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(15*10^3-51)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(15*10^3-51)/99 N=151 *** N is prime! Time: 0 sec
(15*10^15-51)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(15*10^15-51)/99 N=151515151515151 Factor: 2 divides N - 1 Factor: 2^4 divides N + 1 Factor: 3 divides N - 1 Factor: 5^2 divides N - 1 Factor: 239 divides N - 1 Factorization results: F1=0.3212 F2=0.0849 F1=35850 F2=16 Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=151515151515149 Pass: 3^(N-1) = 1 (mod N): R20=1 Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=1 q=-3 R20=0 Pass: gcd(U{(N+1)/2}, N) = 1: d=13 p=3 q=-1 R20=113543879236388 Pass: U{N+1} = 0 (mod N): d=13 p=3 q=-1 R20=0 Pass: gcd(3^((N-1)/3) - 1, N) = 1: R20=134652178724280 Pass: gcd(3^((N-1)/5) - 1, N) = 1: R20=56852794520023 Pass: gcd(3^((N-1)/239) - 1, N) = 1: R20=23337384295483 BLS tests passed: F1=0.3212 F2=0.0849 Main divisor test: F1=0.3000 F2=0.0849 G=0.3849 S=0.0000 T=1 G=286800 Main divisor test passed: 1/1 Final divisor test: F=0.3212 G=0.3849 H=1.0272 t=-1 a=1 Final divisor test passed: 3/3 r=3 i=0 *** N is prime! Time: 0 sec
(15*10^63-51)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(15*10^63-51)/99 N=151515151515151515151515151515151515151515151515151515151515151 Factor: 2 divides N - 1 Factor: 2^4 divides N + 1 Factor: 3 divides N - 1 Factor: 5^2 divides N - 1 Factor: 281 divides N + 1 Factor: 2791 divides N - 1 Factorization results: F1=0.0904 F2=0.0587 F1=418650 F2=4496 Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=51515151515151515149 Pass: 3^(N-1) = 1 (mod N): R20=1 Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=1 q=-3 R20=0 Pass: gcd(U{(N+1)/2}, N) = 1: d=13 p=3 q=-1 R20=60674099198985677568 Pass: U{N+1} = 0 (mod N): d=13 p=3 q=-1 R20=0 Fail: gcd(3^((N-1)/3) - 1, N) not = 1: R20=0 Fail: gcd(7^((N-1)/3) - 1, N) not = 1: R20=0 Pass: gcd(11^((N-1)/3) - 1, N) = 1: R20=80535677442945378449 Pass: 11^(N-1) = 1 (mod N): R20=1 Pass: gcd(11^((N-1)/5) - 1, N) = 1: R20=95303056095581401194 Pass: gcd(U{(N+1)/281}, N) = 1: d=13 p=3 q=-1 R20=93429673111965985462 Pass: gcd(11^((N-1)/2791) - 1, N) = 1: R20=77396757731622212701 BLS tests passed: F1=0.0904 F2=0.0587 APRCL test T=1260 S=1684033088848101075163079 APRCL main test (1) at level 4 for p=2 APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=1 R20=51515151515151515150 APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=2 R20=15151515151515151515 APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=1 R20=51515151515151515150 APRCL L_2 condition satisfied APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=1 R20=22036937421552806168 APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=1 R20=51515151515151515150 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=1 R20=40301971610759570985 APRCL main test (1 9) done: p=2 q=19 k=1 g=2 h=0 R20=1 APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=0 R20=55189587622020054452 APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=3 R20=7940335561592543980 APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=3 R20=65978452779879652650 APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=0 R20=1 APRCL main test (1 14) done: p=2 q=71 k=1 g=7 h=1 R20=51515151515151515150 APRCL main test (1 15) done: p=2 q=127 k=1 g=3 h=1 R20=51515151515151515150 APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=1 R20=51515151515151515150 APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=0 R20=41300331871362276291 APRCL tests for p=2 completed APRCL main test (2) at level 4 for p=3 APRCL L_3 condition satisfied APRCL main test (2 4) done: p=3 q=7 k=1 g=3 h=1 R20=1 APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=0 R20=2 APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=0 R20=2 APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=2 R20=51515151515151515148 APRCL main test (2 9) done: p=3 q=19 k=2 g=2 h=6 R20=27216063329308824837 APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=8 R20=27992687102478122925 APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=7 R20=95244786275875588262 APRCL main test (2 13) done: p=3 q=43 k=1 g=3 h=0 R20=2 APRCL main test (2 15) done: p=3 q=127 k=2 g=3 h=8 R20=71029041505100243562 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=0 R20=2 APRCL tests for p=3 completed APRCL main test (3) at level 4 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=51515151515151515144 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=0 R20=4 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 tests for p=5 completed APRCL main test (4) at level 4 for p=7 APRCL L_7 condition satisfied APRCL main test (4 12) done: p=7 q=29 k=1 g=2 h=0 R20=68663017505684398340 APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=1 R20=16277302001950567782 APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=3 R20=90489449614072509426 APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=5 R20=66058046285740032338 APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=3 R20=1597365311294658426 APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=5 R20=35249465512549722402 APRCL tests for p=7 completed Main divisor test: F1=0.0856 F2=0.0587 G=0.5339 S=0.3896 T=1260 G=1584885977548786893983067756490800 Main divisor test passed: 1260/1260 *** N is prime! Time: 1 sec
(15*10^89-51)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(15*10^89-51)/99 N=15151515151515151515151515151515151515151515151515151515151515151515151515151515151515151 Factor: 2 divides N - 1 Factor: 2^4 divides N + 1 Factor: 3 divides N - 1 Factor: 5^2 divides N - 1 Factor: 11 divides N - 1 Factor: 17 divides N + 1 Factor: 23 divides N - 1 Factor: 73 divides N - 1 Factor: 89 divides N - 1 Factor: 101 divides N - 1 Factor: 131 divides N + 1 Factor: 137 divides N - 1 Factor: 617 divides N - 1 Factor: 1427 divides N + 1 Factor: 4093 divides N - 1 Factor: 8779 divides N - 1 Factor: 21649 divides N - 1 Factorization results: F1=0.3086 F2=0.0874 F1=1637481439564425268940935050 F2=50846864 Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=51515151515151515149 Pass: 3^(N-1) = 1 (mod N): R20=1 Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=1 q=-3 R20=0 Pass: gcd(U{(N+1)/2}, N) = 1: d=13 p=3 q=-1 R20=149444611681840116 Pass: U{N+1} = 0 (mod N): d=13 p=3 q=-1 R20=0 Pass: gcd(3^((N-1)/3) - 1, N) = 1: R20=28233816581556132674 Pass: gcd(3^((N-1)/5) - 1, N) = 1: R20=43536317352282838500 Pass: gcd(3^((N-1)/11) - 1, N) = 1: R20=32885207827798692710 Pass: gcd(U{(N+1)/17}, N) = 1: d=13 p=3 q=-1 R20=24922046136978312371 Pass: gcd(3^((N-1)/23) - 1, N) = 1: R20=72566050431467841948 Fail: gcd(3^((N-1)/73) - 1, N) not = 1: R20=0 Pass: gcd(11^((N-1)/73) - 1, N) = 1: R20=90614276252907501512 Pass: 11^(N-1) = 1 (mod N): R20=1 Pass: gcd(11^((N-1)/89) - 1, N) = 1: R20=60977794470288353203 Pass: gcd(11^((N-1)/101) - 1, N) = 1: R20=92455738577165547277 Pass: gcd(U{(N+1)/131}, N) = 1: d=13 p=3 q=-1 R20=9203486369382552244 Pass: gcd(11^((N-1)/137) - 1, N) = 1: R20=29497027629353488569 Pass: gcd(11^((N-1)/617) - 1, N) = 1: R20=20842720093382346439 Pass: gcd(U{(N+1)/1427}, N) = 1: d=13 p=3 q=-1 R20=29304676142695025933 Pass: gcd(11^((N-1)/4093) - 1, N) = 1: R20=22614437604574288457 Pass: gcd(11^((N-1)/8779) - 1, N) = 1: R20=66923386650857514796 Pass: gcd(11^((N-1)/21649) - 1, N) = 1: R20=75598217672172859514 BLS tests passed: F1=0.3086 F2=0.0874 Main divisor test: F1=0.3052 F2=0.0874 G=0.3926 S=0.0000 T=1 G=41630398030028275444001574260091600 Main divisor test passed: 1/1 Final divisor test: F=0.3086 G=0.3926 H=1.0098 t=-1 a=1 Final divisor test passed: 3/3 r=3 i=0 *** N is prime! Time: 0 sec
(15*10^245-51)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(15*10^245-51)/99 N=15151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151 Factor: 2 divides N - 1 Factor: 2^4 divides N + 1 Factor: 3 divides N - 1 Factor: 5^2 divides N - 1 Factor: 89 divides N + 1 Factor: 101 divides N - 1 Factor: 733 divides N - 1 Factor: 1657 divides N + 1 Factor: 4637 divides N - 1 Factor: 81131 divides N - 1 Factorization results: F1=0.0640 F2=0.0261 F1=4177731573712650 F2=2359568 Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=51515151515151515149 Pass: 3^(N-1) = 1 (mod N): R20=1 Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=1 q=-3 R20=0 Pass: gcd(U{(N+1)/2}, N) = 1: d=13 p=3 q=-1 R20=20539093665958669032 Pass: U{N+1} = 0 (mod N): d=13 p=3 q=-1 R20=0 Pass: gcd(3^((N-1)/3) - 1, N) = 1: R20=71656433472531092604 Pass: gcd(3^((N-1)/5) - 1, N) = 1: R20=39079835762394148827 Pass: gcd(U{(N+1)/89}, N) = 1: d=13 p=3 q=-1 R20=69905711961156968907 Pass: gcd(3^((N-1)/101) - 1, N) = 1: R20=69630904047055485538 Pass: gcd(3^((N-1)/733) - 1, N) = 1: R20=76060803741910510635 Pass: gcd(U{(N+1)/1657}, N) = 1: d=13 p=3 q=-1 R20=75274959756022389583 Pass: gcd(3^((N-1)/4637) - 1, N) = 1: R20=34379051188636071218 Pass: gcd(3^((N-1)/81131) - 1, N) = 1: R20=13914190448420709817 BLS tests passed: F1=0.0640 F2=0.0261 APRCL test T=166320 S=16793792803038508301271542104496751354763038900253167478748610669450886492913044793064216450822099257843 APRCL main test (1) at level 8 for p=2 APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=1 R20=51515151515151515150 APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=2 R20=15151515151515151515 APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=0 R20=1 APRCL L_2 condition satisfied APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=3 R20=31127846512461897077 APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=0 R20=1 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=98530860879691839111 APRCL main test (1 9) done: p=2 q=19 k=1 g=2 h=1 R20=51515151515151515150 APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=3 R20=63758107001350244593 APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=1 R20=78635535785805924080 APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=1 R20=24736064569596079703 APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=1 R20=51515151515151515150 APRCL main test (1 14) done: p=2 q=71 k=1 g=7 h=1 R20=51515151515151515150 APRCL main test (1 15) done: p=2 q=127 k=1 g=3 h=0 R20=1 APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=1 R20=51515151515151515150 APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=1 R20=65004967555731769429 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=3 R20=21474795429748242751 APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=7 R20=47460105237463534471 APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=6 R20=99390540902055942745 APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=1 R20=20433982313320727754 APRCL main test (1 23) done: p=2 q=17 k=4 g=3 h=12 R20=77619328574256163332 APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=14 R20=7164555398376883394 APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=10 R20=2266946165259319932 APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=12 R20=33360772154954170901 APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=1 R20=47081139125276756346 