 41) done: p=2 q=331 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 42) done: p=2 q=397 k=2 g=5 h=0 R20=2 APRCL main test (1 43) done: p=2 q=463 k=1 g=3 h=0 R20=1 APRCL main test (1 44) done: p=2 q=617 k=3 g=3 h=1 R20=0 APRCL main test (1 45) done: p=2 q=661 k=2 g=2 h=0 R20=2 APRCL main test (1 46) done: p=2 q=881 k=4 g=3 h=10 R20=66275342055381325890 APRCL main test (1 47) done: p=2 q=991 k=1 g=6 h=1 R20=21212121212121212120 APRCL main test (1 48) done: p=2 q=1321 k=3 g=13 h=0 R20=4 APRCL main test (1 49) done: p=2 q=2311 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 50) done: p=2 q=2377 k=3 g=5 h=7 R20=0 APRCL main test (1 51) done: p=2 q=2971 k=1 g=10 h=1 R20=21212121212121212120 APRCL main test (1 52) done: p=2 q=3697 k=4 g=5 h=10 R20=69025013594342694441 APRCL main test (1 53) done: p=2 q=4159 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 54) done: p=2 q=4621 k=2 g=2 h=0 R20=2 APRCL main test (1 55) done: p=2 q=8317 k=2 g=6 h=2 R20=21212121212121212119 APRCL main test (1 56) done: p=2 q=9241 k=3 g=13 h=7 R20=0 APRCL main test (1 57) done: p=2 q=16633 k=3 g=15 h=6 R20=0 APRCL main test (1 58) done: p=2 q=18481 k=4 g=13 h=15 R20=6757486107753026544 APRCL main test (1 59) done: p=2 q=23761 k=4 g=7 h=12 R20=36510593232694171369 APRCL main test (1 60) done: p=2 q=55441 k=4 g=38 h=0 R20=19505899720947539350 APRCL main test (1 61) done: p=2 q=101 k=2 g=2 h=2 R20=21212121212121212119 APRCL main test (1 62) done: p=2 q=151 k=1 g=6 h=1 R20=21212121212121212120 APRCL main test (1 63) done: p=2 q=401 k=4 g=3 h=8 R20=31529591207949899499 APRCL main test (1 64) done: p=2 q=601 k=3 g=7 h=4 R20=21212121212121212117 APRCL main test (1 65) done: p=2 q=701 k=2 g=2 h=0 R20=2 APRCL main test (1 66) done: p=2 q=1051 k=1 g=7 h=0 R20=1 APRCL main test (1 67) done: p=2 q=1201 k=4 g=11 h=14 R20=71486746281587174453 APRCL main test (1 68) done: p=2 q=1801 k=3 g=11 h=5 R20=0 APRCL main test (1 69) done: p=2 q=2801 k=4 g=3 h=0 R20=27283084520423157013 APRCL main test (1 70) done: p=2 q=3301 k=2 g=6 h=1 R20=0 APRCL main test (1 71) done: p=2 q=3851 k=1 g=2 h=1 R20=21212121212121212120 APRCL main test (1 72) done: p=2 q=4201 k=3 g=11 h=5 R20=0 APRCL main test (1 73) done: p=2 q=4951 k=1 g=6 h=0 R20=1 APRCL main test (1 74) done: p=2 q=6301 k=2 g=10 h=3 R20=0 APRCL main test (1 75) done: p=2 q=9901 k=2 g=2 h=3 R20=0 APRCL main test (1 76) done: p=2 q=11551 k=1 g=7 h=0 R20=1 APRCL main test (1 77) done: p=2 q=12601 k=3 g=11 h=1 R20=0 APRCL main test (1 78) done: p=2 q=14851 k=1 g=2 h=1 R20=21212121212121212120 APRCL main test (1 79) done: p=2 q=15401 k=3 g=6 h=7 R20=0 APRCL main test (1 80) done: p=2 q=19801 k=3 g=13 h=1 R20=0 APRCL main test (1 81) done: p=2 q=34651 k=1 g=2 h=1 R20=21212121212121212120 APRCL main test (1 82) done: p=2 q=92401 k=4 g=34 h=2 R20=4318571638980563100 APRCL main test (1 83) done: p=2 q=103951 k=1 g=6 h=1 R20=21212121212121212120 APRCL main test (1 84) done: p=2 q=118801 k=4 g=17 h=14 R20=20918885515670200277 APRCL main test (1 85) done: p=2 q=415801 k=3 g=31 h=4 R20=21212121212121212117 APRCL main test (1 86) done: p=2 q=97 k=5 g=5 h=9 R20=22952586614399382463 Parameters saved: 2 21621600 1 87 1 1 1922 APRCL main test (1 87) done: p=2 q=353 k=5 g=3 h=21 R20=9434454425119752132 APRCL main test (1 88) done: p=2 q=673 k=5 g=5 h=4 R20=4657150747261966390 APRCL main test (1 89) done: p=2 q=2017 k=5 g=5 h=6 R20=91292976392238328490 APRCL main test (1 90) done: p=2 q=3169 k=5 g=7 h=2 R20=20462675394815786040 APRCL main test (1 91) done: p=2 q=3361 k=5 g=22 h=13 R20=7705511086997605394 APRCL main test (1 92) done: p=2 q=5281 k=5 g=7 h=5 R20=38627135646414407352 APRCL main test (1 93) done: p=2 q=7393 k=5 g=5 h=11 R20=64498893829780477202 Parameters saved: 2 21621600 1 94 1 2 1932 APRCL main test (1 94) done: p=2 q=21601 k=5 g=7 h=13 R20=98085800166740215804 APRCL main test (1 95) done: p=2 q=30241 k=5 g=11 h=28 R20=63944696081900472859 APRCL main test (1 96) done: p=2 q=47521 k=5 g=17 h=22 R20=69956626896250389271 APRCL main test (1 97) done: p=2 q=66529 k=5 g=19 h=27 R20=50020241181288445974 APRCL main test (1 98) done: p=2 q=79201 k=5 g=13 h=28 R20=23137442685212851654 APRCL main test (1 99) done: p=2 q=110881 k=5 g=69 h=18 R20=79892830328137106128 APRCL main test (1 100) done: p=2 q=151201 k=5 g=17 h=3 R20=66695402237494498893 Parameters saved: 2 21621600 1 101 1 3 2002 APRCL main test (1 101) done: p=2 q=332641 k=5 g=19 h=20 R20=61685574938888880453 APRCL main test (1 102) done: p=2 q=53 k=2 g=2 h=3 R20=0 APRCL main test (1 103) done: p=2 q=79 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 104) done: p=2 q=131 k=1 g=2 h=1 R20=21212121212121212120 APRCL main test (1 105) done: p=2 q=157 k=2 g=5 h=0 R20=2 APRCL main test (1 106) done: p=2 q=313 k=3 g=10 h=6 R20=0 APRCL main test (1 107) done: p=2 q=521 k=3 g=3 h=7 R20=0 APRCL main test (1 108) done: p=2 q=547 k=1 g=2 h=1 R20=21212121212121212120 APRCL main test (1 109) done: p=2 q=859 k=1 g=2 h=0 R20=1 APRCL main test (1 110) done: p=2 q=911 k=1 g=17 h=0 R20=1 APRCL main test (1 111) done: p=2 q=937 k=3 g=5 h=3 R20=0 APRCL main test (1 112) done: p=2 q=1093 k=2 g=5 h=0 R20=2 APRCL main test (1 113) done: p=2 q=1171 k=1 g=2 h=1 R20=21212121212121212120 APRCL main test (1 114) done: p=2 q=1249 k=5 g=7 h=8 R20=81324854841524350329 APRCL main test (1 115) done: p=2 q=1301 k=2 g=2 h=1 R20=0 APRCL main test (1 116) done: p=2 q=1873 k=4 g=10 h=1 R20=44343189552703353893 APRCL main test (1 117) done: p=2 q=1951 k=1 g=3 h=0 R20=1 APRCL main test (1 118) done: p=2 q=2003 k=1 g=5 h=1 R20=21212121212121212120 APRCL main test (1 119) done: p=2 q=2081 k=5 g=3 h=13 R20=34415159952788184580 APRCL main test (1 120) done: p=2 q=2341 k=2 g=7 h=0 R20=2 APRCL main test (1 121) done: p=2 q=2731 k=1 g=3 h=0 R20=1 APRCL main test (1 122) done: p=2 q=2861 k=2 g=2 h=2 R20=21212121212121212119 APRCL main test (1 123) done: p=2 q=3121 k=4 g=7 h=6 R20=49027021301128010255 APRCL main test (1 124) done: p=2 q=3433 k=3 g=5 h=5 R20=0 APRCL main test (1 125) done: p=2 q=3511 k=1 g=7 h=1 R20=21212121212121212120 APRCL main test (1 126) done: p=2 q=5851 k=1 g=2 h=0 R20=1 APRCL main test (1 127) done: p=2 q=6007 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 128) done: p=2 q=6553 k=3 g=10 h=6 R20=0 APRCL main test (1 129) done: p=2 q=7151 k=1 g=7 h=1 R20=21212121212121212120 APRCL main test (1 130) done: p=2 q=7723 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 131) done: p=2 q=8009 k=3 g=3 h=5 R20=0 APRCL