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(18*10^3-81)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(18*10^3-81)/99 N=181 *** N is prime! Time: 0 sec
(18*10^5-81)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(18*10^5-81)/99 N=18181 *** N is prime! Time: 0 sec
(18*10^77-81)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(18*10^77-81)/99 N=18181818181818181818181818181818181818181818181818181818181818181818181818181 Factor: 2^2 divides N - 1 Factor: 2 divides N + 1 Factor: 3^2 divides N - 1 Factor: 5 divides N - 1 Factor: 11 divides N + 1 Factor: 23 divides N + 1 Factor: 101 divides N - 1 Factor: 463 divides N + 1 Factor: 4093 divides N + 1 Factor: 8779 divides N + 1 Factor: 24179 divides N + 1 Factorization results: F1=0.0559 F2=0.2270 F1=18180 F2=203543218183853614 Pass: gcd(11^((N-1)/2) - 1, N) = 1: R20=81818181818181818179 Pass: 11^(N-1) = 1 (mod N): R20=1 Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=1 q=-3 R20=0 Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=3 q=-1 R20=0 Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=5 q=3 R20=0 Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=7 q=9 R20=0 Pass: gcd(U{(N+1)/2}, N) = 1: d=13 p=9 q=17 R20=41551706097505034510 Pass: U{N+1} = 0 (mod N): d=13 p=9 q=17 R20=0 Pass: gcd(11^((N-1)/3) - 1, N) = 1: R20=47317615823308813516 Pass: gcd(11^((N-1)/5) - 1, N) = 1: R20=92981231529714040336 Pass: gcd(U{(N+1)/11}, N) = 1: d=13 p=9 q=17 R20=67087171817324659228 Pass: gcd(U{(N+1)/23}, N) = 1: d=13 p=9 q=17 R20=98894417935341338082 Pass: gcd(11^((N-1)/101) - 1, N) = 1: R20=70319141650279231014 Pass: gcd(U{(N+1)/463}, N) = 1: d=13 p=9 q=17 R20=17962054882852315644 Pass: gcd(U{(N+1)/4093}, N) = 1: d=13 p=9 q=17 R20=10353649627983941438 Pass: gcd(U{(N+1)/8779}, N) = 1: d=13 p=9 q=17 R20=27307192256137844277 Pass: gcd(U{(N+1)/24179}, N) = 1: d=13 p=9 q=17 R20=81031984508375211758 BLS tests passed: F1=0.0559 F2=0.2270 APRCL test T=1260 S=1723428951244601419 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=0 R20=1 APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=0 R20=2 APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=0 R20=1 APRCL L_2 condition satisfied APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=1 R20=0 APRCL main test (1 6) for p=2 q=11 not needed APRCL main test (1 7) done: p=2 q=31 k=1 g=3 h=1 R20=81818181818181818180 APRCL main test (1 8) done: p=2 q=61 k=2 g=2 h=1 R20=0 APRCL main test (1 9) done: p=2 q=19 k=1 g=2 h=0 R20=1 APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=3 R20=0 APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=3 R20=0 APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=2 R20=81818181818181818179 APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=1 R20=81818181818181818180 APRCL main test (1 14) done: p=2 q=71 k=1 g=7 h=1 R20=81818181818181818180 APRCL main test (1 15) done: p=2 q=127 k=1 g=3 h=1 R20=81818181818181818180 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=2 R20=81818181818181818178 APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=2 R20=81818181818181818178 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=1 R20=1 APRCL main test (2 9) done: p=3 q=19 k=2 g=2 h=4 R20=0 APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=6 R20=81818181818181818174 APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=1 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=4 R20=0 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) for p=5 q=11 not needed 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=0 R20=4 APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=3 R20=1 APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=1 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=5 R20=98989857573645346821 APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=0 R20=26038759308785847329 APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=3 R20=89996319552270612729 APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=1 R20=27462122783944923652 APRCL tests for p=7 completed Main divisor test: F1=0.0559 F2=0.2230 G=0.5180 S=0.2391 T=1260 G=3188701780182228764702410847832645437940 Main divisor test passed: 1260/1260 *** N is prime! Time: 1 sec