APRCL main test (1 28) done: p=2 q=109 k=2 g=6 h=2 R20=51983176602316405363 APRCL main test (1 29) done: p=2 q=271 k=1 g=6 h=0 R20=1 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=3 R20=30571686717427496280 APRCL main test (1 32) done: p=2 q=541 k=2 g=2 h=3 R20=4531968976876572518 APRCL main test (1 33) done: p=2 q=757 k=2 g=2 h=3 R20=35045239401760397347 APRCL main test (1 34) done: p=2 q=2161 k=4 g=23 h=12 R20=61077172072704537956 APRCL main test (1 35) done: p=2 q=7561 k=3 g=13 h=5 R20=24614231050779662261 APRCL main test (1 36) done: p=2 q=15121 k=4 g=11 h=14 R20=24825278998705392304 APRCL main test (1 37) done: p=2 q=23 k=1 g=5 h=1 R20=51515151515151515150 APRCL main test (1 38) done: p=2 q=67 k=1 g=2 h=1 R20=51515151515151515150 APRCL main test (1 39) for p=2 q=89 not needed 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=51515151515151515150 APRCL main test (1 42) done: p=2 q=397 k=2 g=5 h=1 R20=17072629101130011611 APRCL main test (1 43) done: p=2 q=463 k=1 g=3 h=1 R20=51515151515151515150 APRCL main test (1 44) done: p=2 q=617 k=3 g=3 h=1 R20=84620057324463002621 APRCL main test (1 45) done: p=2 q=661 k=2 g=2 h=2 R20=69289330648706828840 APRCL main test (1 46) done: p=2 q=881 k=4 g=3 h=9 R20=96947791366787032994 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=3 R20=4466625306003692841 APRCL tests for p=2 completed APRCL main test (2) at level 8 for p=3 APRCL L_3 condition satisfied APRCL main test (2 4) done: p=3 q=7 k=1 g=3 h=1 R20=1 APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=2 R20=51515151515151515148 APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=0 R20=2 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=1 R20=2097416580858112307 APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=2 R20=77475645933611850530 APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=2 R20=51176346020003024608 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=7 R20=56046852241132192239 APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=2 R20=51515151515151515148 APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=0 R20=2 APRCL main test (2 18) done: p=3 q=631 k=2 g=3 h=8 R20=12010624786857625520 APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=4 R20=40352017916308761441 APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=1 R20=63287435230310646799 APRCL main test (2 25) done: p=3 q=241 k=1 g=7 h=2 R20=51515151515151515148 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=3 R20=41233786527545480624 APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=13 R20=41018159746836880032 APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=22 R20=80572680932433587896 APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=18 R20=4403308409663746374 APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=1 R20=85578473313617739200 APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=19 R20=84079085005967299555 APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=16 R20=8244219402095905389 APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=25 R20=22926325907957780098 APRCL main test (2 35) done: p=3 q=7561 k=3 g=13 h=13 R20=45236839923821732192 APRCL main test (2 36) done: p=3 q=15121 k=3 g=11 h=10 R20=28016934261867658440 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=5 R20=9712446671222868762 APRCL main test (2 41) done: p=3 q=331 k=1 g=3 h=2 R20=51515151515151515148 APRCL main test (2 42) done: p=3 q=397 k=2 g=5 h=5 R20=61393440018041973433 APRCL main test (2 43) done: p=3 q=463 k=1 g=3 h=0 R20=2 APRCL main test (2 45) done: p=3 q=661 k=1 g=2 h=2 R20=51515151515151515148 APRCL main test (2 47) done: p=3 q=991 k=2 g=6 h=7 R20=81733444664497886098 APRCL main test (2 48) done: p=3 q=1321 k=1 g=13 h=2 R20=51515151515151515148 APRCL tests for p=3 completed APRCL main test (3) at level 8 for p=5 APRCL L_5 condition satisfied APRCL main test (3 6) done: p=5 q=11 k=1 g=2 h=2 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=3 R20=1 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=4 R20=51515151515151515144 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=2 R20=1 APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=1 R20=1 APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=4 R20=51515151515151515144 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=0 R20=4 APRCL main test (3 32) done: p=5 q=541 k=1 g=2 h=1 R20=1 APRCL main test (3 34) done: p=5 q=2161 k=1 g=23 h=1 R20=1 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=1 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=4 R20=51515151515151515144 APRCL main test (3 46) done: p=5 q=881 k=1 g=3 h=2 R20=1 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=3 R20=1 APRCL tests for p=5 completed APRCL main test (4) at level 8 for p=7 APRCL L_7 condition satisfied APRCL main test (4 12) done: p=7 q=29 k=1 g=2 h=1 R20=84182054827692475783 APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=5 R20=94494077665342189244 APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=4 R20=54431824921306887394 APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=3 R20=87100206460644084556 APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=6 R20=70824297769946288585 APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=1 R20=31018735655937943890 APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=4 R20=69930371368801866133 APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=3 R20=19031878933489685453 APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=3 R20=30005790888116966667 APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=6 R20=61276918280339024781 APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=2 R20=47102692467556839942 APRCL main test (4 27) done: p=7 q=1009 k=1 g=11 h=4 R20=50545845202640580339 APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=3 R20=1695220543416794258 APRCL main test (4 33) done: p=7 q=757 k=1 g=2 h=1 R20=96470160351208323591 APRCL main test (4 35) done: p=7 q=7561 k=1 g=13 h=4 R20=57693693231227063105 APRCL main test (4 36) done: p=7 q=15121 k=1 g=11 h=1 R20=22317107667337117638 APRCL main test (4 43) done: p=7 q=463 k=1 g=3 h=5 R20=34504479344500087554 APRCL main test (4 44) done: p=7 q=617 k=1 g=3 h=0 R20=46691853313828981504 APRCL tests for p=7 completed APRCL main test (5) at level 8 for p=11 APRCL L_11 condition satisfied APRCL main test (5 37) done: p=11 q=23 k=1 g=5 h=2 R20=55312913612781157988 APRCL main test (5 38) done: p=11 q=67 k=1 g=2 h=7 R20=64938722503389692258 APRCL main test (5 39) for p=11 q=89 not needed APRCL main test (5 40) done: p=11 q=199 k=1 g=3 h=7 R20=98048289666149224098 APRCL main test (5 41) done: p=11 q=331 k=1 g=3 h=0 R20=41074429824972291789 APRCL main test (5 42) done: p=11 q=397 k=1 g=5 h=5 R20=49153657494504245591 APRCL main test (5 43) done: p=11 q=463 k=1 g=3 h=10 R20=52950660644824595737 APRCL main test (5 44) done: p=11 q=617 k=1 g=3 h=9 R20=18524634356495554064 APRCL main test (5 45) done: p=11 q=661 k=1 g=2 h=1 R20=13479571194777754254 APRCL main test (5 46) done: p=11 q=881 k=1 g=3 h=7 R20=98491364895018908083 APRCL main test (5 47) done: p=11 q=991 k=1 g=6 h=10 R20=91017395794008497721 APRCL main test (5 48) done: p=11 q=1321 k=1 g=13 h=9 R20=54498912933476683274 APRCL tests for p=11 completed Main divisor test: F1=0.0627 F2=0.0261 G=0.5116 S=0.4227 T=166320 G=82773596403035747904765806212107759992657981416801950332167988706128688268269106728649389653032931017443016124895322045186800 Main divisor test passed: 166320/166320 *** N is prime! Time: 68 sec
(15*10^583-51)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(15*10^583-51)/99 N=1515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151 Factor: 2 divides N - 1 Factor: 2^4 divides N + 1 Factor: 3^2 divides N - 1 Factor: 5^2 divides N - 1 Factor: 7 divides N - 1 Factor: 13 divides N - 1 Factor: 37 divides N - 1 Factor: 67 divides N + 1 Factor: 1747 divides N - 1 Factor: 18043 divides N - 1 Factor: 63473 divides N + 1 Factorization results: F1=0.0235 F2=0.0135 F1=47759226483150 F2=68043056 Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=51515151515151515149 Pass: 3^(N-1) = 1 (mod N): R20=1 Pass: gcd(U{(N+1)/2}, N) = 1: d=41 p=1 q=-10 R20=83825993809557084367 Pass: U{N+1} = 0 (mod N): d=41 p=1 q=-10 R20=0 Fail: gcd(3^((N-1)/3) - 1, N) not = 1: R20=0 Pass: gcd(7^((N-1)/3) - 1, N) = 1: R20=49231534461135988367 Pass: 7^(N-1) = 1 (mod N): R20=1 Pass: gcd(7^((N-1)/5) - 1, N) = 1: R20=60118541002821068919 Pass: gcd(7^((N-1)/7) - 1, N) = 1: R20=77562480791891461517 Pass: gcd(7^((N-1)/13) - 1, N) = 1: R20=89402152979411951816 Pass: gcd(7^((N-1)/37) - 1, N) = 1: R20=18364708804513290989 Pass: gcd(U{(N+1)/67}, N) = 1: d=41 p=1 q=-10 R20=21247612256466701107 Pass: gcd(7^((N-1)/1747) - 1, N) = 1: R20=49295422718380090240 Pass: gcd(7^((N-1)/18043) - 1, N) = 1: R20=10885287970856510951 Pass: gcd(U{(N+1)/63473}, N) = 1: d=41 p=1 q=-10 R20=20045417439503580553 BLS tests passed: F1=0.0235 F2=0.0135 APRCL test T=21621600 S=8543430236103345375368337342339700530031899361288402617592130130673583436766244960385179906825100771316699595941310253267005252377697138721022498150892944561611518436493284527585471231990349062956871995223907658033312893128426770994468864799061052376549120892672678853213 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=1 R20=51515151515151515150 APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=2 R20=15151515151515151515 APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=1 R20=51515151515151515150 APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=2 R20=63026716872870719024 APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=1 R20=51515151515151515150 APRCL main test (1 7) done: p=2 q=31 k=1 g=3 h=1 R20=51515151515151515150 APRCL main test (1 8) done: p=2 q=61 k=2 g=2 h=0 R20=78880717956235290285 APRCL main test (1 9) done: p=2 q=19 k=1 g=2 h=0 R20=1 APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=2 R20=41036368063395090422 APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=2 R20=10304103271350913364 APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=2 R20=83565740640651461103 APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=0 R20=1 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=0 R20=1 APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=0 R20=1 APRCL L_2 condition satisfied APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=3 R20=62862584124030403390 APRCL main test (1 18) done: p=2 q=631 k=1 g=3 h=1 R20=51515151515151515150 APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=5 R20=94504186094044869104 APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=0 R20=93167425862661433173 APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=5 R20=93895492055311815738 APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=2 R20=84106744775947989420 APRCL main test (1 23) done: p=2 q=17 k=4 g=3 h=6 R20=69650582963449751189 APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=15 R20=70638279248965857567 APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=5 R20=55123981450615655472 APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=3 R20=19418193219850526137 APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=10 R20=64239084986951628638 APRCL main test (1 28) done: p=2 q=109 k=2 g=6 h=3 R20=12416310227942245449 APRCL main test (1 29) done: p=2 q=271 k=1 g=6 h=1 R20=51515151515151515150 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=9 R20=30150098977044383649 APRCL main test (1 32) done: p=2 q=541 k=2 g=2 h=2 R20=46178107036174351784 APRCL main test (1 33) done: p=2 q=757 k=2 g=2 h=0 R20=45604455951913150163 APRCL main test (1 34) done: p=2 q=2161 k=4 g=23 h=1 R20=67209411223612692055 APRCL main test (1 35) done: p=2 q=7561 k=3 g=13 h=7 R20=26359123285852886225 APRCL main test (1 36) done: p=2 q=15121 k=4 g=11 h=12 R20=1619169348349629309 APRCL main test (1 37) done: p=2 q=23 k=1 g=5 h=0 R20=1 APRCL main test (1 38) for p=2 q=67 not needed APRCL main test (1 39) done: p=2 q=89 k=3 g=3 h=7 R20=23814822037109378768 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=0 R20=1 APRCL main test (1 42) done: p=2 q=397 k=2 g=5 h=1 R20=24158557319734663668 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=6 R20=52539403882841326974 APRCL main test (1 45) done: p=2 q=661 k=2 g=2 h=0 R20=6507680849037753375 APRCL main test (1 46) done: p=2 q=881 k=4 g=3 h=15 R20=87115121245083492815 APRCL main test (1 47) done: p=2 q=991 k=1 g=6 h=1 R20=51515151515151515150 APRCL main test (1 48) done: p=2 q=1321 k=3 g=13 h=4 R20=40055368556085174062 APRCL main test (1 49) done: p=2 q=2311 k=1 g=3 h=0 R20=1 APRCL main test (1 50) done: p=2 q=2377 k=3 g=5 h=0 R20=91620667998790169303 APRCL main test (1 51) done: p=2 q=2971 k=1 g=10 h=0 R20=1 APRCL main test (1 52) done: p=2 q=3697 k=4 g=5 h=8 R20=31177936749824317825 APRCL main test (1 53) done: p=2 q=4159 k=1 g=3 h=1 R20=51515151515151515150 APRCL main test (1 54) done: p=2 q=4621 k=2 g=2 h=3 R20=41306049754032934044 APRCL main test (1 55) done: p=2 q=8317 k=2 g=6 h=3 R20=98705952786133419795 APRCL main test (1 56) done: p=2 q=9241 k=3 g=13 h=2 R20=80150206963353122990 APRCL main test (1 57) done: p=2 q=16633 k=3 g=15 h=3 R20=1316941089086614825 APRCL main test (1 58) done: p=2 q=18481 k=4 g=13 h=4 R20=36236744564582334429 APRCL main test (1 59) done: p=2 q=23761 k=4 g=7 h=15 R20=25511260065006612448 APRCL main test (1 60) done: p=2 q=101 k=2 g=2 h=3 R20=97617880599941182237 APRCL main test (1 61) done: p=2 q=151 k=1 g=6 h=1 R20=51515151515151515150 APRCL main test (1 62) done: p=2 q=401 k=4 g=3 h=14 R20=75352779819420905682 APRCL main test (1 63) done: p=2 q=601 k=3 g=7 h=4 R20=6701515751425562988 APRCL main test (1 64) done: p=2 q=701 k=2 g=2 h=3 R20=63599086174945808931 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=2 R20=34195774437819883260 APRCL main test (1 67) done: p=2 q=1801 k=3 g=11 h=6 R20=41528915015253494848 APRCL main test (1 68) done: p=2 q=2801 k=4 g=3 h=10 R20=52629233863733735721 APRCL main test (1 69) done: p=2 q=3301 k=2 g=6 h=3 R20=42443017809226042417 APRCL main test (1 70) done: p=2 q=3851 k=1 g=2 h=1 R20=51515151515151515150 APRCL main test (1 71) done: p=2 q=4201 k=3 g=11 h=3 R20=78361993845127521442 APRCL main test (1 72) done: p=2 q=4951 k=1 g=6 h=1 R20=51515151515151515150 APRCL main test (1 73) done: p=2 q=6301 k=2 g=10 h=3 R20=41102210116784250101 APRCL main test (1 74) done: p=2 q=9901 k=2 g=2 h=1 R20=44408396634901715739 APRCL main test (1 75) done: p=2 q=11551 k=1 g=7 h=0 R20=1 APRCL main test (1 76) done: p=2 q=12601 k=3 g=11 h=7 R20=38977750755187434 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=9777074136422785872 APRCL main test (1 79) done: p=2 q=19801 k=3 g=13 h=7 R20=52793428279254520516 APRCL main test (1 80) done: p=2 q=97 k=5 g=5 h=10 R20=95948065368995047239 APRCL main test (1 81) done: p=2 q=353 k=5 g=3 h=13 R20=39378438387771188650 APRCL main test (1 82) done: p=2 q=673 k=5 g=5 h=2 R20=31848491561661811766 APRCL main test (1 83) done: p=2 q=2017 k=5 g=5 h=26 R20=99596752417640729348 APRCL main test (1 84) done: p=2 q=3169 k=5 g=7 h=19 R20=98103909405164437624 APRCL main test (1 85) done: p=2 q=3361 k=5 g=22 h=13 R20=24470388753499883128 APRCL main test (1 86) done: p=2 q=5281 k=5 g=7 h=13 R20=37288996840169978675 APRCL main test (1 87) done: p=2 q=7393 k=5 g=5 h=7 R20=92344749158723595368 APRCL main test (1 88) done: p=2 q=21601 k=5 g=7 h=5 R20=43735193370570850079 APRCL main test (1 89) done: p=2 q=30241 k=5 g=11 h=18 R20=20000711918970791363 APRCL main test (1 90) done: p=2 q=53 k=2 g=2 h=3 R20=20889564926588778493 APRCL main test (1 91) done: p=2 q=79 k=1 g=3 h=1 R20=51515151515151515150 APRCL main test (1 92) done: p=2 q=131 k=1 g=2 h=1 R20=51515151515151515150 APRCL main test (1 93) done: p=2 q=157 k=2 g=5 h=1 R20=39637479914975959440 APRCL main test (1 94) done: p=2 q=313 k=3 g=10 h=1 R20=7180689470792268253 APRCL main test (1 95) done: p=2 q=521 k=3 g=3 h=7 R20=53408352360954864023 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=1 R20=51515151515151515150 APRCL main test (1 98) done: p=2 q=911 k=1 g=17 h=0 R20=1 APRCL main test (1 99) done: p=2 q=937 k=3 g=5 h=3 R20=21164740746619204673 APRCL main test (1 100) done: p=2 q=1093 k=2 g=5 h=1 R20=64752066011933973151 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=0 R20=2 APRCL main test (2 9) done: p=3 q=19 k=2 g=2 h=8 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=2 R20=0 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=3 R20=1 APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=1 R20=1 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=2 R20=0 APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=4 R20=0 APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=4 R20=0 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=3 R20=1 APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=18 R20=41430293567660985487 APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=17 R20=6478882660091087776 APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=17 R20=94710069766933163670 APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=21 R20=96321844372561755006 APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=19 R20=29265353757066411484 APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=14 R20=47094617245933354348 APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=1 R20=85179795405022684446 APRCL main test (2 35) done: p=3 q=7561 k=3 g=13 h=18 R20=72233310766960336692 APRCL main test (2 36) done: p=3 q=15121 k=3 g=11 h=1 R20=92045230208041982835 APRCL main test (2 38) for p=3 q=67 not needed APRCL main test (2 40) done: p=3 q=199 k=2 g=3 h=5 R20=0 APRCL main test (2 41) done: p=3 q=331 k=1 g=3 h=2 R20=51515151515151515148 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=1 R20=1 APRCL main test (2 45) done: p=3 q=661 k=1 g=2 h=1 R20=1 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=0 R20=2 APRCL main test (2 49) done: p=3 q=2311 k=1 g=3 h=1 R20=1 APRCL main test (2 50) done: p=3 q=2377 k=3 g=5 h=2 R20=68336319337494468543 APRCL main test (2 51) done: p=3 q=2971 k=3 g=10 h=22 R20=79598181832919987035 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=26385958378626335817 APRCL main test (2 54) done: p=3 q=4621 k=1 g=2 h=1 R20=1 APRCL main test (2 55) done: p=3 q=8317 k=3 g=6 h=23 R20=26587572666831239079 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=74679741825725746146 APRCL main test (2 58) done: p=3 q=18481 k=1 g=13 h=1 R20=1 APRCL main test (2 59) done: p=3 q=23761 k=3 g=7 h=17 R20=12268648522070050658 APRCL main test (2 61) done: p=3 q=151 k=1 g=6 h=2 R20=51515151515151515148 APRCL main test (2 63) done: p=3 q=601 k=1 g=7 h=1 R20=1 APRCL main test (2 65) done: p=3 q=1051 k=1 g=7 h=0 R20=2 APRCL main test (2 66) done: p=3 q=1201 k=1 g=11 h=0 R20=2 APRCL main test (2 67) done: p=3 q=1801 k=2 g=11 h=1 R20=0 APRCL main test (2 69) done: p=3 q=3301 k=1 g=6 h=0 R20=2 APRCL main test (2 71) done: p=3 q=4201 k=1 g=11 h=1 R20=1 APRCL main test (2 72) done: p=3 q=4951 k=2 g=6 h=2 R20=0 APRCL main test (2 73) done: p=3 q=6301 k=2 g=10 h=5 R20=0 APRCL main test (2 74) done: p=3 q=9901 k=2 g=2 h=7 R20=0 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=4 R20=0 APRCL main test (2 77) done: p=3 q=14851 k=3 g=2 h=8 R20=87716110538242960634 APRCL main test (2 79) done: p=3 q=19801 k=2 g=13 h=2 R20=0 APRCL main test (2 80) done: p=3 q=97 k=1 g=5 h=2 R20=51515151515151515148 APRCL main test (2 82) done: p=3 q=673 k=1 g=5 h=2 R20=51515151515151515148 APRCL main test (2 83) done: p=3 q=2017 k=2 g=5 h=0 R20=6 APRCL main test (2 84) done: p=3 q=3169 k=2 g=7 h=7 R20=0 APRCL main test (2 85) done: p=3 q=3361 k=1 g=22 h=0 R20=2 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=2 R20=51515151515151515148 APRCL main test (2 88) done: p=3 q=21601 k=3 g=7 h=21 R20=67696168656126455215 APRCL main test (2 89) done: p=3 q=30241 k=3 g=11 h=22 R20=52062503963613907454 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=0 R20=2 APRCL main test (2 94) done: p=3 q=313 k=1 g=10 h=1 R20=1 APRCL main test (2 96) done: p=3 q=547 k=1 g=2 h=2 R20=51515151515151515148 APRCL main test (2 97) done: p=3 q=859 k=1 g=2 h=1 R20=1 APRCL main test (2 99) done: p=3 q=937 k=2 g=5 h=6 R20=51515151515151515144 APRCL main test (2 100) done: p=3 q=1093 k=1 g=5 h=1 R20=1 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=2 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=0 R20=4 APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=1 R20=1 APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=2 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=51515151515151515144 APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=4 R20=51515151515151515144 APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=0 R20=4 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=4 R20=51515151515151515144 APRCL main test (3 29) done: p=5 q=271 k=1 g=6 h=1 R20=1 APRCL main test (3 32) done: p=5 q=541 k=1 g=2 h=1 R20=1 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=4 R20=51515151515151515144 APRCL main test (3 36) done: p=5 q=15121 k=1 g=11 h=3 R20=1 APRCL main test (3 41) done: p=5 q=331 k=1 g=3 h=1 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=3 R20=1 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=4 R20=51515151515151515144 APRCL main test (3 49) done: p=5 q=2311 k=1 g=3 h=2 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=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=2 R20=1 APRCL main test (3 60) done: p=5 q=101 k=2 g=2 h=11 R20=0 APRCL main test (3 61) done: p=5 q=151 k=2 g=6 h=1 R20=0 APRCL main test (3 62) done: p=5 q=401 k=2 g=3 h=23 R20=0 APRCL main test (3 63) done: p=5 q=601 k=2 g=7 h=14 R20=0 APRCL main test (3 64) done: p=5 q=701 k=2 g=2 h=2 R20=0 APRCL main test (3 65) done: p=5 q=1051 k=2 g=7 h=22 R20=0 APRCL main test (3 66) done: p=5 q=1201 k=2 g=11 h=6 R20=0 APRCL main test (3 67) done: p=5 q=1801 k=2 g=11 h=9 R20=0 APRCL main test (3 68) done: p=5 q=2801 k=2 g=3 h=11 R20=0 APRCL main test (3 69) done: p=5 q=3301 k=2 g=6 h=4 R20=0 APRCL main test (3 70) done: p=5 q=3851 k=2 g=2 h=18 R20=0 APRCL main test (3 71) done: p=5 q=4201 k=2 g=11 h=5 R20=1 APRCL main test (3 72) done: p=5 q=4951 k=2 g=6 h=19 R20=0 APRCL main test (3 73) done: p=5 q=6301 k=2 g=10 h=16 R20=0 APRCL main test (3 74) done: p=5 q=9901 k=2 g=2 h=16 R20=0 APRCL main test (3 75) done: p=5 q=11551 k=2 g=7 h=23 R20=0 APRCL main test (3 76) done: p=5 q=12601 k=2 g=11 h=17 R20=0 Parameters saved: 2 21621600 3 77 1 1 1837 APRCL main test (3 77) done: p=5 q=14851 k=2 g=2 h=6 R20=0 APRCL main test (3 78) done: p=5 q=15401 k=2 g=6 h=21 R20=0 APRCL main test (3 79) done: p=5 q=19801 k=2 g=13 h=24 R20=0 APRCL main test (3 85) done: p=5 q=3361 k=1 g=22 h=1 R20=1 APRCL main test (3 86) done: p=5 q=5281 k=1 g=7 h=2 R20=1 APRCL main test (3 88) done: p=5 q=21601 k=2 g=7 h=23 R20=0 APRCL main test (3 89) done: p=5 q=30241 k=1 g=11 h=4 R20=51515151515151515144 APRCL main test (3 92) done: p=5 q=131 k=1 g=2 h=1 R20=1 APRCL main test (3 95) done: p=5 q=521 k=1 g=3 h=3 R20=1 APRCL main test (3 98) done: p=5 q=911 k=1 g=17 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=3 R20=1 APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=4 R20=1 APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=5 R20=1 APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=0 R20=6 APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=3 R20=1 APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=5 R20=1 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=4 R20=1 APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=2 R20=1 APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=4 R20=1 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=5 R20=1 APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=2 R20=1 APRCL main test (4 33) done: p=7 q=757 k=1 g=2 h=2 R20=1 APRCL main test (4 35) done: p=7 q=7561 k=1 g=13 h=1 R20=1 APRCL main test (4 36) done: p=7 q=15121 k=1 g=11 h=0 R20=6 APRCL main test (4 43) done: p=7 q=463 k=1 g=3 h=1 R20=1 APRCL main test (4 44) done: p=7 q=617 k=1 g=3 h=5 R20=1 APRCL main test (4 49) done: p=7 q=2311 k=1 g=3 h=2 R20=1 APRCL main test (4 52) done: p=7 q=3697 k=1 g=5 h=3 R20=1 APRCL main test (4 53) done: p=7 q=4159 k=1 g=3 h=1 R20=1 APRCL main test (4 54) done: p=7 q=4621 k=1 g=2 h=4 R20=1 APRCL main test (4 55) done: p=7 q=8317 k=1 g=6 h=5 R20=1 APRCL main test (4 56) done: p=7 q=9241 k=1 g=13 h=6 R20=51515151515151515140 APRCL main test (4 57) done: p=7 q=16633 k=1 g=15 h=4 R20=1 APRCL main test (4 58) done: p=7 q=18481 k=1 g=13 h=1 R20=1 APRCL main test (4 64) done: p=7 q=701 k=1 g=2 h=2 R20=1 APRCL main test (4 65) done: p=7 q=1051 k=1 g=7 h=4 R20=1 APRCL main test (4 68) done: p=7 q=2801 k=1 g=3 h=2 R20=1 APRCL main test (4 70) done: p=7 q=3851 k=1 g=2 h=6 R20=51515151515151515140 APRCL main test (4 71) done: p=7 q=4201 k=1 g=11 h=6 R20=51515151515151515140 APRCL main test (4 73) done: p=7 q=6301 k=1 g=10 h=3 R20=1 APRCL main test (4 75) done: p=7 q=11551 k=1 g=7 h=4 R20=1 APRCL main test (4 76) done: p=7 q=12601 k=1 g=11 h=4 R20=1 APRCL main test (4 78) done: p=7 q=15401 k=1 g=6 h=2 R20=1 APRCL main test (4 82) done: p=7 q=673 k=1 g=5 h=3 R20=1 APRCL main test (4 83) done: p=7 q=2017 k=1 g=5 h=5 R20=1 APRCL main test (4 85) done: p=7 q=3361 k=1 g=22 h=1 R20=1 APRCL main test (4 87) done: p=7 q=7393 k=1 g=5 h=3 R20=1 APRCL main test (4 89) done: p=7 q=30241 k=1 g=11 h=4 R20=1 APRCL main test (4 96) done: p=7 q=547 k=1 g=2 h=6 R20=51515151515151515140 APRCL main test (4 98) done: p=7 q=911 k=1 g=17 h=5 R20=1 APRCL main test (4 100) done: p=7 q=1093 k=1 g=5 h=1 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=2 R20=55229420696469680769 APRCL main test (5 38) for p=11 q=67 not needed APRCL main test (5 39) done: p=11 q=89 k=1 g=3 h=4 R20=47739594423740550469 APRCL main test (5 40) done: p=11 q=199 k=1 g=3 h=2 R20=90429191718482218301 APRCL main test (5 41) done: p=11 q=331 k=1 g=3 h=7 R20=51758249822709230138 APRCL main test (5 42) done: p=11 q=397 k=1 g=5 h=5 R20=77494665924621727572 APRCL main test (5 43) done: p=11 q=463 k=1 g=3 h=8 R20=21679861174039679697 APRCL main test (5 44) done: p=11 q=617 k=1 g=3 h=2 R20=35965557379811438865 APRCL main test (5 45) done: p=11 q=661 k=1 g=2 h=6 R20=56966180784035049066 APRCL main test (5 46) done: p=11 q=881 k=1 g=3 h=9 R20=13169465994114280673 APRCL main test (5 47) done: p=11 q=991 k=1 g=6 h=10 R20=10011623811373288087 APRCL main test (5 48) done: p=11 q=1321 k=1 g=13 h=4 R20=8531315330797056519 APRCL main test (5 49) done: p=11 q=2311 k=1 g=3 h=8 R20=86109975129971151888 APRCL main test (5 50) done: p=11 q=2377 k=1 g=5 h=4 R20=65261518094397673868 APRCL main test (5 51) done: p=11 q=2971 k=1 g=10 h=9 R20=21837153671811086979 APRCL main test (5 52) done: p=11 q=3697 k=1 g=5 h=7 R20=24282573258892406361 APRCL main test (5 53) done: p=11 q=4159 k=1 g=3 h=5 R20=37505853227363552496 APRCL main test (5 54) done: p=11 q=4621 k=1 g=2 h=7 R20=76287186935573666673 APRCL main test (5 55) done: p=11 q=8317 k=1 g=6 h=6 R20=46287860116940217985 APRCL main test (5 56) done: p=11 q=9241 k=1 g=13 h=9 R20=86575078831141326817 APRCL main test (5 57) done: p=11 q=16633 k=1 g=15 h=10 R20=53878640226697088161 APRCL main test (5 58) done: p=11 q=18481 k=1 g=13 h=4 R20=1701875689307392193 APRCL main test (5 59) done: p=11 q=23761 k=1 g=7 h=9 R20=29776328618176210193 APRCL main test (5 69) done: p=11 q=3301 k=1 g=6 h=10 R20=1193502035813410181 APRCL main test (5 70) done: p=11 q=3851 k=1 g=2 h=10 R20=81989301388812071402 APRCL main test (5 72) done: p=11 q=4951 k=1 g=6 h=7 R20=54508835711681721792 APRCL main test (5 74) done: p=11 q=9901 k=1 g=2 h=3 R20=6644123126159046187 APRCL main test (5 75) done: p=11 q=11551 k=1 g=7 h=7 R20=93524313265454717712 APRCL main test (5 77) done: p=11 q=14851 k=1 g=2 h=2 R20=25158174907378629752 APRCL main test (5 78) done: p=11 q=15401 k=1 g=6 h=6 R20=45916749962018190500 APRCL main test (5 79) done: p=11 q=19801 k=1 g=13 h=3 R20=32754078561194053124 APRCL main test (5 81) done: p=11 q=353 k=1 g=3 h=9 R20=51708962883729903384 APRCL main test (5 84) done: p=11 q=3169 k=1 g=7 h=2 R20=51284321398906701310 APRCL main test (5 86) done: p=11 q=5281 k=1 g=7 h=2 R20=24788122796699432591 APRCL main test (5 87) done: p=11 q=7393 k=1 g=5 h=6 R20=20575845477501502626 APRCL main test (5 97) done: p=11 q=859 k=1 g=2 h=8 R20=12808333160257343505 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=12 R20=51515151515151515128 APRCL main test (6 91) done: p=13 q=79 k=1 g=3 h=2 R20=1 APRCL main test (6 92) done: p=13 q=131 k=1 g=2 h=0 R20=12 APRCL main test (6 93) done: p=13 q=157 k=1 g=5 h=11 R20=1 APRCL main test (6 94) done: p=13 q=313 k=1 g=10 h=11 R20=1 APRCL main test (6 95) done: p=13 q=521 k=1 g=3 h=0 R20=12 APRCL main test (6 96) done: p=13 q=547 k=1 g=2 h=4 R20=1 APRCL main test (6 97) done: p=13 q=859 k=1 g=2 h=8 R20=1 APRCL main test (6 98) done: p=13 q=911 k=1 g=17 h=10 R20=1 APRCL main test (6 99) done: p=13 q=937 k=1 g=5 h=5 R20=1 APRCL main test (6 100) done: p=13 q=1093 k=1 g=5 h=5 R20=1 APRCL tests for p=13 completed Main divisor test: F1=0.0230 F2=0.0135 G=0.5018 S=0.4654 T=21621600 G=13881723084622258987651078912756152714805876268333852681042668165821340172196092276219909630771686337417627450153265218230945936386284851962188014170216417567270529838849719690195441330611787692314564844187642306077120544941814593237036662531177900583714831912176530263371717082958101210531600 Parameters saved: 4 21621600 19925564 0 0 2 1801 Main divisor test passed: 21621600/21621600 *** N is prime! Time: 3728 sec
(15*10^1791-51)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=50*(10^1790-1)/33+1 [equals (15*10^1791-51)/99] N=151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151515151 Factor: 9091 divides N - 1 Factor: 35801 divides N - 1 Factor: 21206131 divides N - 1 Factor: 36558961 divides N - 1 Factor: 252812074841 divides N - 1 Factor: 4201521652717 divides N - 1 Factor: 352543640588653 divides N - 1 Factor: 6586348755220675329011 divides N - 1 Factor: 523661705392754764972834211810001059 divides N - 1 Factor: 571544047837540227171107263031017853607119654486278118381637405539602949994236278780111557713711574640626700398384915989416568503505447054089 divides N - 1 Factor: 17360270948380236765442123580448180934246742941840774929827069381097446101825710313953633305039247538221205037054245870292654737645806593390849 divides N - 1 Factor: 2 divides N - 1 Factor: 2^4 divides N + 1 Factor: 3 divides N - 1 Factor: 5^2 divides N - 1 Factor: 41 divides N - 1 Factor: 271 divides N - 1 Factor: 359 divides N - 1 Factor: 467 divides N + 1 Factorization results: F1=0.2297 F2=0.0022 F1=1934728386361076908379761187621473028428275988548920924242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242230769585606316551586266305480276939581414825387532150 F2=7472 Pass: gcd(3^((N-1)/9091) - 1, N) = 1: R20=83760292823931575155 Pass: 3^(N-1) = 1 (mod N): R20=1 Pass: gcd(3^((N-1)/35801) - 1, N) = 1: R20=15248806239887453289 Pass: gcd(3^((N-1)/21206131) - 1, N) = 1: R20=47802658686146670130 Pass: gcd(3^((N-1)/36558961) - 1, N) = 1: R20=33834651691376994569 Pass: gcd(3^((N-1)/252812074841) - 1, N) = 1: R20=15219802814161876429 Pass: gcd(3^((N-1)/4201521652717) - 1, N) = 1: R20=85346214814184032229 Pass: gcd(3^((N-1)/352543640588653) - 1, N) = 1: R20=97778676470444149682 Pass: gcd(3^((N-1)/6586348755220675329011) - 1, N) = 1: R20=20041002053675327070 Pass: gcd(3^((N-1)/523661705392754764972834211810001059) - 1, N) = 1: R20=98611121321543400963 Pass: gcd(3^((N-1)/571544047837540227171107263031017853607119654486278118381637405539602949994236278780111557713711574640626700398384915989416568503505447054089) - 1, N) = 1: R20=33638429450603962436 Pass: gcd(3^((N-1)/17360270948380236765442123580448180934246742941840774929827069381097446101825710313953633305039247538221205037054245870292654737645806593390849) - 1, N) = 1: R20=31856719890624391805 Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=51515151515151515149 Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=1 q=-3 R20=0 Pass: gcd(U{(N+1)/2}, N) = 1: d=13 p=3 q=-1 R20=13536557327810922765 Pass: U{N+1} = 0 (mod N): d=13 p=3 q=-1 R20=0 Pass: gcd(3^((N-1)/3) - 1, N) = 1: R20=9509249920028567168 Pass: gcd(3^((N-1)/5) - 1, N) = 1: R20=99668104191048073407 Pass: gcd(3^((N-1)/41) - 1, N) = 1: R20=96854064927287372685 Pass: gcd(3^((N-1)/271) - 1, N) = 1: R20=26083723706227113772 Pass: gcd(3^((N-1)/359) - 1, N) = 1: R20=90642617751540521526 Pass: gcd(U{(N+1)/467}, N) = 1: d=13 p=3 q=-1 R20=83517576314271681057 BLS tests passed: F1=0.2297 F2=0.0022 APRCL test T=21621600 S=15076387005468153824684874096146170993713575925704971472320545557764119201607455002233594074005664435536065348648934973179495178336336836580971465968719057978360313433522330792864730133884774227028410613177756915957409399459365941871251393137498068780096697152312464313286501042295524224705623019010586273234586134697397735339210680765869427282547145695189891422429752975875730428068900953022980768055289277295106114782060238755402585488200795877395542165255808120013178286519401499 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=1 