main test (1 132) done: p=2 q=8191 k=1 g=17 h=0 R20=1 APRCL main test (1 133) done: p=2 q=8581 k=2 g=6 h=0 R20=2 APRCL main test (1 134) done: p=2 q=8737 k=5 g=5 h=25 R20=37926334310800058750 APRCL main test (1 135) done: p=2 q=9829 k=2 g=10 h=2 R20=21212121212121212119 APRCL main test (1 136) done: p=2 q=11701 k=2 g=6 h=0 R20=2 APRCL main test (1 137) done: p=2 q=13729 k=5 g=23 h=24 R20=87325004495201608940 APRCL main test (1 138) done: p=2 q=14561 k=5 g=6 h=22 R20=24553071482865526325 Parameters saved: 2 21621600 1 139 1 4 2021 APRCL main test (1 139) done: p=2 q=15601 k=4 g=23 h=8 R20=24700897986698168781 APRCL main test (1 140) done: p=2 q=16381 k=2 g=2 h=1 R20=0 APRCL main test (1 141) done: p=2 q=17551 k=1 g=3 h=0 R20=1 APRCL main test (1 142) done: p=2 q=20021 k=2 g=3 h=0 R20=2 APRCL main test (1 143) done: p=2 q=20593 k=4 g=5 h=12 R20=62452804275163461939 APRCL main test (1 144) done: p=2 q=21841 k=4 g=11 h=11 R20=58480015260215575225 APRCL main test (1 145) done: p=2 q=24571 k=1 g=7 h=1 R20=21212121212121212120 APRCL main test (1 146) done: p=2 q=25741 k=2 g=6 h=0 R20=2 APRCL main test (1 147) done: p=2 q=26209 k=5 g=11 h=16 R20=62463061990985596771 APRCL main test (1 148) done: p=2 q=28081 k=4 g=19 h=9 R20=24147036179787262123 APRCL main test (1 149) done: p=2 q=36037 k=2 g=2 h=3 R20=0 APRCL main test (1 150) done: p=2 q=38611 k=1 g=3 h=1 R20=21212121212121212120 APRCL main test (1 151) done: p=2 q=39313 k=4 g=10 h=15 R20=29046713430525732107 APRCL main test (1 152) done: p=2 q=42901 k=2 g=6 h=3 R20=0 APRCL main test (1 153) done: p=2 q=48049 k=4 g=17 h=1 R20=74183622020451007030 APRCL main test (1 154) done: p=2 q=50051 k=1 g=2 h=1 R20=21212121212121212120 APRCL main test (1 155) done: p=2 q=51481 k=3 g=17 h=5 R20=0 APRCL main test (1 156) done: p=2 q=54601 k=3 g=22 h=7 R20=0 APRCL main test (1 157) done: p=2 q=65521 k=4 g=17 h=11 R20=18216042346106013989 APRCL main test (1 158) done: p=2 q=70201 k=3 g=14 h=2 R20=0 APRCL main test (1 159) done: p=2 q=72073 k=3 g=5 h=6 R20=0 APRCL main test (1 160) done: p=2 q=81901 k=2 g=2 h=3 R20=0 APRCL main test (1 161) done: p=2 q=93601 k=5 g=22 h=27 R20=67623392560538105002 APRCL main test (1 162) done: p=2 q=96097 k=5 g=5 h=31 R20=4776873836323466116 APRCL tests for p=2 completed APRCL main test (2) at level 11 for p=3 APRCL main test (2 4) done: p=3 q=7 k=1 g=3 h=0 R20=2 APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=0 R20=2 APRCL L_3 condition satisfied APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=1 R20=1 APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=2 R20=21212121212121212118 APRCL main test (2 9) done: p=3 q=19 k=2 g=2 h=5 R20=0 APRCL main test (2 10) for p=3 q=37 not needed APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=8 R20=0 APRCL main test (2 13) done: p=3 q=43 k=1 g=3 h=2 R20=21212121212121212118 APRCL main test (2 15) done: p=3 q=127 k=2 g=3 h=1 R20=0 APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=0 R20=2 APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=1 R20=1 APRCL main test (2 18) done: p=3 q=631 k=2 g=3 h=1 R20=0 APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=5 R20=0 APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=3 R20=1 APRCL main test (2 25) done: p=3 q=241 k=1 g=7 h=0 R20=2 APRCL main test (2 26) done: p=3 q=337 k=1 g=10 h=2 R20=21212121212121212118 APRCL main test (2 27) done: p=3 q=1009 k=2 g=11 h=6 R20=21212121212121212114 APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=7 R20=35590224705796604669 Parameters saved: 2 21621600 2 29 1 5 2023 APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=4 R20=35948746157884090977 APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=12 R20=61594058785236268323 APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=16 R20=82142501818291586078 APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=10 R20=46848988613192505977 APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=24 R20=77916930020399952115 APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=8 R20=29783014225522326695 Parameters saved: 2 21621600 2 35 1 6 1956 APRCL main test (2 35) done: p=3 q=7561 k=3 g=13 h=10 R20=43690972800944582420 APRCL main test (2 36) done: p=3 q=15121 k=3 g=11 h=3 R20=23163083115278099703 APRCL main test (2 38) done: p=3 q=67 k=1 g=2 h=2 R20=21212121212121212118 APRCL main test (2 40) done: p=3 q=199 k=2 g=3 h=3 R20=1 APRCL main test (2 41) done: p=3 q=331 k=1 g=3 h=0 R20=2 APRCL main test (2 42) done: p=3 q=397 k=2 g=5 h=0 R20=6 APRCL main test (2 43) done: p=3 q=463 k=1 g=3 h=2 R20=21212121212121212118 APRCL main test (2 45) done: p=3 q=661 k=1 g=2 h=0 R20=2 APRCL main test (2 47) done: p=3 q=991 k=2 g=6 h=2 R20=0 APRCL main test (2 48) done: p=3 q=1321 k=1 g=13 h=2 R20=21212121212121212118 APRCL main test (2 49) done: p=3 q=2311 k=1 g=3 h=0 R20=2 APRCL main test (2 50) done: p=3 q=2377 k=3 g=5 h=11 R20=47265564734964438406 APRCL main test (2 51) done: p=3 q=2971 k=3 g=10 h=18 R20=28288797227956806376 APRCL main test (2 52) done: p=3 q=3697 k=1 g=5 h=0 R20=2 APRCL main test (2 53) done: p=3 q=4159 k=3 g=3 h=3 R20=10028465680620570126 APRCL main test (2 54) done: p=3 q=4621 k=1 g=2 h=2 R20=21212121212121212118 APRCL main test (2 55) done: p=3 q=8317 k=3 g=6 h=7 R20=15506615767406358312 Parameters saved: 2 21621600 2 56 1 7 2136 APRCL main test (2 56) done: p=3 q=9241 k=1 g=13 h=0 R20=2 APRCL main test (2 57) done: p=3 q=16633 k=3 g=15 h=3 R20=49264000308982446469 APRCL main test (2 58) done: p=3 q=18481 k=1 g=13 h=2 R20=21212121212121212118 APRCL main test (2 59) done: p=3 q=23761 k=3 g=7 h=14 R20=25616752977246870067 APRCL main test (2 60) done: p=3 q=55441 k=2 g=38 h=6 R20=21212121212121212114 APRCL main test (2 62) done: p=3 q=151 k=1 g=6 h=1 R20=1 APRCL main test (2 64) done: p=3 q=601 k=1 g=7 h=0 R20=2 APRCL main test (2 66) done: p=3 q=1051 k=1 g=7 h=2 R20=21212121212121212118 APRCL main test (2 67) done: p=3 q=1201 k=1 g=11 h=1 R20=1 APRCL main test (2 68) done: p=3 q=1801 k=2 g=11 h=4 R20=0 APRCL main test (2 70) done: p=3 q=3301 k=1 g=6 h=0 R20=2 APRCL main test (2 72) done: p=3 q=4201 k=1 g=11 h=1 R20=1 APRCL main test (2 73) done: p=3 q=4951 k=2 g=6 h=2 R20=0 APRCL main test (2 74) done: p=3 q=6301 k=2 g=10 h=1 R20=0 APRCL main test (2 75) done: p=3 q=9901 k=2 g=2 h=1 R20=0 APRCL main test (2 76) done: p=3 q=11551 k=1 g=7 h=1 R20=1 APRCL main test (2 77) done: p=3 q=12601 k=2 g=11 h=2 R20=0 APRCL main test (2 78) done: p=3 q=14851 k=3 g=2 h=12 R20=60781605888796587836 