R20=51515151515151515150 APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=2 R20=15151515151515151515 APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=1 R20=51515151515151515150 APRCL L_2 condition satisfied APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=1 R20=76116191500806885422 APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=0 R20=1 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=50793612013714136799 APRCL main test (1 9) done: p=2 q=19 k=1 g=2 h=0 R20=1 APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=0 R20=17925050357482789915 APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=2 R20=94633955932451094381 APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=3 R20=71631895650920621194 APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=1 R20=51515151515151515150 APRCL main test (1 14) done: p=2 q=71 k=1 g=7 h=1 R20=51515151515151515150 APRCL main test (1 15) done: p=2 q=127 k=1 g=3 h=0 R20=1 APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=1 R20=51515151515151515150 APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=3 R20=13331582592645213596 APRCL main test (1 18) done: p=2 q=631 k=1 g=3 h=0 R20=1 APRCL main test (1 19) for p=2 q=41 not needed APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=0 R20=6320708694770258437 APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=4 R20=8200324390877505156 APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=3 R20=51317510586579650028 APRCL main test (1 23) done: p=2 q=17 k=4 g=3 h=14 R20=56745143048340645328 APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=12 R20=19061013438657555259 APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=15 R20=21076266173895364747 APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=3 R20=55896548268389828226 APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=8 R20=14438824660834323550 APRCL main test (1 28) done: p=2 q=109 k=2 g=6 h=0 R20=42504329550874454502 APRCL main test (1 29) for p=2 q=271 not needed 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=1 R20=99399124784369631848 APRCL main test (1 32) done: p=2 q=541 k=2 g=2 h=1 R20=72032887600348419465 APRCL main test (1 33) done: p=2 q=757 k=2 g=2 h=3 R20=14040181766676359634 APRCL main test (1 34) done: p=2 q=2161 k=4 g=23 h=10 R20=23922145799323686948 APRCL main test (1 35) done: p=2 q=7561 k=3 g=13 h=4 R20=14198684627032931958 APRCL main test (1 36) done: p=2 q=15121 k=4 g=11 h=3 R20=87671188170963066017 APRCL main test (1 37) done: p=2 q=23 k=1 g=5 h=1 R20=51515151515151515150 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=7 R20=32243741789771811196 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=51515151515151515150 APRCL main test (1 42) done: p=2 q=397 k=2 g=5 h=1 R20=9893547457392161692 APRCL main test (1 43) done: p=2 q=463 k=1 g=3 h=1 R20=51515151515151515150 APRCL main test (1 44) done: p=2 q=617 k=3 g=3 h=6 R20=20821057167987542861 APRCL main test (1 45) done: p=2 q=661 k=2 g=2 h=1 R20=18279297838531658833 APRCL main test (1 46) done: p=2 q=881 k=4 g=3 h=11 R20=53938972054443217366 Parameters saved: 2 21621600 1 47 1 1 1818 APRCL main test (1 47) done: p=2 q=991 k=1 g=6 h=1 R20=51515151515151515150 APRCL main test (1 48) done: p=2 q=1321 k=3 g=13 h=1 R20=82785686789937722313 APRCL main test (1 49) done: p=2 q=2311 k=1 g=3 h=1 R20=51515151515151515150 APRCL main test (1 50) done: p=2 q=2377 k=3 g=5 h=1 R20=56956368670277469415 APRCL main test (1 51) done: p=2 q=2971 k=1 g=10 h=1 R20=51515151515151515150 APRCL main test (1 52) done: p=2 q=3697 k=4 g=5 h=1 R20=85183701437884330582 APRCL main test (1 53) done: p=2 q=4159 k=1 g=3 h=1 R20=51515151515151515150 APRCL main test (1 54) done: p=2 q=4621 k=2 g=2 h=1 R20=87441610145789728091 APRCL main test (1 55) done: p=2 q=8317 k=2 g=6 h=2 R20=30373149745510338173 APRCL main test (1 56) done: p=2 q=9241 k=3 g=13 h=6 R20=16983665167444120993 APRCL main test (1 57) done: p=2 q=16633 k=3 g=15 h=2 R20=64724030854934520917 APRCL main test (1 58) done: p=2 q=18481 k=4 g=13 h=1 R20=42476688157460133158 APRCL main test (1 59) done: p=2 q=23761 k=4 g=7 h=1 R20=32378812380747672101 APRCL main test (1 60) done: p=2 q=55441 k=4 g=38 h=3 R20=62142669593840376242 APRCL main test (1 61) done: p=2 q=101 k=2 g=2 h=3 R20=16999818793760564175 APRCL main test (1 62) done: p=2 q=151 k=1 g=6 h=1 R20=51515151515151515150 APRCL main test (1 63) done: p=2 q=401 k=4 g=3 h=1 R20=56149644890849975049 APRCL main test (1 64) done: p=2 q=601 k=3 g=7 h=7 R20=90148533302990371267 APRCL main test (1 65) done: p=2 q=701 k=2 g=2 h=1 R20=4144686376916266558 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=5 R20=47486083069904202438 APRCL main test (1 68) done: p=2 q=1801 k=3 g=11 h=3 R20=15978343816387575566 APRCL main test (1 69) done: p=2 q=2801 k=4 g=3 h=14 R20=76191350919681531004 APRCL main test (1 70) done: p=2 q=3301 k=2 g=6 h=3 R20=10683180985158638557 APRCL main test (1 71) done: p=2 q=3851 k=1 g=2 h=1 R20=51515151515151515150 APRCL main test (1 72) done: p=2 q=4201 k=3 g=11 h=6 R20=978064005153987919 APRCL main test (1 73) done: p=2 q=4951 k=1 g=6 h=1 R20=51515151515151515150 APRCL main test (1 74) done: p=2 q=6301 k=2 g=10 h=0 R20=12316714082497639096 APRCL main test (1 75) done: p=2 q=9901 k=2 g=2 h=0 R20=34538418361043891009 APRCL main test (1 76) done: p=2 q=11551 k=1 g=7 h=1 R20=51515151515151515150 APRCL main test (1 77) done: p=2 q=12601 k=3 g=11 h=3 R20=49887626283862334264 APRCL main test (1 78) done: p=2 q=14851 k=1 g=2 h=0 R20=1 APRCL main test (1 79) done: p=2 q=15401 k=3 g=6 h=5 R20=90603527807190862864 APRCL main test (1 80) done: p=2 q=19801 k=3 g=13 h=1 R20=68676319065443563130 APRCL main test (1 81) done: p=2 q=34651 k=1 g=2 h=1 R20=51515151515151515150 APRCL main test (1 82) done: p=2 q=92401 k=4 g=34 h=1 R20=36425227865038608308 APRCL main test (1 83) done: p=2 q=103951 k=1 g=6 h=1 R20=51515151515151515150 APRCL main test (1 84) done: p=2 q=118801 k=4 g=17 h=13 R20=47487142479555248719 Parameters saved: 2 21621600 1 85 1 2 1895 APRCL main test (1 85) done: p=2 q=415801 k=3 g=31 h=6 R20=3361214208063923857 APRCL main test (1 86) done: p=2 q=97 k=5 g=5 h=30 R20=69832953478890059938 APRCL main test (1 87) done: p=2 q=353 k=5 g=3 h=4 R20=44596682070475749560 APRCL main test (1 88) done: p=2 q=673 k=5 g=5 h=6 R20=45021381829124381218 Parameters saved: 2 21621600 1 89 1 3 1907 APRCL main test (1 89) done: p=2 q=2017 k=5 g=5 h=21 R20=27794349564914058318 APRCL main test (1 90) done: p=2 q=3169 k=5 g=7 h=26 R20=82557864564709878640 APRCL main test (1 91) done: p=2 q=3361 k=5 g=22 h=26 R20=76788020353464714756 APRCL main test (1 92) done: p=2 q=5281 k=5 g=7 h=26 R20=65863901083826900729 Parameters saved: 2 21621600 1 93 1 4 2412 APRCL main test (1 93) done: p=2 q=7393 k=5 g=5 h=8 R20=18794933316696447299 APRCL main test (1 94) done: p=2 q=21601 k=5 g=7 h=29 R20=56206891612501310980 APRCL main test (1 95) done: p=2 q=30241 k=5 g=11 h=24 R20=31093636278575171588 Parameters saved: 2 21621600 1 96 1 5 1866 APRCL main test (1 96) done: p=2 q=47521 k=5 g=17 h=13 R20=24525929325741581110 APRCL main test (1 97) done: p=2 q=66529 k=5 g=19 h=22 R20=20859792025453587858 APRCL main test (1 98) done: p=2 q=79201 k=5 g=13 h=0 R20=43698492200806582508 Parameters saved: 2 21621600 1 99 1 6 1904 APRCL main test (1 99) done: p=2 q=110881 k=5 g=69 h=19 R20=25482352889321817172 APRCL main test (1 100) done: p=2 q=151201 k=5 g=17 h=24 R20=28637467612070925497 APRCL main test (1 101) done: p=2 q=332641 k=5 g=19 h=12 R20=43542789644369870428 Parameters saved: 2 21621600 1 102 1 7 1988 APRCL main test (1 102) done: p=2 q=53 k=2 g=2 h=2 R20=27429150889457048232 APRCL main test (1 103) done: p=2 q=79 k=1 g=3 h=1 R20=51515151515151515150 APRCL main test (1 104) done: p=2 q=131 k=1 g=2 h=1 R20=51515151515151515150 APRCL main test (1 105) done: p=2 q=157 k=2 g=5 h=0 R20=59036017196591662087 APRCL main test (1 106) done: p=2 q=313 k=3 g=10 h=2 R20=64333808257950252072 APRCL main test (1 107) done: p=2 q=521 k=3 g=3 h=7 R20=98021289418811832044 APRCL main test (1 108) done: p=2 q=547 k=1 g=2 h=0 R20=1 APRCL main test (1 109) done: p=2 q=859 k=1 g=2 h=1 R20=51515151515151515150 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=2 R20=19443065832530689054 APRCL main test (1 112) done: p=2 q=1093 k=2 g=5 h=3 R20=6172887043251476654 APRCL main test (1 113) done: p=2 q=1171 k=1 g=2 h=0 R20=1 APRCL main test (1 114) done: p=2 q=1249 k=5 g=7 h=20 R20=48885373681631132495 APRCL main test (1 115) done: p=2 q=1301 k=2 g=2 h=0 R20=39485168899011854321 APRCL main test (1 116) done: p=2 q=1873 k=4 g=10 h=8 R20=21177805922367093448 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=51515151515151515150 APRCL main test (1 119) done: p=2 q=2081 k=5 g=3 h=16 R20=87757547255742333468 APRCL main test (1 120) done: p=2 q=2341 k=2 g=7 h=3 R20=59562081291861206431 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=0 R20=68813327633403229705 APRCL main test (1 123) done: p=2 q=3121 k=4 g=7 h=0 R20=85275736840011200766 APRCL main test (1 124) done: p=2 q=3433 k=3 g=5 h=7 R20=35247009747568720495 APRCL main test (1 125) done: p=2 q=3511 k=1 g=7 h=1 R20=51515151515151515150 APRCL main test (1 126) done: p=2 q=5851 k=1 g=2 h=1 R20=51515151515151515150 APRCL main test (1 127) done: p=2 q=6007 k=1 g=3 h=1 R20=51515151515151515150 APRCL main test (1 128) done: p=2 q=6553 k=3 g=10 h=7 R20=70668675058457208502 Parameters saved: 2 21621600 1 129 1 8 1845 APRCL main test (1 129) done: p=2 q=7151 k=1 g=7 h=1 R20=51515151515151515150 APRCL main test (1 130) done: p=2 q=7723 k=1 g=3 h=1 R20=51515151515151515150 APRCL main test (1 131) done: p=2 q=8009 k=3 g=3 h=1 R20=93227354711079316098 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=1 R20=87164388013479095737 APRCL main test (1 134) done: p=2 q=8737 k=5 g=5 h=14 R20=62369610139330450068 APRCL main test (1 135) done: p=2 q=9829 k=2 g=10 h=2 R20=62492181009449973399 APRCL main test (1 136) done: p=2 q=11701 k=2 g=6 h=1 R20=47186271813855931790 APRCL main test (1 137) done: p=2 q=13729 k=5 g=23 h=24 R20=90846264906707535026 APRCL main test (1 138) done: p=2 q=14561 k=5 g=6 h=8 R20=57217445465457602395 Parameters saved: 2 21621600 1 139 1 9 2076 APRCL main test (1 139) done: p=2 q=15601 k=4 g=23 h=3 R20=71573772471888532319 APRCL main test (1 140) done: p=2 q=16381 k=2 g=2 h=0 R20=81788408736389303270 APRCL main test (1 141) done: p=2 q=17551 k=1 g=3 h=1 R20=51515151515151515150 APRCL main test (1 142) done: p=2 q=20021 k=2 g=3 h=2 R20=25500757340454622895 APRCL main test (1 143) done: p=2 q=20593 k=4 g=5 h=5 R20=16890624358990134846 APRCL main test (1 144) done: p=2 q=21841 k=4 g=11 h=7 R20=97867806034231806861 APRCL main test (1 145) done: p=2 q=24571 k=1 g=7 h=1 R20=51515151515151515150 APRCL main test (1 146) done: p=2 q=25741 k=2 g=6 h=0 R20=15943129247833635131 APRCL main test (1 147) done: p=2 q=26209 k=5 g=11 h=12 R20=27608867124166925072 APRCL main test (1 148) done: p=2 q=28081 k=4 g=19 h=12 R20=73041008414489200159 APRCL main test (1 149) done: p=2 q=36037 k=2 g=2 h=3 R20=66126066861502734976 APRCL main test (1 150) done: p=2 q=38611 k=1 g=3 h=1 R20=51515151515151515150 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=1 R20=1 APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=0 R20=2 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=51515151515151515148 APRCL main test (2 9) done: p=3 q=19 k=2 g=2 h=6 R20=53908981065755200608 APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=8 R20=63531804836403077017 APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=3 R20=83745017222855900297 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=6 R20=81462921811988769328 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=51515151515151515148 APRCL main test (2 18) done: p=3 q=631 k=2 g=3 h=8 R20=87225471076682544073 APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=1 R20=54852020893764474862 APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=6 R20=52821002217165744516 Parameters saved: 2 21621600 2 25 1 10 1859 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=3 R20=48246508087083481496 APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=6 R20=16156576721595911655 APRCL main test (2 29) for p=3 q=271 not needed APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=17 R20=13130937910281783478 APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=21 R20=25007749984871751168 Parameters saved: 2 21621600 2 32 1 11 2285 APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=3 R20=62341141719617820455 APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=0 R20=50291992112796144594 APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=11 R20=78008902833809890449 Parameters saved: 2 21621600 2 35 1 12 2282 APRCL main test (2 35) done: p=3 q=7561 k=3 g=13 h=24 R20=79480776755346437567 APRCL main test (2 36) done: p=3 q=15121 k=3 g=11 h=13 R20=73639416180115640616 APRCL main test (2 38) done: p=3 q=67 k=1 g=2 h=2 R20=51515151515151515148 APRCL main test (2 40) done: p=3 q=199 k=2 g=3 h=8 R20=89504778346458726837 APRCL main test (2 41) done: p=3 q=331 k=1 g=3 h=2 R20=51515151515151515148 APRCL main test (2 42) done: p=3 q=397 k=2 g=5 h=5 R20=31835810281643746484 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=0 R20=2 APRCL main test (2 47) done: p=3 q=991 k=2 g=6 h=4 R20=96198656636453640390 APRCL main test (2 48) done: p=3 q=1321 k=1 g=13 h=2 R20=51515151515151515148 APRCL main test (2 49) done: p=3 q=2311 k=1 g=3 h=1 R20=1 APRCL main test (2 50) done: p=3 q=2377 k=3 g=5 h=26 R20=32011693767680525009 Parameters saved: 2 21621600 2 51 1 13 2479 APRCL main test (2 51) done: p=3 q=2971 k=3 g=10 h=22 R20=6249412259221804120 APRCL main test (2 52) done: p=3 q=3697 k=1 g=5 h=1 R20=1 APRCL main test (2 53) done: p=3 q=4159 k=3 g=3 h=25 R20=87906476294640716343 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=12 R20=40127688057397175857 Parameters saved: 2 21621600 2 56 1 14 2283 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=10 R20=8655554133249188486 APRCL main test (2 58) done: p=3 q=18481 k=1 g=13 h=2 R20=51515151515151515148 APRCL main test (2 59) done: p=3 q=23761 k=3 g=7 h=10 R20=25476869409457945695 APRCL main test (2 60) done: p=3 q=55441 k=2 g=38 h=8 R20=57168043511450193098 APRCL main test (2 62) done: p=3 q=151 k=1 g=6 h=2 R20=51515151515151515148 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=51515151515151515148 APRCL main test (2 67) done: p=3 q=1201 k=1 g=11 h=0 R20=2 APRCL main test (2 68) done: p=3 q=1801 k=2 g=11 h=0 R20=51642169503490478490 APRCL main test (2 70) done: p=3 q=3301 k=1 g=6 h=2 R20=51515151515151515148 APRCL main test (2 72) done: p=3 q=4201 k=1 g=11 h=0 R20=2 APRCL main test (2 73) done: p=3 q=4951 k=2 g=6 h=7 R20=41514365928755349961 APRCL main test (2 74) done: p=3 q=6301 k=2 g=10 h=6 R20=23753051734523216020 Parameters saved: 2 21621600 2 75 1 15 1854 APRCL main test (2 75) done: p=3 q=9901 k=2 g=2 h=8 R20=97606771766059790259 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=3 R20=71713382163196847953 APRCL main test (2 78) done: p=3 q=14851 k=3 g=2 h=24 R20=40025132410669346654 APRCL main test (2 80) done: p=3 q=19801 k=2 g=13 h=4 R20=86052188272210059269 APRCL main test (2 81) done: p=3 q=34651 k=2 g=2 h=1 R20=78599899465629541904 APRCL main test (2 82) done: p=3 q=92401 k=1 g=34 h=2 R20=51515151515151515148 APRCL main test (2 83) done: p=3 q=103951 k=3 g=6 h=6 R20=42041231657290505278 Parameters saved: 2 21621600 2 84 1 16 1837 APRCL main test (2 84) done: p=3 q=118801 k=3 g=17 h=8 R20=10991414636680513330 APRCL main test (2 85) done: p=3 q=415801 k=3 g=31 h=22 R20=66199067524005437667 APRCL main test (2 86) done: p=3 q=97 k=1 g=5 h=2 R20=51515151515151515148 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=4 R20=98572594604732233146 Parameters saved: 2 21621600 2 90 1 17 1819 APRCL main test (2 90) done: p=3 q=3169 k=2 g=7 h=1 R20=32057352041510109078 APRCL main test (2 91) done: p=3 q=3361 k=1 g=22 h=2 R20=51515151515151515148 APRCL main test (2 92) done: p=3 q=5281 k=1 g=7 h=0 R20=2 APRCL main test (2 93) done: p=3 q=7393 k=1 g=5 h=0 R20=2 APRCL main test (2 94) done: p=3 q=21601 k=3 g=7 h=15 R20=17230054161943345086 APRCL main test (2 95) done: p=3 q=30241 k=3 g=11 h=23 R20=73596010079650458880 APRCL main test (2 96) done: p=3 q=47521 k=3 g=17 h=17 R20=64621200912092909919 Parameters saved: 2 21621600 2 97 1 18 2329 APRCL main test (2 97) done: p=3 q=66529 k=3 g=19 h=15 R20=65144363648957367842 APRCL main test (2 98) done: p=3 q=79201 k=2 g=13 h=7 R20=33929869104156790227 APRCL main test (2 99) done: p=3 q=110881 k=2 g=69 h=4 R20=6490113310438832662 APRCL main test (2 100) done: p=3 q=151201 k=3 g=17 h=14 R20=43485597871863635092 APRCL main test (2 101) done: p=3 q=332641 k=3 g=19 h=25 R20=40373226492757329457 Parameters saved: 2 21621600 2 103 1 19 2483 APRCL main test (2 103) done: p=3 q=79 k=1 g=3 h=0 R20=2 APRCL main test (2 105) done: p=3 q=157 k=1 g=5 h=1 R20=1 APRCL main test (2 106) done: p=3 q=313 k=1 g=10 h=2 R20=51515151515151515148 APRCL main test (2 108) done: p=3 q=547 k=1 g=2 h=2 R20=51515151515151515148 APRCL main test (2 109) done: p=3 q=859 k=1 g=2 h=2 R20=51515151515151515148 APRCL main test (2 111) done: p=3 q=937 k=2 g=5 h=8 R20=47538552064305357514 APRCL main test (2 112) done: p=3 q=1093 k=1 g=5 h=2 R20=51515151515151515148 APRCL main test (2 113) done: p=3 q=1171 k=2 g=2 h=4 R20=10859159384326203953 APRCL main test (2 114) done: p=3 q=1249 k=1 g=7 h=2 R20=51515151515151515148 APRCL main test (2 116) done: p=3 q=1873 k=2 g=10 h=5 R20=25848870104427341202 APRCL main test (2 117) done: p=3 q=1951 k=1 g=3 h=1 R20=1 APRCL main test (2 120) done: p=3 q=2341 k=2 g=7 h=5 R20=47701728773472842103 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=0 R20=2 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=10 R20=43941005230611710779 APRCL main test (2 126) done: p=3 q=5851 k=2 g=2 h=7 R20=49507343012721728328 APRCL main test (2 127) done: p=3 q=6007 k=1 g=3 h=2 R20=51515151515151515148 APRCL main test (2 128) done: p=3 q=6553 k=2 g=10 h=3 R20=7096777217523027941 APRCL main test (2 130) done: p=3 q=7723 k=3 g=3 h=4 R20=18152750457158598071 Parameters saved: 2 21621600 2 132 1 20 1954 APRCL main test (2 132) done: p=3 q=8191 k=2 g=17 h=4 R20=3763428368417162502 APRCL main test (2 133) done: p=3 q=8581 k=1 g=6 h=2 R20=51515151515151515148 APRCL main test (2 134) done: p=3 q=8737 k=1 g=5 h=1 R20=1 APRCL main test (2 135) done: p=3 q=9829 k=3 g=10 h=15 R20=36621247345858673777 APRCL main test (2 136) done: p=3 q=11701 k=2 g=6 h=0 R20=92289718861109361486 APRCL main test (2 137) done: p=3 q=13729 k=1 g=23 h=1 R20=1 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=5 R20=57811102544648444814 APRCL main test (2 141) done: p=3 q=17551 k=3 g=3 h=18 R20=64746578611374214703 APRCL main test (2 143) done: p=3 q=20593 k=2 g=5 h=5 R20=71954226187107346265 APRCL main test (2 144) done: p=3 q=21841 k=1 g=11 h=2 R20=51515151515151515148 APRCL main test (2 145) done: p=3 q=24571 k=3 g=7 h=23 R20=47734448183339470311 Parameters saved: 2 21621600 2 146 1 21 2516 APRCL main test (2 146) done: p=3 q=25741 k=2 g=6 h=0 R20=90269347079257481040 APRCL main test (2 147) done: p=3 q=26209 k=2 g=11 h=2 R20=20431297255944645094 APRCL main test (2 148) done: p=3 q=28081 k=3 g=19 h=9 R20=31549502153357289643 APRCL main test (2 149) done: p=3 q=36037 k=2 g=2 h=4 R20=46614726879376236694 APRCL main test (2 150) done: p=3 q=38611 k=3 g=3 h=15 R20=81538950729231376544 APRCL tests for p=3 completed APRCL main test (3) at level 11 for p=5 Parameters saved: 2 21621600 3 6 0 22 1833 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=1 R20=1 APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=4 R20=51515151515151515144 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=0 R20=4 APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=0 R20=4 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=3 R20=1 APRCL main test (3 19) for p=5 q=41 not needed APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=4 R20=51515151515151515144 APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=2 R20=1 APRCL main test (3 25) done: p=5 q=241 k=1 g=7 h=4 R20=51515151515151515144 APRCL main test (3 29) for p=5 q=271 not needed 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=1 R20=1 APRCL main test (3 35) done: p=5 q=7561 k=1 g=13 h=4 R20=51515151515151515144 APRCL main test (3 36) done: p=5 q=15121 k=1 g=11 h=4 R20=51515151515151515144 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=2 R20=1 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=4 R20=51515151515151515144 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=2 R20=1 APRCL main test (3 54) done: p=5 q=4621 k=1 g=2 h=2 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=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=55441 k=1 g=38 h=3 R20=1 APRCL main test (3 61) done: p=5 q=101 k=2 g=2 h=11 R20=0 APRCL main test (3 62) done: p=5 q=151 k=2 g=6 h=23 R20=0 Parameters saved: 2 21621600 3 63 1 23 2540 APRCL main test (3 63) done: p=5 q=401 k=2 g=3 h=21 R20=0 APRCL main test (3 64) done: p=5 q=601 k=2 g=7 h=0 R20=20 APRCL main test (3 65) done: p=5 q=701 k=2 g=2 h=18 R20=0 Parameters saved: 2 21621600 3 66 1 24 2554 APRCL main test (3 66) done: p=5 q=1051 k=2 g=7 h=6 R20=0 APRCL main test (3 67) done: p=5 q=1201 k=2 g=11 h=8 R20=0 Parameters saved: 2 21621600 3 68 1 25 1886 APRCL main test (3 68) done: p=5 q=1801 k=2 g=11 h=17 R20=0 APRCL main test (3 69) done: p=5 q=2801 k=2 g=3 h=23 R20=0 APRCL main test (3 70) done: p=5 q=3301 k=2 g=6 h=21 R20=0 Parameters saved: 2 21621600 3 71 1 26 2642 APRCL main test (3 71) done: p=5 q=3851 k=2 g=2 h=4 R20=0 APRCL main test (3 72) done: p=5 q=4201 k=2 g=11 h=9 R20=0 APRCL main test (3 73) done: p=5 q=4951 k=2 g=6 h=0 R20=20 Parameters saved: 2 21621600 3 74 1 27 2704 APRCL main test (3 74) done: p=5 q=6301 k=2 g=10 h=0 R20=20 APRCL main test (3 75) done: p=5 q=9901 k=2 g=2 h=18 R20=0 Parameters saved: 2 21621600 3 76 1 28 1904 APRCL main test (3 76) done: p=5 q=11551 k=2 g=7 h=1 R20=0 APRCL main test (3 77) done: p=5 q=12601 k=2 g=11 h=0 R20=20 