APRCL main test (2 80) done: p=3 q=19801 k=2 g=13 h=4 R20=0 APRCL main test (2 81) done: p=3 q=34651 k=2 g=2 h=4 R20=0 APRCL main test (2 82) done: p=3 q=92401 k=1 g=34 h=1 R20=1 APRCL main test (2 83) done: p=3 q=103951 k=3 g=6 h=8 R20=75339795010191972128 APRCL main test (2 84) done: p=3 q=118801 k=3 g=17 h=9 R20=35274642103268803552 Parameters saved: 2 21621600 2 85 1 8 2039 APRCL main test (2 85) done: p=3 q=415801 k=3 g=31 h=17 R20=45707322457679621258 APRCL main test (2 86) done: p=3 q=97 k=1 g=5 h=0 R20=2 APRCL main test (2 88) done: p=3 q=673 k=1 g=5 h=1 R20=1 APRCL main test (2 89) done: p=3 q=2017 k=2 g=5 h=6 R20=21212121212121212114 APRCL main test (2 90) done: p=3 q=3169 k=2 g=7 h=5 R20=0 APRCL main test (2 91) done: p=3 q=3361 k=1 g=22 h=1 R20=1 APRCL main test (2 92) done: p=3 q=5281 k=1 g=7 h=1 R20=1 APRCL main test (2 93) done: p=3 q=7393 k=1 g=5 h=2 R20=21212121212121212118 APRCL main test (2 94) done: p=3 q=21601 k=3 g=7 h=20 R20=83467971758711830283 APRCL main test (2 95) done: p=3 q=30241 k=3 g=11 h=10 R20=74093486371523637622 APRCL main test (2 96) done: p=3 q=47521 k=3 g=17 h=0 R20=41790433131434538023 APRCL main test (2 97) done: p=3 q=66529 k=3 g=19 h=11 R20=55655431469720635948 Parameters saved: 2 21621600 2 98 1 9 1821 APRCL main test (2 98) done: p=3 q=79201 k=2 g=13 h=2 R20=0 APRCL main test (2 99) done: p=3 q=110881 k=2 g=69 h=5 R20=0 APRCL main test (2 100) done: p=3 q=151201 k=3 g=17 h=13 R20=76677950017567873644 APRCL main test (2 101) done: p=3 q=332641 k=3 g=19 h=13 R20=71659102851727452383 APRCL main test (2 103) done: p=3 q=79 k=1 g=3 h=2 R20=21212121212121212118 APRCL main test (2 105) done: p=3 q=157 k=1 g=5 h=2 R20=21212121212121212118 APRCL main test (2 106) done: p=3 q=313 k=1 g=10 h=2 R20=21212121212121212118 APRCL main test (2 108) done: p=3 q=547 k=1 g=2 h=2 R20=21212121212121212118 APRCL main test (2 109) done: p=3 q=859 k=1 g=2 h=2 R20=21212121212121212118 APRCL main test (2 111) done: p=3 q=937 k=2 g=5 h=1 R20=0 APRCL main test (2 112) done: p=3 q=1093 k=1 g=5 h=2 R20=21212121212121212118 APRCL main test (2 113) done: p=3 q=1171 k=2 g=2 h=5 R20=0 APRCL main test (2 114) done: p=3 q=1249 k=1 g=7 h=0 R20=2 APRCL main test (2 116) done: p=3 q=1873 k=2 g=10 h=5 R20=0 APRCL main test (2 117) done: p=3 q=1951 k=1 g=3 h=2 R20=21212121212121212118 APRCL main test (2 120) done: p=3 q=2341 k=2 g=7 h=0 R20=6 APRCL main test (2 121) done: p=3 q=2731 k=1 g=3 h=0 R20=2 APRCL main test (2 123) done: p=3 q=3121 k=1 g=7 h=2 R20=21212121212121212118 APRCL main test (2 124) done: p=3 q=3433 k=1 g=5 h=0 R20=2 APRCL main test (2 125) done: p=3 q=3511 k=3 g=7 h=5 R20=93898450798063515543 APRCL main test (2 126) done: p=3 q=5851 k=2 g=2 h=0 R20=6 APRCL main test (2 127) done: p=3 q=6007 k=1 g=3 h=0 R20=2 APRCL main test (2 128) done: p=3 q=6553 k=2 g=10 h=0 R20=6 APRCL main test (2 130) done: p=3 q=7723 k=3 g=3 h=8 R20=1705062784828641547 APRCL main test (2 132) done: p=3 q=8191 k=2 g=17 h=8 R20=0 APRCL main test (2 133) done: p=3 q=8581 k=1 g=6 h=0 R20=2 APRCL main test (2 134) done: p=3 q=8737 k=1 g=5 h=0 R20=2 APRCL main test (2 135) done: p=3 q=9829 k=3 g=10 h=17 R20=78680875308249628644 Parameters saved: 2 21621600 2 136 1 10 2019 APRCL main test (2 136) done: p=3 q=11701 k=2 g=6 h=3 R20=1 APRCL main test (2 137) done: p=3 q=13729 k=1 g=23 h=0 R20=2 APRCL main test (2 139) done: p=3 q=15601 k=1 g=23 h=1 R20=1 APRCL main test (2 140) done: p=3 q=16381 k=2 g=2 h=3 R20=1 APRCL main test (2 141) done: p=3 q=17551 k=3 g=3 h=17 R20=1901356255121540126 APRCL main test (2 143) done: p=3 q=20593 k=2 g=5 h=8 R20=0 APRCL main test (2 144) done: p=3 q=21841 k=1 g=11 h=1 R20=1 APRCL main test (2 145) done: p=3 q=24571 k=3 g=7 h=5 R20=32306727709313975185 APRCL main test (2 146) done: p=3 q=25741 k=2 g=6 h=2 R20=0 APRCL main test (2 147) done: p=3 q=26209 k=2 g=11 h=7 R20=0 APRCL main test (2 148) done: p=3 q=28081 k=3 g=19 h=4 R20=40490627123792282472 APRCL main test (2 149) done: p=3 q=36037 k=2 g=2 h=8 R20=0 APRCL main test (2 150) done: p=3 q=38611 k=3 g=3 h=3 R20=65181263444855226660 APRCL main test (2 151) done: p=3 q=39313 k=3 g=10 h=16 R20=30696394313432751299 Parameters saved: 2 21621600 2 152 1 11 1935 APRCL main test (2 152) done: p=3 q=42901 k=1 g=6 h=2 R20=21212121212121212118 APRCL main test (2 153) done: p=3 q=48049 k=1 g=17 h=2 R20=21212121212121212118 APRCL main test (2 155) done: p=3 q=51481 k=2 g=17 h=0 R20=6 APRCL main test (2 156) done: p=3 q=54601 k=1 g=22 h=0 R20=2 APRCL main test (2 157) done: p=3 q=65521 k=2 g=17 h=2 R20=0 APRCL main test (2 158) done: p=3 q=70201 k=3 g=14 h=2 R20=76180713968343818718 APRCL main test (2 159) done: p=3 q=72073 k=2 g=5 h=1 R20=0 APRCL main test (2 160) done: p=3 q=81901 k=2 g=2 h=1 R20=0 APRCL main test (2 161) done: p=3 q=93601 k=2 g=22 h=2 R20=0 APRCL main test (2 162) done: p=3 q=96097 k=1 g=5 h=0 R20=2 APRCL tests for p=3 completed APRCL main test (3) at level 11 for p=5 APRCL L_5 condition satisfied APRCL main test (3 6) done: p=5 q=11 k=1 g=2 h=1 R20=1 APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=3 R20=1 APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=1 R20=1 APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=3 R20=1 APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=3 R20=1 APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=3 R20=1 APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=3 R20=1 APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=4 R20=21212121212121212114 APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=2 R20=1 APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=1 R20=1 APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=1 R20=1 APRCL main test (3 25) done: p=5 q=241 k=1 g=7 h=2 R20=1 APRCL main test (3 29) done: p=5 q=271 k=1 g=6 h=0 R20=4 APRCL main test (3 32) done: p=5 q=541 k=1 g=2 h=4 R20=21212121212121212114 APRCL main test (3 34) done: p=5 q=2161 k=1 g=23 h=0 R20=4 APRCL main test (3 35) done: p=5 q=7561 k=1 g=13 h=2 R20=1 APRCL main test (3 36) done: p=5 q=15121 k=1 g=11 h=4 R20=21212121212121212114 APRCL main test (3 41) done: p=5 q=331 k=1 g=3 h=2 R20=1 APRCL main test (3 45) done: p=5 q=661 k=1 g=2 h=0 R20=4 APRCL main test (3 46) done: p=5 q=881 k=1 g=3 h=4 R20=21212121212121212114 APRCL main test (3 47) done: p=5 q=991 k=1 g=6 h=2 R20=1 APRCL main test (3 48) done: p=5 q=1321 k=1 g=13 h=1 R20=1 APRCL main test (3 49) done: p=5 q=2311 k=1 g=3 h=3 R20=1 APRCL main test (3 51) done: p=5 q=2971 