Parameters saved: 2 21621600 3 78 1 29 1830 APRCL main test (3 78) done: p=5 q=14851 k=2 g=2 h=10 R20=1 APRCL main test (3 79) done: p=5 q=15401 k=2 g=6 h=22 R20=0 APRCL main test (3 80) done: p=5 q=19801 k=2 g=13 h=3 R20=0 Parameters saved: 2 21621600 3 81 1 30 2735 APRCL main test (3 81) done: p=5 q=34651 k=2 g=2 h=19 R20=0 APRCL main test (3 82) done: p=5 q=92401 k=2 g=34 h=21 R20=0 APRCL main test (3 83) done: p=5 q=103951 k=2 g=6 h=7 R20=0 Parameters saved: 2 21621600 3 84 1 31 2694 APRCL main test (3 84) done: p=5 q=118801 k=2 g=17 h=9 R20=0 APRCL main test (3 85) done: p=5 q=415801 k=2 g=31 h=19 R20=0 Parameters saved: 2 21621600 3 91 1 32 1898 APRCL main test (3 91) done: p=5 q=3361 k=1 g=22 h=1 R20=1 APRCL main test (3 92) done: p=5 q=5281 k=1 g=7 h=0 R20=4 APRCL main test (3 94) done: p=5 q=21601 k=2 g=7 h=13 R20=0 APRCL main test (3 95) done: p=5 q=30241 k=1 g=11 h=1 R20=1 APRCL main test (3 96) done: p=5 q=47521 k=1 g=17 h=3 R20=1 APRCL main test (3 98) done: p=5 q=79201 k=2 g=13 h=14 R20=0 Parameters saved: 2 21621600 3 99 1 33 1944 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=10 R20=1 APRCL main test (3 101) done: p=5 q=332641 k=1 g=19 h=3 R20=1 APRCL main test (3 104) done: p=5 q=131 k=1 g=2 h=2 R20=1 APRCL main test (3 107) done: p=5 q=521 k=1 g=3 h=0 R20=4 APRCL main test (3 110) done: p=5 q=911 k=1 g=17 h=0 R20=4 APRCL main test (3 113) done: p=5 q=1171 k=1 g=2 h=2 R20=1 APRCL main test (3 115) done: p=5 q=1301 k=2 g=2 h=13 R20=0 Parameters saved: 2 21621600 3 117 1 34 2050 APRCL main test (3 117) done: p=5 q=1951 k=2 g=3 h=19 R20=0 APRCL main test (3 119) done: p=5 q=2081 k=1 g=3 h=4 R20=51515151515151515144 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=1 R20=1 APRCL main test (3 122) done: p=5 q=2861 k=1 g=2 h=2 R20=1 APRCL main test (3 123) done: p=5 q=3121 k=1 g=7 h=2 R20=1 APRCL main test (3 125) done: p=5 q=3511 k=1 g=7 h=2 R20=1 APRCL main test (3 126) done: p=5 q=5851 k=2 g=2 h=19 R20=0 Parameters saved: 2 21621600 3 129 1 35 1916 APRCL main test (3 129) done: p=5 q=7151 k=2 g=7 h=10 R20=1 APRCL main test (3 132) done: p=5 q=8191 k=1 g=17 h=1 R20=1 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=21 R20=0 APRCL main test (3 138) done: p=5 q=14561 k=1 g=6 h=3 R20=1 Parameters saved: 2 21621600 3 139 1 36 1801 APRCL main test (3 139) done: p=5 q=15601 k=2 g=23 h=9 R20=0 APRCL main test (3 140) done: p=5 q=16381 k=1 g=2 h=2 R20=1 APRCL main test (3 141) done: p=5 q=17551 k=2 g=3 h=21 R20=0 APRCL main test (3 142) done: p=5 q=20021 k=1 g=3 h=4 R20=51515151515151515144 APRCL main test (3 144) done: p=5 q=21841 k=1 g=11 h=0 R20=4 Parameters saved: 2 21621600 3 145 1 37 1824 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=3 R20=1 APRCL main test (3 148) done: p=5 q=28081 k=1 g=19 h=4 R20=51515151515151515144 APRCL main test (3 150) done: p=5 q=38611 k=1 g=3 h=1 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=72973272322743762481 APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=1 R20=38990662345459662487 APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=4 R20=5666737872105343525 APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=6 R20=68324558863365637533 APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=6 R20=58267013320480203047 APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=3 R20=80842992441463507947 APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=2 R20=40487890907207773917 APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=2 R20=60440212546947122410 APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=1 R20=16285738860404470303 APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=3 R20=17093970414354963976 APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=6 R20=76803587015273592945 APRCL main test (4 27) done: p=7 q=1009 k=1 g=11 h=5 R20=32150066036670886219 APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=5 R20=43072344115700482666 APRCL main test (4 33) done: p=7 q=757 k=1 g=2 h=0 R20=74085329377798147112 APRCL main test (4 35) done: p=7 q=7561 k=1 g=13 h=2 R20=24797001067883262001 APRCL main test (4 36) done: p=7 q=15121 k=1 g=11 h=2 R20=14967370444463321909 APRCL main test (4 43) done: p=7 q=463 k=1 g=3 h=3 R20=82869860604207900582 APRCL main test (4 44) done: p=7 q=617 k=1 g=3 h=6 R20=42416887141874661656 APRCL main test (4 49) done: p=7 q=2311 k=1 g=3 h=0 R20=26733771250294228857 APRCL main test (4 52) done: p=7 q=3697 k=1 g=5 h=6 R20=49645350732103894604 APRCL main test (4 53) done: p=7 q=4159 k=1 g=3 h=1 R20=82694696425153564823 APRCL main test (4 54) done: p=7 q=4621 k=1 g=2 h=0 R20=1017682226295607549 APRCL main test (4 55) done: p=7 q=8317 k=1 g=6 h=1 R20=78295541908701225616 Parameters saved: 2 21621600 4 56 1 38 1811 APRCL main test (4 56) done: p=7 q=9241 k=1 g=13 h=1 R20=6889230488243143468 APRCL main test (4 57) done: p=7 q=16633 k=1 g=15 h=0 R20=19502394048610103513 APRCL main test (4 58) done: p=7 q=18481 k=1 g=13 h=4 R20=60371656573513874680 APRCL main test (4 60) done: p=7 q=55441 k=1 g=38 h=2 R20=34358897442345264171 APRCL main test (4 65) done: p=7 q=701 k=1 g=2 h=6 R20=74921801600977431247 APRCL main test (4 66) done: p=7 q=1051 k=1 g=7 h=5 R20=19804795846344491540 APRCL main test (4 69) done: p=7 q=2801 k=1 g=3 h=2 R20=4190136772540700227 APRCL main test (4 71) done: p=7 q=3851 k=1 g=2 h=1 R20=60390914439143951714 APRCL main test (4 72) done: p=7 q=4201 k=1 g=11 h=3 R20=22267967255393637791 APRCL main test (4 74) done: p=7 q=6301 k=1 g=10 h=4 R20=98260306372494129465 APRCL main test (4 76) done: p=7 q=11551 k=1 g=7 h=5 R20=7946990093229777619 APRCL main test (4 77) done: p=7 q=12601 k=1 g=11 h=6 R20=66264010890484956575 APRCL main test (4 79) done: p=7 q=15401 k=1 g=6 h=2 R20=5244154387149989909 APRCL main test (4 81) done: p=7 q=34651 k=1 g=2 h=3 R20=41315366529492418923 APRCL main test (4 82) done: p=7 q=92401 k=1 g=34 h=2 R20=8324845448007244101 APRCL main test (4 83) done: p=7 q=103951 k=1 g=6 h=3 R20=43556559577653794492 APRCL main test (4 85) done: p=7 q=415801 k=1 g=31 h=0 R20=59476978085274974317 APRCL main test (4 88) done: p=7 q=673 k=1 g=5 h=0 R20=17814822734337770435 APRCL main test (4 89) done: p=7 q=2017 k=1 g=5 h=3 R20=59889874153252245349 APRCL main test (4 91) done: p=7 q=3361 k=1 g=22 h=2 R20=69906501763217343035 APRCL main test (4 93) done: p=7 q=7393 k=1 g=5 h=6 R20=96119365355323591999 APRCL main test (4 95) done: p=7 q=30241 k=1 g=11 h=2 R20=88405243393352972881 APRCL main test (4 97) done: p=7 q=66529 k=1 g=19 h=5 R20=80651219054460068779 APRCL main test (4 99) done: p=7 q=110881 k=1 g=69 h=5 R20=51473534136076910462 APRCL main test (4 100) done: p=7 q=151201 k=1 g=17 h=4 R20=23073967486285668086 APRCL main test (4 101) done: p=7 q=332641 k=1 g=19 h=5 R20=13418510455116959427 Parameters saved: 2 21621600 4 108 1 39 1864 APRCL main test (4 108) done: p=7 q=547 k=1 g=2 h=2 R20=98848885917918593922 APRCL main test (4 110) done: p=7 q=911 k=1 g=17 h=1 R20=78465307241554844959 APRCL main test (4 112) done: p=7 q=1093 k=1 g=5 h=4 R20=39433750981329319847 APRCL main test (4 118) done: p=7 q=2003 k=1 g=5 h=3 R20=12064419385673369322 APRCL main test (4 121) done: p=7 q=2731 k=1 g=3 h=3 R20=85567371776408906445 APRCL main test (4 127) done: p=7 q=6007 k=1 g=3 h=1 R20=97184629819509226019 APRCL main test (4 128) done: p=7 q=6553 k=1 g=10 h=4 R20=88007201335682310276 APRCL main test (4 131) done: p=7 q=8009 k=1 g=3 h=3 R20=15275957644468007832 APRCL main test (4 132) done: p=7 q=8191 k=1 g=17 h=1 R20=58329868213391065485 APRCL main test (4 134) done: p=7 q=8737 k=1 g=5 h=1 R20=80177150559522479610 APRCL main test (4 135) done: p=7 q=9829 k=1 g=10 h=3 R20=12343017872688549002 APRCL main test (4 138) done: p=7 q=14561 k=1 g=6 h=1 R20=81048091631657309265 APRCL main test (4 140) done: p=7 q=16381 k=1 g=2 h=0 R20=8885243892603085552 APRCL main test (4 142) done: p=7 q=20021 k=1 g=3 h=3 R20=16200970553065675667 APRCL main test (4 144) done: p=7 q=21841 k=1 g=11 h=0 R20=62099257912770399704 APRCL main test (4 145) done: p=7 q=24571 k=1 g=7 h=6 R20=20788495990192337189 APRCL main test (4 147) done: p=7 q=26209 k=1 g=11 h=2 R20=68394052917463091837 APRCL main test (4 149) done: p=7 q=36037 k=1 g=2 h=5 R20=73495195126843278146 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=5 R20=89029597900567949073 APRCL main test (5 38) done: p=11 q=67 k=1 g=2 h=6 R20=7250884679819911310 APRCL main test (5 39) done: p=11 q=89 k=1 g=3 h=3 R20=99476348167717963443 Parameters saved: 2 21621600 5 40 1 40 1863 APRCL main test (5 40) done: p=11 q=199 k=1 g=3 h=4 R20=13302287930995030033 APRCL main test (5 41) done: p=11 q=331 k=1 g=3 h=10 R20=72493581057395943742 APRCL main test (5 42) done: p=11 q=397 k=1 g=5 h=1 R20=40342589372269078670 APRCL main test (5 43) done: p=11 q=463 k=1 g=3 h=7 R20=76280080458806281056 APRCL main test (5 44) done: p=11 q=617 k=1 g=3 h=7 R20=90124460600433682594 APRCL main test (5 45) done: p=11 q=661 k=1 g=2 h=4 R20=52004579379702885470 APRCL main test (5 46) done: p=11 q=881 k=1 g=3 h=3 R20=43086750519405324145 APRCL main test (5 47) done: p=11 q=991 k=1 g=6 h=3 R20=5945592812596439920 Parameters saved: 2 21621600 5 48 1 41 1825 APRCL main test (5 48) done: p=11 q=1321 k=1 g=13 h=4 R20=46032052987188963882 APRCL main test (5 49) done: p=11 q=2311 k=1 g=3 h=1 R20=1262266778137862574 APRCL main test (5 50) done: p=11 q=2377 k=1 g=5 h=3 R20=56049855615947574533 APRCL main test (5 51) done: p=11 q=2971 k=1 g=10 h=7 R20=6401962526279864624 APRCL main test (5 52) done: p=11 q=3697 k=1 g=5 h=4 R20=21173372897777668604 APRCL main test (5 53) done: p=11 q=4159 k=1 g=3 h=10 R20=89425908351676975761 APRCL main test (5 54) done: p=11 q=4621 k=1 g=2 h=9 R20=79947000621142257124 APRCL main test (5 55) done: p=11 q=8317 k=1 g=6 h=10 R20=63629629488922043703 APRCL main test (5 56) done: p=11 q=9241 k=1 g=13 h=3 R20=20402116015629313610 Parameters saved: 2 21621600 5 57 1 42 1839 APRCL main test (5 57) done: p=11 q=16633 k=1 g=15 h=5 R20=44143019785371001359 APRCL main test (5 58) done: p=11 q=18481 k=1 g=13 h=4 R20=85906807761087154429 APRCL main test (5 59) done: p=11 q=23761 k=1 g=7 h=3 R20=77099160584901520634 APRCL main test (5 60) done: p=11 q=55441 k=1 g=38 h=5 R20=92759189597168956296 APRCL main test (5 70) done: p=11 q=3301 k=1 g=6 h=10 R20=20971650399923137125 APRCL main test (5 71) done: p=11 q=3851 k=1 g=2 h=8 R20=16844803954245419133 APRCL main test (5 73) done: p=11 q=4951 k=1 g=6 h=2 R20=71637202393086605379 APRCL main test (5 75) done: p=11 q=9901 k=1 g=2 h=4 R20=83326721035580740897 APRCL main test (5 76) done: p=11 q=11551 k=1 g=7 h=0 R20=87880649993284251592 APRCL main test (5 78) done: p=11 q=14851 k=1 g=2 h=4 R20=78968926782125408521 Parameters saved: 2 21621600 5 79 1 43 1988 APRCL main test (5 79) done: p=11 q=15401 k=1 g=6 h=8 R20=46430435364330397891 APRCL main test (5 80) done: p=11 q=19801 k=1 g=13 h=3 R20=37563836757037764399 APRCL main test (5 81) done: p=11 q=34651 k=1 g=2 h=2 R20=69963205662479870323 APRCL main test (5 82) done: p=11 q=92401 k=1 g=34 h=9 R20=77950576492027133640 APRCL main