k=1 g=10 h=0 R20=4 APRCL main test (3 54) done: p=5 q=4621 k=1 g=2 h=1 R20=1 APRCL main test (3 56) done: p=5 q=9241 k=1 g=13 h=1 R20=1 APRCL main test (3 58) done: p=5 q=18481 k=1 g=13 h=2 R20=1 APRCL main test (3 59) done: p=5 q=23761 k=1 g=7 h=1 R20=1 APRCL main test (3 60) done: p=5 q=55441 k=1 g=38 h=4 R20=21212121212121212114 APRCL main test (3 61) done: p=5 q=101 k=2 g=2 h=19 R20=27831058625893896428 APRCL main test (3 62) done: p=5 q=151 k=2 g=6 h=8 R20=71162930709405990516 APRCL main test (3 63) done: p=5 q=401 k=2 g=3 h=13 R20=18192815924752542504 Parameters saved: 2 21621600 3 64 1 12 2068 APRCL main test (3 64) done: p=5 q=601 k=2 g=7 h=6 R20=81428409127898179229 APRCL main test (3 65) done: p=5 q=701 k=2 g=2 h=3 R20=28260556453207166068 APRCL main test (3 66) done: p=5 q=1051 k=2 g=7 h=13 R20=46794178090179787737 APRCL main test (3 67) done: p=5 q=1201 k=2 g=11 h=2 R20=85140973854875236257 APRCL main test (3 68) done: p=5 q=1801 k=2 g=11 h=19 R20=23968569755345748026 Parameters saved: 2 21621600 3 69 1 13 2006 APRCL main test (3 69) done: p=5 q=2801 k=2 g=3 h=9 R20=97031170223281287385 APRCL main test (3 70) done: p=5 q=3301 k=2 g=6 h=10 R20=67468209974514206954 APRCL main test (3 71) done: p=5 q=3851 k=2 g=2 h=9 R20=68341913450366003357 APRCL main test (3 72) done: p=5 q=4201 k=2 g=11 h=17 R20=69210452402492082698 APRCL main test (3 73) done: p=5 q=4951 k=2 g=6 h=17 R20=50926180357943805695 Parameters saved: 2 21621600 3 74 1 14 1998 APRCL main test (3 74) done: p=5 q=6301 k=2 g=10 h=10 R20=49405973245577826557 APRCL main test (3 75) done: p=5 q=9901 k=2 g=2 h=17 R20=69452325003174499513 APRCL main test (3 76) done: p=5 q=11551 k=2 g=7 h=4 R20=13963815452254578799 APRCL main test (3 77) done: p=5 q=12601 k=2 g=11 h=14 R20=16362564314610182647 APRCL main test (3 78) done: p=5 q=14851 k=2 g=2 h=11 R20=90996514592647489410 Parameters saved: 2 21621600 3 79 1 15 2112 APRCL main test (3 79) done: p=5 q=15401 k=2 g=6 h=13 R20=95748620140613592886 APRCL main test (3 80) done: p=5 q=19801 k=2 g=13 h=23 R20=98759812653229319408 APRCL main test (3 81) done: p=5 q=34651 k=2 g=2 h=4 R20=28150821997769110776 APRCL main test (3 82) done: p=5 q=92401 k=2 g=34 h=8 R20=5829948651018269578 APRCL main test (3 83) done: p=5 q=103951 k=2 g=6 h=10 R20=5854005701398676038 Parameters saved: 2 21621600 3 84 1 16 2041 APRCL main test (3 84) done: p=5 q=118801 k=2 g=17 h=7 R20=40141603872501153520 APRCL main test (3 85) done: p=5 q=415801 k=2 g=31 h=20 R20=10110208239701691553 APRCL main test (3 91) done: p=5 q=3361 k=1 g=22 h=3 R20=1 APRCL main test (3 92) done: p=5 q=5281 k=1 g=7 h=1 R20=1 APRCL main test (3 94) done: p=5 q=21601 k=2 g=7 h=10 R20=79037588922701745057 APRCL main test (3 95) done: p=5 q=30241 k=1 g=11 h=0 R20=4 APRCL main test (3 96) done: p=5 q=47521 k=1 g=17 h=1 R20=1 APRCL main test (3 98) done: p=5 q=79201 k=2 g=13 h=2 R20=93047956967966707838 APRCL main test (3 99) done: p=5 q=110881 k=1 g=69 h=1 R20=1 APRCL main test (3 100) done: p=5 q=151201 k=2 g=17 h=0 R20=34924147080830000748 Parameters saved: 2 21621600 3 101 1 17 2187 APRCL main test (3 101) done: p=5 q=332641 k=1 g=19 h=4 R20=21212121212121212114 APRCL main test (3 104) done: p=5 q=131 k=1 g=2 h=4 R20=21212121212121212114 APRCL main test (3 107) done: p=5 q=521 k=1 g=3 h=1 R20=1 APRCL main test (3 110) done: p=5 q=911 k=1 g=17 h=4 R20=21212121212121212114 APRCL main test (3 113) done: p=5 q=1171 k=1 g=2 h=0 R20=4 APRCL main test (3 115) done: p=5 q=1301 k=2 g=2 h=15 R20=94767573660054371242 APRCL main test (3 117) done: p=5 q=1951 k=2 g=3 h=11 R20=67481812753900701385 APRCL main test (3 119) done: p=5 q=2081 k=1 g=3 h=4 R20=21212121212121212114 APRCL main test (3 120) done: p=5 q=2341 k=1 g=7 h=2 R20=1 APRCL main test (3 121) done: p=5 q=2731 k=1 g=3 h=0 R20=4 APRCL main test (3 122) done: p=5 q=2861 k=1 g=2 h=4 R20=21212121212121212114 APRCL main test (3 123) done: p=5 q=3121 k=1 g=7 h=4 R20=21212121212121212114 APRCL main test (3 125) done: p=5 q=3511 k=1 g=7 h=0 R20=4 APRCL main test (3 126) done: p=5 q=5851 k=2 g=2 h=14 R20=91219656116791607527 APRCL main test (3 129) done: p=5 q=7151 k=2 g=7 h=8 R20=89812011875061819674 APRCL main test (3 132) done: p=5 q=8191 k=1 g=17 h=0 R20=4 APRCL main test (3 133) done: p=5 q=8581 k=1 g=6 h=0 R20=4 APRCL main test (3 136) done: p=5 q=11701 k=2 g=6 h=7 R20=56349395556345838976 Parameters saved: 2 21621600 3 138 1 18 2159 APRCL main test (3 138) done: p=5 q=14561 k=1 g=6 h=1 R20=1 APRCL main test (3 139) done: p=5 q=15601 k=2 g=23 h=6 R20=28588850193837695648 APRCL main test (3 140) done: p=5 q=16381 k=1 g=2 h=1 R20=1 APRCL main test (3 141) done: p=5 q=17551 k=2 g=3 h=5 R20=8963079059529337471 APRCL main test (3 142) done: p=5 q=20021 k=1 g=3 h=0 R20=4 APRCL main test (3 144) done: p=5 q=21841 k=1 g=11 h=0 R20=4 APRCL main test (3 145) done: p=5 q=24571 k=1 g=7 h=1 R20=1 APRCL main test (3 146) done: p=5 q=25741 k=1 g=6 h=2 R20=1 APRCL main test (3 148) done: p=5 q=28081 k=1 g=19 h=1 R20=1 APRCL main test (3 150) done: p=5 q=38611 k=1 g=3 h=1 R20=1 APRCL main test (3 152) done: p=5 q=42901 k=2 g=6 h=24 R20=55439826537278199198 APRCL main test (3 154) done: p=5 q=50051 k=2 g=2 h=23 R20=72289716624937377972 APRCL main test (3 155) done: p=5 q=51481 k=1 g=17 h=4 R20=21212121212121212114 APRCL main test (3 156) done: p=5 q=54601 k=2 g=22 h=16 R20=8459056118192855147 Parameters saved: 2 21621600 3 157 1 19 2181 APRCL main test (3 157) done: p=5 q=65521 k=1 g=17 h=2 R20=1 APRCL main test (3 158) done: p=5 q=70201 k=2 g=14 h=2 R20=84086784715440120590 APRCL main test (3 160) done: p=5 q=81901 k=2 g=2 h=23 R20=74192073539485733962 APRCL main test (3 161) done: p=5 q=93601 k=2 g=22 h=13 R20=71100364098600328952 APRCL tests for p=5 completed APRCL main test (4) at level 11 for p=7 APRCL L_7 condition satisfied APRCL main test (4 12) done: p=7 q=29 k=1 g=2 h=4 R20=1 APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=0 R20=6 APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=0 R20=6 APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=4 R20=1 APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=1 R20=1 APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=6 R20=21212121212121212110 APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=0 R20=6 APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=2 R20=1 APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=5 R20=1 APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=0 R20=6 APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=4 R20=1 APRCL main test (4 27) done: p=7 q=1009 k=1 g=11 h=0 R20=6 APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=5 R20=1 APRCL main test (4 33) done: p=7 q=757 k=1 g=2 h=5 R20=1 APRCL main test (4 35) done: p=7 q=7561 k=1 g=13 h=1 R20=1 Parameters saved: 2 21621600 4 36 1 20 1819 APRCL main test (4 36) done: p=7 q=15121 k=1 g=11 h=5 R20=1 APRCL main test (4 43) done: p=7 q=463 k=1 g=3 h=3 R20=1 APRCL main test (4 44) done: p=7 q=617 k=1 g=3 h=3 R20=1 APRCL main test (4 49) done: p=7 q=2311 k=1 g=3 h=0 R20=6 APRCL main test (4 52) done: p=7 q=3697 k=1 g=5 h=1 R20=1 APRCL main test (4 53) done: p=7 q=4159 k=1 g=3 h=3 R20=1 APRCL main test (4 54) done: p=7 q=4621 k=1 g=2 h=6 R20=21212121212121212110 APRCL main test (4 55) done: p=7 q=8317 k=1 g=6 h=3 R20=1 APRCL main test (4 56) done: p=7 q=9241 k=1 g=13 h=6 R20=21212121212121212110 APRCL main test (4 57) done: p=7 q=16633 k=1 g=15 h=5 R20=1 APRCL main test (4 58) done: p=7 q=18481 k=1 g=13 h=5 R20=1 APRCL main test (4 60) done: p=7 q=55441 k=1 g=38 h=3 R20=1 APRCL main test (4 65) done: p=7 q=701 k=1 g=2 h=4 R20=1 APRCL main test (4 66) done: p=7 q=1051 k=1 g=7 h=1 R20=1 APRCL main test (4 69) done: p=7 q=2801 k=1 g=3 h=5 R20=1 APRCL main test (4 71) done: p=7 q=3851 k=1 g=2 h=3 R20=1 APRCL main test (4 72) done: p=7 q=4201 k=1 g=11 h=2 R20=1 APRCL main test (4 74) done: p=7 q=6301 k=1 g=10 h=5 R20=1 APRCL main test (4 76) done: p=7 q=11551 k=1 g=7 h=3 R20=1 APRCL main test (4 77) done: p=7 q=12601 k=1 g=11 h=2 R20=1 APRCL main test (4 79) done: p=7 q=15401 k=1 g=6 h=1 R20=1 APRCL main test (4 81) done: p=7 q=34651 k=1 g=2 h=2 R20=1 APRCL main test (4 82) done: p=7 q=92401 k=1 g=34 h=2 R20=1 APRCL main test (4 83) done: p=7 q=103951 k=1 g=6 h=4 R20=1 APRCL main test (4 85) done: p=7 q=415801 k=1 g=31 h=3 R20=1 APRCL main test (4 88) done: p=7 q=673 k=1 g=5 h=0 R20=6 APRCL main test (4 89) done: p=7 q=2017 k=1 g=5 h=0 R20=6 APRCL main test (4 91) done: p=7 q=3361 k=1 g=22 h=3 R20=1 APRCL main test (4 93) done: p=7 q=7393 k=1 g=5 h=1 R20=1 APRCL main test (4 95) done: p=7 q=30241 k=1 g=11 h=3 R20=1 APRCL main test (4 97) done: p=7 q=66529 k=1 g=19 h=2 R20=1 APRCL main test (4 99) done: p=7 q=110881 k=1 g=69 h=1 R20=1 APRCL main test (4 100) done: p=7 q=151201 k=1 g=17 h=3 R20=1 APRCL main test (4 101) done: p=7 q=332641 k=1 g=19 h=0 R20=6 APRCL main test (4 108) done: p=7 q=547 k=1 g=2 h=6 R20=21212121212121212110 APRCL main test (4 110) done: p=7 q=911 k=1 g=17 h=0 R20=6 APRCL main test (4 112) done: p=7 q=1093 k=1 g=5 h=0 R20=6 APRCL main test (4 118) done: p=7 q=2003 k=1 g=5 h=4 R20=1 APRCL main test (4 121) done: p=7 q=2731 k=1 g=3 h=2 R20=1 APRCL main test (4 127) done: p=7 q=6007 k=1 g=3 h=2 R20=1 APRCL main test (4 128) done: p=7 q=6553 k=1 g=10 h=6 R20=21212121212121212110 APRCL main test (4 131) done: p=7 q=8009 k=1 g=3 h=1 R20=1 APRCL main test (4 132) done: p=7 q=8191 k=1 g=17 h=6 R20=21212121212121212110 APRCL main test (4 134) done: p=7 q=8737 k=1 g=5 h=4 R20=1 APRCL main test (4 135) done: p=7 q=9829 k=1 g=10 h=4 R20=1 APRCL main test (4 138) done: p=7 q=14561 k=1 g=6 h=1 R20=1 APRCL main test (4 140) done: p=7 q=16381 k=1 g=2 h=5 R20=1 APRCL main test (4 142) done: p=7 q=20021 k=1 g=3 h=0 R20=6 APRCL main test (4 144) done: p=7 q=21841 k=1 g=11 h=4 R20=1 APRCL main test (4 145) done: p=7 q=24571 k=1 g=7 h=5 R20=1 APRCL main test (4 147) done: p=7 q=26209 k=1 g=11 h=1 R20=1 APRCL main test (4 149) done: p=7 q=36037 k=1 g=2 h=3 R20=1 APRCL main test (4 151) done: p=7 q=39313 k=1 g=10 h=6 R20=21212121212121212110 APRCL main test (4 153) done: p=7 q=48049 k=1 g=17 h=6 R20=21212121212121212110 APRCL main test (4 154) done: p=7 q=50051 k=1 g=2 h=2 R20=1 APRCL main test (4 156) done: p=7 q=54601 k=1 g=22 h=2 R20=1 APRCL main test (4 157) done: p=7 q=65521 k=1 g=17 h=2 R20=1 APRCL main test (4 159) done: p=7 q=72073 k=1 g=5 h=1 R20=1 APRCL main test (4 160) done: p=7 q=81901 k=1 g=2 h=2 R20=1 Parameters saved: 2 21621600 4 162 1 21 1817 APRCL main test (4 162) done: p=7 q=96097 k=1 g=5 h=2 R20=1 APRCL tests for p=7 completed APRCL main test (5) at level 11 for p=11 APRCL L_11 condition satisfied APRCL main test (5 37) done: p=11 q=23 k=1 g=5 h=8 R20=32138863172505195600 APRCL main test (5 38) done: p=11 q=67 k=1 g=2 h=1 R20=85308095086458664391 APRCL main test (5 39) done: p=11 q=89 k=1 g=3 h=4 R20=52409142266005587476 APRCL main test (5 40) done: p=11 q=199 k=1 g=3 h=6 R20=7812949184145425430 APRCL main test (5 41) done: p=11 q=331 k=1 g=3 h=3 R20=15725089881144071873 APRCL main test (5 42) done: p=11 q=397 k=1 g=5 h=4 R20=1744083544746290722 APRCL main test (5 43) done: p=11 q=463 k=1 g=3 h=9 R20=9353882304956327752 APRCL main test (5 44) done: p=11 q=617 k=1 g=3 h=9 R20=55850950716619214551 APRCL main test (5 45) done: p=11 q=661 k=1 g=2 h=5 R20=53114317448355131960 APRCL main test (5 46) done: p=11 q=881 k=1 g=3 h=9 R20=79720318718289592388 APRCL main test (5 47) done: p=11 q=991 k=1 g=6 h=10 R20=59716112271305066742 APRCL main test (5 48) done: p=11 q=1321 k=1 g=13 h=10 R20=36486184532686093500 APRCL main test (5 49) done: p=11 q=2311 k=1 g=3 h=3 R20=32434431525532238696 APRCL main test (5 50) done: p=11 q=2377 k=1 g=5 h=5 R20=91934032518344782735 APRCL main test (5 51) done: p=11 q=2971 k=1 g=10 h=9 R20=15523053838653881112 APRCL main test (5 52) done: p=11 q=3697 k=1 g=5 h=1 R20=18867315892064838221 APRCL main test (5 53) done: p=11 q=4159 k=1 g=3 h=6 R20=84329216962502368869 APRCL main test (5 54) done: p=11 q=4621 k=1 g=2 h=5 R20=61428196136213720496 APRCL main test (5 55) done: p=11 q=8317 k=1 g=6 h=4 R20=3849763270258039773 Parameters saved: 2 21621600 5 56 1 22 1836 APRCL main test (5 56) done: p=11 q=9241 k=1 g=13 h=3 R20=70038547295386317037 APRCL main test (5 57) done: p=11 q=16633 k=1 g=15 h=9 R20=81499790840561737012 APRCL main test (5 58) done: p=11 q=18481 k=1 g=13 h=4 R20=3316025564892768153 APRCL main test (5 59) done: p=11 q=23761 k=1 g=7 h=9 R20=95926068478421387330 APRCL main test (5 60) done: p=11 q=55441 k=1 g=38 h=2 R20=96566888273391108329 APRCL main test (5 70) done: p=11 q=3301 k=1 g=6 h=5 R20=98432854092494136089 APRCL main test (5 71) done: p=11 q=3851 k=1 g=2 h=3 R20=22270911698877497761 APRCL main test (5 73) done: p=11 q=4951 k=1 g=6 h=0 R20=87437014448625098834 APRCL main test (5 75) done: p=11 q=9901 k=1 g=2 h=9 R20=48909505951647376286 APRCL main test (5 76) done: p=11 q=11551 k=1 g=7 h=8 R20=86320312115309222662 APRCL main test (5 78) done: p=11 q=14851 k=1 g=2 h=3 R20=83327925907382835 APRCL main test (5 79) done: p=11 q=15401 k=1 g=6 h=8 R20=81166555151086360204 APRCL main test (5 80) done: p=11 q=19801 k=1 g=13 h=8 R20=80267211054791007940 APRCL main test (5 81) done: p=11 q=34651 k=1 g=2 h=5 R20=48156352694631051221 APRCL main test (5 82) done: p=11 q=92401 k=1 g=34 h=2 R20=81336868690448223113 APRCL main test (5 83) done: p=11 q=103951 k=1 g=6 h=7 R20=17692649252461474474 APRCL main test (5 84) done: p=11 q=118801 k=1 g=17 h=7 R20=68482135102449090576 APRCL main test (5 85) done: p=11 q=415801 k=1 g=31 h=10 R20=41692002367571891901 APRCL main test (5 87) done: p=11 q=353 k=1 g=3 h=6 R20=39941889673746832632 APRCL main test (5 90) done: p=11 q=3169 k=1 g=7 h=1 R20=77906658617307044355 APRCL main test (5 92) done: p=11 q=5281 k=1 g=7 h=1 R20=53614381506886061844 Parameters saved: 2 21621600 5 93 1 23 1854 APRCL main test (5 93) done: p=11 q=7393 k=1 g=5 h=0 R20=4313336113243294705 APRCL main test (5 96) done: p=11 q=47521 k=1 g=17 h=10 R20=73813566937398290595 APRCL main test (5 97) done: p=11 q=66529 k=1 g=19 h=8 R20=38166350503335582261 APRCL main test (5 98) done: p=11 q=79201 k=1 g=13 h=0 R20=10016283457639841436 APRCL main test (5 99) done: p=11 q=110881 k=1 g=69 h=1 R20=8419750558572335513 APRCL main test (5 101) done: p=11 q=332641 k=1 g=19 h=7 R20=16363367606365770210 APRCL main test (5 109) done: p=11 q=859 k=1 g=2 h=10 R20=79572783977204290342 APRCL main test (5 118) done: p=11 q=2003 k=1 g=5 h=8 R20=71635688806285809628 APRCL main test (5 122) done: p=11 q=2861 k=1 g=2 h=9 R20=43512355223224855588 APRCL main test (5 124) done: p=11 q=3433 k=1 g=5 h=4 R20=11325020430727388125 APRCL main test (5 127) done: p=11 q=6007 k=1 g=3 h=2 R20=48968974879727713029 APRCL main test (5 129) done: p=11 q=7151 k=1 g=7 h=9 R20=36371105476741015560 APRCL main test (5 130) done: p=11 q=7723 k=1 g=3 h=8 R20=91803535693636212763 APRCL main test (5 131) done: p=11 q=8009 k=1 g=3 h=5 R20=89033853979146131604 APRCL main test (5 133) done: p=11 q=8581 k=1 g=6 h=9 R20=58876439529131434242 APRCL main test (5 137) done: p=11 q=13729 k=1 g=23 h=7 R20=323680335604097113 APRCL main test (5 142) done: p=11 q=20021 k=1 g=3 h=8 R20=70233030850359358261 APRCL main test (5 143) done: p=11 q=20593 k=1 g=5 h=3 R20=54623518722567422678 APRCL main test (5 146) done: p=11 q=25741 k=1 g=6 h=9 R20=4012236521995961239 APRCL main test (5 149) done: p=11 q=36037 k=1 g=2 h=3 R20=54987324797689835641 APRCL main test (5 150) done: p=11 q=38611 k=1 g=3 h=1 R20=84201937725454131946 Parameters saved: 2 21621600 5 152 1 24 1863 APRCL main test (5 152) done: p=11 q=42901 k=1 g=6 h=6 R20=20799115248872935583 APRCL main test (5 153) done: p=11 q=48049 k=1 g=17 h=9 R20=565050981075114906 APRCL main test (5 154) done: p=11 q=50051 k=1 g=2 h=8 R20=86626465551360165721 APRCL main test (5 155) done: p=11 q=51481 k=1 g=17 h=1 R20=17534911051736516106 APRCL main test (5 159) done: p=11 q=72073 k=1 g=5 h=3 R20=38975796822411689557 APRCL main test (5 162) done: p=11 q=96097 k=1 g=5 h=9 R20=69857270059090517938 APRCL tests for p=11 completed APRCL main test (6) at level 11 for p=13 APRCL L_13 condition satisfied APRCL main test (6 102) done: p=13 q=53 k=1 g=2 h=0 R20=12 APRCL main test (6 103) done: p=13 q=79 k=1 g=3 h=2 R20=1 APRCL main test (6 104) done: p=13 q=131 k=1 g=2 h=6 R20=1 APRCL main test (6 105) done: p=13 q=157 k=1 g=5 h=3 R20=1 APRCL main test (6 106) done: p=13 q=313 k=1 g=10 h=6 R20=1 APRCL main test (6 107) done: p=13 q=521 k=1 g=3 h=12 R20=21212121212121212098 APRCL main test (6 108) done: p=13 q=547 k=1 g=2 h=10 R20=1 APRCL main test (6 109) done: p=13 q=859 k=1 g=2 h=6 R20=1 APRCL main test (6 110) done: p=13 q=911 k=1 g=17 h=0 R20=12 APRCL main test (6 111) done: p=13 q=937 k=1 g=5 h=10 R20=1 APRCL main test (6 112) done: p=13 q=1093 k=1 g=5 h=12 R20=21212121212121212098 Parameters saved: 2 21621600 6 113 1 25 1822 APRCL main test (6 113) done: p=13 q=1171 k=1 g=2 h=3 R20=1 APRCL main test (6 114) done: p=13 q=1249 k=1 g=7 h=11 R20=1 APRCL main test (6 115) done: p=13 q=1301 k=1 g=2 h=11 R20=1 APRCL main test (6 116) done: p=13 q=1873 k=1 g=10 h=5 R20=1 APRCL main test (6 117) done: p=13 q=1951 k=1 g=3 h=6 R20=1 APRCL main test (6 118) done: p=13 q=2003 k=1 g=5 h=7 R20=1 APRCL main test (6 119) done: p=13 q=2081 k=1 g=3 h=8 R20=1 APRCL main test (6 120) done: p=13 q=2341 k=1 g=7 h=7 R20=1 APRCL main test (6 121) done: p=13 q=2731 k=1 g=3 h=11 R20=1 APRCL main test (6 122) done: p=13 q=2861 k=1 g=2 h=7 R20=1 APRCL main test (6 123) done: p=13 q=3121 k=1 g=7 h=3 R20=1 APRCL main test (6 124) done: p=13 q=3433 k=1 g=5 h=10 R20=1 APRCL main test (6 125) done: p=13 q=3511 k=1 g=7 h=1 R20=1 APRCL main test (6 126) done: p=13 q=5851 k=1 g=2 h=1 R20=1 APRCL main test (6 127) done: p=13 q=6007 k=1 g=3 h=8 R20=1 APRCL main test (6 128) done: p=13 q=6553 k=1 g=10 h=11 R20=1 Parameters saved: 2 21621600 6 129 1 26 1805 APRCL main test (6 129) done: p=13 q=7151 k=1 g=7 h=9 R20=1 APRCL main test (6 130) done: p=13 q=7723 k=1 g=3 h=6 R20=1 APRCL main test (6 131) done: p=13 q=8009 k=1 g=3 h=2 R20=1 APRCL main test (6 132) done: p=13 q=8191 k=1 g=17 h=11 R20=1 APRCL main test (6 133) done: p=13 q=8581 k=1 g=6 h=3 R20=1 APRCL main test (6 134) done: p=13 q=8737 k=1 g=5 h=5 R20=1 APRCL main test (6 135) done: p=13 q=9829 k=1 g=10 h=4 R20=1 APRCL main test (6 136) done: p=13 q=11701 k=1 g=6 h=0 R20=12 APRCL main test (6 137) done: p=13 q=13729 k=1 g=23 h=5 R20=1 APRCL main test (6 138) done: p=13 q=14561 k=1 g=6 h=1 R20=1 APRCL main test (6 139) done: p=13 q=15601 k=1 g=23 h=7 R20=1 APRCL main test (6 140) done: p=13 q=16381 k=1 g=2 h=12 R20=21212121212121212098 APRCL main test (6 141) done: p=13 q=17551 k=1 g=3 h=11 R20=1 APRCL main test (6 142) done: p=13 q=20021 k=1 g=3 h=2 R20=1 Parameters saved: 2 21621600 6 143 1 27 1915 APRCL main test (6 143) done: p=13 q=20593 k=1 g=5 h=7 R20=1 APRCL main test (6 144) done: p=13 q=21841 k=1 g=11 h=10 R20=1 APRCL main test (6 145) done: p=13 q=24571 k=1 g=7 h=6 R20=1 APRCL main test (6 146) done: p=13 q=25741 k=1 g=6 h=12 R20=21212121212121212098 APRCL main test (6 147) done: p=13 q=26209 k=1 g=11 h=3 R20=1 APRCL main test (6 148) done: p=13 q=28081 k=1 g=19 h=12 R20=21212121212121212098 APRCL main test (6 149) done: p=13 q=36037 k=1 g=2 h=5 R20=1 APRCL main test (6 150) done: p=13 q=38611 k=1 g=3 h=11 R20=1 APRCL main test (6 151) done: p=13 q=39313 k=1 g=10 h=7 R20=1 APRCL