test (5 83) done: p=11 q=103951 k=1 g=6 h=0 R20=47510411182294478533 APRCL main test (5 84) done: p=11 q=118801 k=1 g=17 h=1 R20=34042922186440692111 APRCL main test (5 85) done: p=11 q=415801 k=1 g=31 h=5 R20=97333249142307754365 APRCL main test (5 87) done: p=11 q=353 k=1 g=3 h=7 R20=25395059116882654396 APRCL main test (5 90) done: p=11 q=3169 k=1 g=7 h=3 R20=81833610465807798895 Parameters saved: 2 21621600 5 92 1 44 1827 APRCL main test (5 92) done: p=11 q=5281 k=1 g=7 h=8 R20=43368663705928914335 APRCL main test (5 93) done: p=11 q=7393 k=1 g=5 h=3 R20=642299845266219526 APRCL main test (5 96) done: p=11 q=47521 k=1 g=17 h=6 R20=4877986481166951705 APRCL main test (5 97) done: p=11 q=66529 k=1 g=19 h=9 R20=89556194130103432023 APRCL main test (5 98) done: p=11 q=79201 k=1 g=13 h=9 R20=26908062348481246075 APRCL main test (5 99) done: p=11 q=110881 k=1 g=69 h=9 R20=50667793483749232788 APRCL main test (5 101) done: p=11 q=332641 k=1 g=19 h=4 R20=24660255394473257974 APRCL main test (5 109) done: p=11 q=859 k=1 g=2 h=3 R20=52727679462200012965 APRCL main test (5 118) done: p=11 q=2003 k=1 g=5 h=1 R20=96363018889117791217 APRCL main test (5 122) done: p=11 q=2861 k=1 g=2 h=1 R20=44458959352224612343 Parameters saved: 2 21621600 5 124 1 45 1897 APRCL main test (5 124) done: p=11 q=3433 k=1 g=5 h=0 R20=27081523564105844532 APRCL main test (5 127) done: p=11 q=6007 k=1 g=3 h=3 R20=56120021130429199117 APRCL main test (5 129) done: p=11 q=7151 k=1 g=7 h=10 R20=67639491623973120501 APRCL main test (5 130) done: p=11 q=7723 k=1 g=3 h=4 R20=90000005839708390236 APRCL main test (5 131) done: p=11 q=8009 k=1 g=3 h=5 R20=37075209221315421154 APRCL main test (5 133) done: p=11 q=8581 k=1 g=6 h=5 R20=14584313544033729875 APRCL main test (5 137) done: p=11 q=13729 k=1 g=23 h=7 R20=12829807614476738571 APRCL main test (5 142) done: p=11 q=20021 k=1 g=3 h=6 R20=33644286327621906436 APRCL main test (5 143) done: p=11 q=20593 k=1 g=5 h=0 R20=30207502299247750064 Parameters saved: 2 21621600 5 146 1 46 1831 APRCL main test (5 146) done: p=11 q=25741 k=1 g=6 h=6 R20=47924776693192970352 APRCL main test (5 149) done: p=11 q=36037 k=1 g=2 h=1 R20=47264885439917570347 APRCL main test (5 150) done: p=11 q=38611 k=1 g=3 h=5 R20=17898124246485827598 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=5 R20=73540768315273887825 APRCL main test (6 103) done: p=13 q=79 k=1 g=3 h=2 R20=919305849304881181 APRCL main test (6 104) done: p=13 q=131 k=1 g=2 h=3 R20=97509779726007387074 APRCL main test (6 105) done: p=13 q=157 k=1 g=5 h=4 R20=1033990511506646164 APRCL main test (6 106) done: p=13 q=313 k=1 g=10 h=1 R20=55919764236213619710 Parameters saved: 2 21621600 6 107 1 47 1899 APRCL main test (6 107) done: p=13 q=521 k=1 g=3 h=2 R20=50299162809321563287 APRCL main test (6 108) done: p=13 q=547 k=1 g=2 h=12 R20=44316806004956427839 APRCL main test (6 109) done: p=13 q=859 k=1 g=2 h=11 R20=20559658427833462466 APRCL main test (6 110) done: p=13 q=911 k=1 g=17 h=0 R20=16699876665236916561 APRCL main test (6 111) done: p=13 q=937 k=1 g=5 h=6 R20=52306528426320150987 APRCL main test (6 112) done: p=13 q=1093 k=1 g=5 h=4 R20=82502850280754647925 APRCL main test (6 113) done: p=13 q=1171 k=1 g=2 h=8 R20=99077395016092762439 Parameters saved: 2 21621600 6 114 1 48 1957 APRCL main test (6 114) done: p=13 q=1249 k=1 g=7 h=12 R20=30278187951578268453 APRCL main test (6 115) done: p=13 q=1301 k=1 g=2 h=9 R20=41423551806897165357 APRCL main test (6 116) done: p=13 q=1873 k=1 g=10 h=1 R20=5585002300619261447 APRCL main test (6 117) done: p=13 q=1951 k=1 g=3 h=7 R20=89119827464127886579 APRCL main test (6 118) done: p=13 q=2003 k=1 g=5 h=0 R20=61207777600877203080 APRCL main test (6 119) done: p=13 q=2081 k=1 g=3 h=10 R20=16068997467781228388 APRCL main test (6 120) done: p=13 q=2341 k=1 g=7 h=3 R20=27250917309123749383 Parameters saved: 2 21621600 6 121 1 49 1805 APRCL main test (6 121) done: p=13 q=2731 k=1 g=3 h=2 R20=28330509655539525114 APRCL main test (6 122) done: p=13 q=2861 k=1 g=2 h=11 R20=17780557838654965309 APRCL main test (6 123) done: p=13 q=3121 k=1 g=7 h=7 R20=64175818908901809448 APRCL main test (6 124) done: p=13 q=3433 k=1 g=5 h=9 R20=51972564942242696053 APRCL main test (6 125) done: p=13 q=3511 k=1 g=7 h=2 R20=52805688438937096978 APRCL main test (6 126) done: p=13 q=5851 k=1 g=2 h=11 R20=42647859152494717263 APRCL main test (6 127) done: p=13 q=6007 k=1 g=3 h=0 R20=43362210623605322452 APRCL main test (6 128) done: p=13 q=6553 k=1 g=10 h=4 R20=45689606886926068738 Parameters saved: 2 21621600 6 129 1 50 1977 APRCL main test (6 129) done: p=13 q=7151 k=1 g=7 h=5 R20=63783914730136258511 APRCL main test (6 130) done: p=13 q=7723 k=1 g=3 h=3 R20=95995095151706388607 APRCL main test (6 131) done: p=13 q=8009 k=1 g=3 h=7 R20=80978621880042671914 APRCL main test (6 132) done: p=13 q=8191 k=1 g=17 h=9 R20=30911522947164162089 APRCL main test (6 133) done: p=13 q=8581 k=1 g=6 h=3 R20=31384599464667004730 APRCL main test (6 134) done: p=13 q=8737 k=1 g=5 h=12 R20=30506432589280959900 APRCL main test (6 135) done: p=13 q=9829 k=1 g=10 h=11 R20=55463596168995617774 Parameters saved: 2 21621600 6 136 1 51 1983 APRCL main test (6 136) done: p=13 q=11701 k=1 g=6 h=7 R20=44724653058468459365 APRCL main test (6 137) done: p=13 q=13729 k=1 g=23 h=2 R20=4032396053116058756 APRCL main test (6 138) done: p=13 q=14561 k=1 g=6 h=11 R20=47053868163750108644 APRCL main test (6 139) done: p=13 q=15601 k=1 g=23 h=5 R20=12394919256491836698 APRCL main test (6 140) done: p=13 q=16381 k=1 g=2 h=7 R20=96840334975829009181 APRCL main test (6 141) done: p=13 q=17551 k=1 g=3 h=4 R20=32097683417228665394 Parameters saved: 2 21621600 6 142 1 52 1982 APRCL main test (6 142) done: p=13 q=20021 k=1 g=3 h=7 R20=91501836248701834983 APRCL main test (6 143) done: p=13 q=20593 k=1 g=5 h=9 R20=8169634323043170948 APRCL main test (6 144) done: p=13 q=21841 k=1 g=11 h=9 R20=33976429030961938379 APRCL main test (6 145) done: p=13 q=24571 k=1 g=7 h=8 R20=72737289348158339712 APRCL main test (6 146) done: p=13 q=25741 k=1 g=6 h=7 R20=72227634592382451901 APRCL main test (6 147) done: p=13 q=26209 k=1 g=11 h=2 R20=26111234756133202892 APRCL main test (6 148) done: p=13 q=28081 k=1 g=19 h=2 R20=92171198526870294446 Parameters saved: 2 21621600 6 149 1 53 1869 APRCL main test (6 149) done: p=13 q=36037 k=1 g=2 h=2 R20=2793414834108900414 APRCL main test (6 150) done: p=13 q=38611 k=1 g=3 h=10 R20=73878827549093748200 APRCL tests for p=13 completed Main divisor test: F1=0.2296 F2=0.0022 G=0.5005 S=0.2688 T=21621600 G=108974315142521487989274825919602305524959404524654083827210673353098977832402115681736759917276947724737326430011503451429303461949099770275163050578727311422315650940429938118676162440832266625368940900435745140380553579018454395732691543840014412722003132607211023766624847610951922898712756325761102603037420572984485936545526537605377007207898173269641045712168128843397495886146160484977677759094542502907053517358289677392575427480261676761014958047018354096443670536521554063373035237150787971620999458024529033822711321710436589717089250106670796439243289758819295277975431487893760064178949331892061133020072612230956670848572238141043462057700757223073029591276034884739678780679572795632612543516006369227672373369023778703851970458088812510307829833836501789709490770834604297466564150348289632664759154250550424666164646663633961410318620551784540727600257766206794552796862908487600 Parameters saved: 4 21621600 8258430 0 0 54 1801 Main divisor test passed: 21621600/21621600 *** N is prime! Time: 112260 sec
(15*10^2123-51)/99 == BPI:B2641040F9D72 ============================================ TITANIX 2.1.0 - Primality Certificate Started 07.23.2001 at 06:55:32 PM Running time 44h 38mn 27s Candidate certified prime ================================================================= Proved prime with Titanix by Hans Rosenthal. The zipped file "151_1061.zip" is 415 KB. When unpacked the file "Titanix-B2641040F9D72-001.out" is 962 KB and is available on demand by simple email request.
(15*10^7233-51)/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 (15*10^7233-51)/99 is 3-PRP! (11.970000 seconds) (15*10^7233-51)/99 is 5-PRP! (12.030000 seconds) (15*10^7233-51)/99 is 7-PRP! (11.970000 seconds) (15*10^7233-51)/99 is 11-PRP! (11.980000 seconds) (15*10^7233-51)/99 is 13-PRP! (11.970000 seconds) (15*10^7233-51)/99 is 17-PRP! (11.980000 seconds) (15*10^7233-51)/99 is 19-PRP! (11.980000 seconds) (15*10^7233-51)/99 is 23-PRP! (12.030000 seconds) (15*10^7233-51)/99 is 29-PRP! (11.970000 seconds) (15*10^7233-51)/99 is 31-PRP! (11.920000 seconds) (15*10^7233-51)/99 is 37-PRP! (11.970000 seconds) (15*10^7233-51)/99 is 41-PRP! (12.030000 seconds) (15*10^7233-51)/99 is 43-PRP! (11.970000 seconds) (15*10^7233-51)/99 is 47-PRP! (11.970000 seconds) (15*10^7233-51)/99 is 53-PRP! (11.980000 seconds) (15*10^7233-51)/99 is 59-PRP! (11.980000 seconds) (15*10^7233-51)/99 is 61-PRP! (11.980000 seconds) (15*10^7233-51)/99 is 251-PRP! (11.970000 seconds)
(15*10^24787-51)/99 PFGW 1.1 test for probable primality in bases 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, and 251 (15*10^24787-51)/99 is 3-PRP! (208.270000 seconds) (15*10^24787-51)/99 is 5-PRP! (203.990000 seconds) (15*10^24787-51)/99 is 7-PRP! (218.990000 seconds) (15*10^24787-51)/99 is 11-PRP! (208.720000 seconds) (15*10^24787-51)/99 is 13-PRP! (208.060000 seconds) (15*10^24787-51)/99 is 17-PRP! (214.430000 seconds) (15*10^24787-51)/99 is 19-PRP! (206.850000 seconds) (15*10^24787-51)/99 is 23-PRP! (209.370000 seconds) (15*10^24787-51)/99 is 29-PRP! (203.770000 seconds) (15*10^24787-51)/99 is 31-PRP! (207.790000 seconds) (15*10^24787-51)/99 is 37-PRP! (213.660000 seconds) (15*10^24787-51)/99 is 41-PRP! (210.690000 seconds) (15*10^24787-51)/99 is 43-PRP! (212.890000 seconds) (15*10^24787-51)/99 is 47-PRP! (202.130000 seconds) (15*10^24787-51)/99 is 53-PRP! (218.280000 seconds) (15*10^24787-51)/99 is 59-PRP! (210.200000 seconds) (15*10^24787-51)/99 is 61-PRP! (208.610000 seconds) (15*10^24787-51)/99 is 67-PRP! (204.760000 seconds) (15*10^24787-51)/99 is 71-PRP! (208.660000 seconds) (15*10^24787-51)/99 is 73-PRP! (216.960000 seconds) (15*10^24787-51)/99 is 79-PRP! (213.990000 seconds) (15*10^24787-51)/99 is 83-PRP! (210.750000 seconds) (15*10^24787-51)/99 is 89-PRP! (208.830000 seconds) (15*10^24787-51)/99 is 97-PRP! (216.410000 seconds) (15*10^24787-51)/99 is 101-PRP! (210.310000 seconds) (15*10^24787-51)/99 is 103-PRP! (212.170000 seconds) (15*10^24787-51)/99 is 107-PRP! (202.780000 seconds) (15*10^24787-51)/99 is 109-PRP! (213.660000 seconds) (15*10^24787-51)/99 is 113-PRP! (210.640000 seconds) (15*10^24787-51)/99 is 127-PRP! (207.230000 seconds) (15*10^24787-51)/99 is 251-PRP! (208.990000 seconds)
(15*10^44653-51)/99 PFGW Version 3.3.6.20100908.Win_Stable [GWNUM 25.14] Primality testing (15*10^44653-51)/99 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 7 Running N+1 test using discriminant 19, base 1+sqrt(19) (15*10^44653-51)/99 is Fermat and Lucas PRP! (759.6120s+0.0025s)