main test (6 152) done: p=13 q=42901 k=1 g=6 h=7 R20=1 APRCL main test (6 153) done: p=13 q=48049 k=1 g=17 h=3 R20=1 APRCL main test (6 154) done: p=13 q=50051 k=1 g=2 h=0 R20=12 APRCL main test (6 155) done: p=13 q=51481 k=1 g=17 h=0 R20=12 APRCL main test (6 156) done: p=13 q=54601 k=1 g=22 h=4 R20=1 APRCL main test (6 157) done: p=13 q=65521 k=1 g=17 h=0 R20=12 Parameters saved: 2 21621600 6 158 1 28 1864 APRCL main test (6 158) done: p=13 q=70201 k=1 g=14 h=8 R20=1 APRCL main test (6 159) done: p=13 q=72073 k=1 g=5 h=7 R20=1 APRCL main test (6 160) done: p=13 q=81901 k=1 g=2 h=2 R20=1 APRCL main test (6 161) done: p=13 q=93601 k=1 g=22 h=12 R20=21212121212121212098 APRCL main test (6 162) done: p=13 q=96097 k=1 g=5 h=12 R20=21212121212121212098 APRCL tests for p=13 completed Main divisor test: F1=0.1176 F2=0.0000 G=0.5019 S=0.3842 T=21621600 G=438289318494748253137227554977677320205014050463121523609338468010079906454554385649066327344890006125533074483967716037233813149573743907532379472723119181809109786986207058806886623072913055820158132426316721773141464997934859098629201190677688562689243926431090558134842759101661849952090522352668489566565691995438264536344321911051210524362974715001411583847801347937489670595294110660764093748114727428647558642358291192085581189718637909713206996136813754524699954656312132943166993194320464742767646988144507709914619094345003904969535300667270029713685301094828152831089917303227723035109064955640968434940113625377115459549998971210151190118444235469457946973017226104553824373363563139166360 Parameters saved: 4 21621600 9428914 0 0 29 1801 Main divisor test passed: 21621600/21621600 *** N is prime! Time: 58375 sec
(12*10^1597-21)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(12*10^1597-21)/99 N=1212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121 Factor: 3^2 divides N - 1 Factor: 37 divides N - 1 Factor: 239 divides N - 1 Factor: 4649 divides N - 1 Factor: 1111111111111111111 divides N - 1 Factor: 43 divides N - 1 Factor: 1933 divides N - 1 Factor: 10838689 divides N - 1 Factor: 21319 divides N - 1 Factor: 10749631 divides N - 1 Factor: 3931123022305129377976519 divides N - 1 Factor: 1597 divides N - 1 Factor: 2021015460335957 divides N - 1 Factor: 278848299862043143754907679390585776516393006235209786029420958416508667488018611321233079 divides N - 1 Factor: 6316969 divides N - 1 Factor: 34282879 divides N - 1 Factor: 1473464802559 divides N - 1 Factor: 7459654752238258604700923083 divides N - 1 Factor: 466313952230246603926673791448620956588757441488886093790565731595829691945775316737317530980650274752343606808745182941168541487395572597274248918286276704888613 divides N - 1 Factor: 7^2 divides N - 1 Factor: 13 divides N - 1 Factor: 909091 divides N - 1 Factor: 909090909090909091 divides N - 1 Factor: 127 divides N - 1 Factor: 2689 divides N - 1 Factor: 459691 divides N - 1 Factor: 1458973 divides N - 1 Factor: 753201806271328462547977919407 divides N - 1 Factor: 247025236977306025681323889 divides N - 1 Factor: 61828645758322140842666144519962696417487 divides N - 1 Factor: 72021403933746126426491665754465510017877 divides N - 1 Factor: 425991366045253 divides N - 1 Factor: 101 divides N - 1 Factor: 9901 divides N - 1 Factor: 29 divides N - 1 Factor: 281 divides N - 1 Factor: 121499449 divides N - 1 Factor: 722817036322379041 divides N - 1 Factor: 1369778187490592461 divides N - 1 Factor: 226549 divides N - 1 Factor: 4458192223320340849 divides N - 1 Factor: 229 divides N - 1 Factor: 2281 divides N - 1 Factor: 4789 divides N - 1 Factor: 304077901 divides N - 1 Factor: 52875286008709 divides N - 1 Factor: 739653893349540289 divides N - 1 Factor: 33950736420661075851541 divides N - 1 Factor: 2129 divides N - 1 Factor: 14691812549 divides N - 1 Factor: 1728095716605342484009 divides N - 1 Factor: 539449 divides N - 1 Factor: 3301756921 divides N - 1 Factor: 2^3 divides N - 1 Factor: 2 divides N + 1 Factorization results: F1=0.4987 F2=0.0002 F1=10925700644214206367199422084622970665483587160340878301188673283805689569353366033435631176064169158402413409888107994947477224289450405225011687003479173226338500145064706728969536747096441930331513169829969202731442946224464210954784044048041589882424580062010818870659434120497678184722352397724193755230964744205320571700239707199481242780552203877704625173343288319664644671847686922627897581322407632689119126966133911248710362667849746172992455032144660049527643763979967299897702157269164174930919923445225338385856109043882928108321646329854160106994833188268626604363796586236891403001820163503364130601890387108869122378549289285291743450908753271322514462673899212835655148610980935609139578102368589128012761633093626133852090552781129455628708159990045013668688661485646410705435752 F2=2 Fail: gcd(11^((N-1)/3) - 1, N) not = 1: R20=0 Pass: gcd(17^((N-1)/3) - 1, N) = 1: R20=94560008840841995934 Pass: 17^(N-1) = 1 (mod N): R20=1 Pass: gcd(17^((N-1)/37) - 1, N) = 1: R20=27927454242901222801 Pass: gcd(17^((N-1)/239) - 1, N) = 1: R20=62994221501046661880 Pass: gcd(17^((N-1)/4649) - 1, N) = 1: R20=64252227742485151884 Pass: gcd(17^((N-1)/1111111111111111111) - 1, N) = 1: R20=67924867922486672538 Pass: gcd(17^((N-1)/43) - 1, N) = 1: R20=31544963116726822644 Pass: gcd(17^((N-1)/1933) - 1, N) = 1: R20=43919608863288033059 Pass: gcd(17^((N-1)/10838689) - 1, N) = 1: R20=14588336757454791332 Pass: gcd(17^((N-1)/21319) - 1, N) = 1: R20=80245869620284910895 Pass: gcd(17^((N-1)/10749631) - 1, N) = 1: R20=11025888767026884642 Pass: gcd(17^((N-1)/3931123022305129377976519) - 1, N) = 1: R20=20969613297654550927 Pass: gcd(17^((N-1)/1597) - 1, N) = 1: R20=55886259294441750245 Pass: gcd(17^((N-1)/2021015460335957) - 1, N) = 1: R20=41320533190174250617 Pass: gcd(17^((N-1)/278848299862043143754907679390585776516393006235209786029420958416508667488018611321233079) - 1, N) = 1: R20=89892822507408347333 Pass: gcd(17^((N-1)/6316969) - 1, N) = 1: R20=320520855051553290 Pass: gcd(17^((N-1)/34282879) - 1, N) = 1: R20=84398383848493436649 Pass: gcd(17^((N-1)/1473464802559) - 1, N) = 1: R20=68245181300327250706 Pass: gcd(17^((N-1)/7459654752238258604700923083) - 1, N) = 1: R20=4371723797578259808 Pass: gcd(17^((N-1)/466313952230246603926673791448620956588757441488886093790565731595829691945775316737317530980650274752343606808745182941168541487395572597274248918286276704888613) - 1, N) = 1: R20=49139163727641025044 Pass: gcd(17^((N-1)/7) - 1, N) = 1: R20=43451123146200293231 Pass: gcd(17^((N-1)/13) - 1, N) = 1: R20=35352063414040518183 Pass: gcd(17^((N-1)/909091) - 1, N) = 1: R20=53703849068688759238 Pass: gcd(17^((N-1)/909090909090909091) - 1, N) = 1: R20=15483146653748420826 Pass: gcd(17^((N-1)/127) - 1, N) = 1: R20=48165916300911318950 Pass: gcd(17^((N-1)/2689) - 1, N) = 1: R20=82684969402258631471 Pass: gcd(17^((N-1)/459691) - 1, N) = 1: R20=57946236232850294359 Pass: gcd(17^((N-1)/1458973) - 1, N) = 1: R20=52458379773443103973 Pass: gcd(17^((N-1)/753201806271328462547977919407) - 1, N) = 1: R20=1072086368610319570 Pass: gcd(17^((N-1)/247025236977306025681323889) - 1, N) = 1: R20=52060770771188129094 Pass: gcd(17^((N-1)/61828645758322140842666144519962696417487) - 1, N) = 1: R20=58371112843880510576 Pass: gcd(17^((N-1)/72021403933746126426491665754465510017877) - 1, N) = 1: R20=10927864798856573123 Pass: gcd(17^((N-1)/425991366045253) - 1, N) = 1: R20=64786380665609701393 Pass: gcd(17^((N-1)/101) - 1, N) = 1: R20=28543773451272041609 Pass: gcd(17^((N-1)/9901) - 1, N) = 1: R20=22197442520212296741 Fail: gcd(17^((N-1)/29) - 1, N) not = 1: R20=0 Pass: gcd(19^((N-1)/29) - 1, N) = 1: R20=43100986623452987672 Pass: 19^(N-1) = 1 (mod N): R20=1 Pass: gcd(19^((N-1)/281) - 1, N) = 1: R20=73472445197112185863 Pass: gcd(19^((N-1)/121499449) - 1, N) = 1: R20=17030908024895215880 Pass: gcd(19^((N-1)/722817036322379041) - 1, N) = 1: R20=64244674647050420890 Pass: gcd(19^((N-1)/1369778187490592461) - 1, N) = 1: R20=48262367052672426873 Pass: gcd(19^((N-1)/226549) - 1, N) = 1: R20=13094297085745667891 Pass: gcd(19^((N-1)/4458192223320340849) - 1, N) = 1: R20=84543719896458361146 Pass: gcd(19^((N-1)/229) - 1, N) = 1: R20=59031385757020366205 Pass: gcd(19^((N-1)/2281) - 1, N) = 1: R20=7726860566594269963 Pass: gcd(19^((N-1)/4789) - 1, N) = 1: R20=50720749065290307763 Pass: gcd(19^((N-1)/304077901) - 1, N) = 1: R20=18935910133958632804 Pass: gcd(19^((N-1)/52875286008709) - 1, N) = 1: R20=62024021423744234145 Pass: gcd(19^((N-1)/739653893349540289) - 1, N) = 1: R20=53700925640907705711 Pass: gcd(19^((N-1)/33950736420661075851541) - 1, N) = 1: R20=85225843243809750735 Pass: gcd(19^((N-1)/2129) - 1, N) = 1: R20=90415689647604428967 Pass: gcd(19^((N-1)/14691812549) - 1, N) = 1: R20=67262699710340368731 Pass: gcd(19^((N-1)/1728095716605342484009) - 1, N) = 1: R20=2687372847516651484 Pass: gcd(19^((N-1)/539449) - 1, N) = 1: R20=10643785566700744600 Pass: gcd(19^((N-1)/3301756921) - 1, N) = 1: R20=77284872190375463784 Pass: gcd(19^((N-1)/2) - 1, N) = 1: R20=21212121212121212119 BLS tests passed: F1=0.4987 F2=0.0002 Main divisor test: F1=0.4987 F2=0.0000 G=0.4987 S=0.0000 T=1 G=10925700644214206367199422084622970665483587160340878301188673283805689569353366033435631176064169158402413409888107994947477224289450405225011687003479173226338500145064706728969536747096441930331513169829969202731442946224464210954784044048041589882424580062010818870659434120497678184722352397724193755230964744205320571700239707199481242780552203877704625173343288319664644671847686922627897581322407632689119126966133911248710362667849746172992455032144660049527643763979967299897702157269164174930919923445225338385856109043882928108321646329854160106994833188268626604363796586236891403001820163503364130601890387108869122378549289285291743450908753271322514462673899212835655148610980935609139578102368589128012761633093626133852090552781129455628708159990045013668688661485646410705435752 Main divisor test passed: 1/1 Final divisor test: F=0.4987 G=0.4987 H=1.4962 t=-1 a=1 Final divisor test passed: 3/3 r=3 i=0 *** N is prime! Time: 82 sec
(12*10^1979-21)/99 == BPI:B262C002A3FC8 ============================================ TITANIX 2.1.0 - Primality Certificate Started 07.04.2001 at 03:16:07 AM Running time 54h 0mn 30s Candidate certified prime ================================================================= This SUPP was first proved prime by Carlos Rivera in 1997 and the prove was verified with Titanix by Hans Rosenthal. The zipped file "121_989.zip" is 359 KB. When unpacked the file "Titanix-B262C002A3FC8-001.out" is 841 KB and is available on demand by simple email request.
(12*10^7809-21)/99 PFGW 1.1 test for probable primality in basis 3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61, and 251 (12*10^7809-21)/99 is 3-PRP! (12.910000 seconds) (12*10^7809-21)/99 is 5-PRP! (12.910000 seconds) (12*10^7809-21)/99 is 7-PRP! (12.960000 seconds) (12*10^7809-21)/99 is 11-PRP! (12.960000 seconds) (12*10^7809-21)/99 is 13-PRP! (12.960000 seconds) (12*10^7809-21)/99 is 17-PRP! (12.900000 seconds) (12*10^7809-21)/99 is 19-PRP! (12.910000 seconds) (12*10^7809-21)/99 is 23-PRP! (12.910000 seconds) (12*10^7809-21)/99 is 29-PRP! (12.960000 seconds) (12*10^7809-21)/99 is 31-PRP! (12.910000 seconds) (12*10^7809-21)/99 is 37-PRP! (12.970000 seconds) (12*10^7809-21)/99 is 41-PRP! (12.960000 seconds) (12*10^7809-21)/99 is 43-PRP! (12.910000 seconds) (12*10^7809-21)/99 is 47-PRP! (12.960000 seconds) (12*10^7809-21)/99 is 53-PRP! (12.960000 seconds) (12*10^7809-21)/99 is 59-PRP! (12.910000 seconds) (12*10^7809-21)/99 is 61-PRP! (12.910000 seconds) (12*10^7809-21)/99 is 251-PRP! (12.960000 seconds)
(12*10^14059-21)/99 PFGW 1.1 test for probable primality in basis 3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61, and 251 (12*10^14059-21)/99 is 3-PRP! (52.400000 seconds) (12*10^14059-21)/99 is 5-PRP! (52.510000 seconds) (12*10^14059-21)/99 is 7-PRP! (52.460000 seconds) (12*10^14059-21)/99 is 11-PRP! (52.510000 seconds) (12*10^14059-21)/99 is 13-PRP! (52.450000 seconds) (12*10^14059-21)/99 is 17-PRP! (52.510000 seconds) (12*10^14059-21)/99 is 19-PRP! (52.400000 seconds) (12*10^14059-21)/99 is 23-PRP! (52.510000 seconds) (12*10^14059-21)/99 is 29-PRP! (52.400000 seconds) (12*10^14059-21)/99 is 31-PRP! (52.510000 seconds) (12*10^14059-21)/99 is 37-PRP! (52.400000 seconds) (12*10^14059-21)/99 is 41-PRP! (52.350000 seconds) (12*10^14059-21)/99 is 43-PRP! (52.400000 seconds) (12*10^14059-21)/99 is 47-PRP! (52.350000 seconds) (12*10^14059-21)/99 is 53-PRP! (52.400000 seconds) (12*10^14059-21)/99 is 59-PRP! (52.620000 seconds) (12*10^14059-21)/99 is 61-PRP! (52.450000 seconds) (12*10^14059-21)/99 is 251-PRP! (52.350000 seconds)
(12*10^46499-21)/99 PFGW Version 3.3.6.20100908.Win_Stable [GWNUM 25.14] Primality testing (12*10^46499-21)/99 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 11 Running N+1 test using discriminant 19, base 9+sqrt(19) (12*10^46499-21)/99 is Fermat and Lucas PRP! (811.3942s+0.0024s)