(18*10^163-81)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(18*10^163-81)/99 N=1818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181 Factor: 2^2 divides N - 1 Factor: 2 divides N + 1 Factor: 3^6 divides N - 1 Factor: 5 divides N - 1 Factor: 7 divides N - 1 Factor: 13 divides N - 1 Factor: 19 divides N - 1 Factor: 37 divides N - 1 Factor: 163 divides N - 1 Factor: 653 divides N + 1 Factor: 757 divides N - 1 Factor: 1459 divides N - 1 Factor: 9397 divides N - 1 Factor: 13693 divides N + 1 Factor: 52579 divides N - 1 Factorization results: F1=0.1597 F2=0.0447 F1=82964932842608185486915980 F2=17883058 Pass: gcd(11^((N-1)/2) - 1, N) = 1: R20=81818181818181818179 Pass: 11^(N-1) = 1 (mod N): R20=1 Fail: gcd(U{(N+1)/2}, N) not = 1: d=17 p=1 q=-4 R20=0 Pass: gcd(U{(N+1)/2}, N) = 1: d=17 p=3 q=-2 R20=27132222617234409527 Pass: U{N+1} = 0 (mod N): d=17 p=3 q=-2 R20=0 Fail: gcd(11^((N-1)/3) - 1, N) not = 1: R20=0 Pass: gcd(17^((N-1)/3) - 1, N) = 1: R20=62734444252381646102 Pass: 17^(N-1) = 1 (mod N): R20=1 Pass: gcd(17^((N-1)/5) - 1, N) = 1: R20=42948019280571759968 Pass: gcd(17^((N-1)/7) - 1, N) = 1: R20=77589418762970079009 Pass: gcd(17^((N-1)/13) - 1, N) = 1: R20=62308229638810594724 Pass: gcd(17^((N-1)/19) - 1, N) = 1: R20=5862796054191015113 Pass: gcd(17^((N-1)/37) - 1, N) = 1: R20=70175343976560439937 Pass: gcd(17^((N-1)/163) - 1, N) = 1: R20=83072966486233816488 Pass: gcd(U{(N+1)/653}, N) = 1: d=17 p=3 q=-2 R20=21658127032760361961 Pass: gcd(17^((N-1)/757) - 1, N) = 1: R20=57205070338368334899 Pass: gcd(17^((N-1)/1459) - 1, N) = 1: R20=19931332609148305072 Pass: gcd(17^((N-1)/9397) - 1, N) = 1: R20=54482274270334824084 Pass: gcd(U{(N+1)/13693}, N) = 1: d=17 p=3 q=-2 R20=83559097000931856443 Pass: gcd(17^((N-1)/52579) - 1, N) = 1: R20=22462365843574352086 BLS tests passed: F1=0.1597 F2=0.0447 APRCL test T=15120 S=8866895254933999141583588658162254776982973249611 APRCL main test (1) at level 7 for p=2 APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=0 R20=1 APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=0 R20=2 APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=0 R20=1 APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=0 R20=2 APRCL L_2 condition satisfied APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=1 R20=81818181818181818180 APRCL main test (1 7) done: p=2 q=31 k=1 g=3 h=1 R20=81818181818181818180 APRCL main test (1 8) done: p=2 q=61 k=2 g=2 h=2 R20=81818181818181818179 APRCL main test (1 9) for p=2 q=19 not needed APRCL main test (1 10) for p=2 q=37 not needed APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=1 R20=0 APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=3 R20=0 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=1 R20=81818181818181818180 APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=3 R20=0 APRCL main test (1 18) done: p=2 q=631 k=1 g=3 h=1 R20=81818181818181818180 APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=5 R20=52034973941532918035 APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=6 R20=13913945969720128408 APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=5 R20=74036359695132210634 APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=1 R20=25681150486021381179 APRCL main test (1 23) done: p=2 q=17 k=4 g=3 h=11 R20=58013104729131289653 APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=10 R20=50913118266322969685 APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=4 R20=99162053862673557731 APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=7 R20=22054185690130885781 APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=4 R20=55978518680407775225 APRCL main test (1 28) done: p=2 q=109 k=2 g=6 h=3 R20=0 APRCL main test (1 29) done: p=2 q=271 k=1 g=6 h=1 R20=81818181818181818180 APRCL main test (1 30) done: p=2 q=379 k=1 g=2 h=1 R20=81818181818181818180 APRCL tests for p=2 completed APRCL main test (2) at level 7 for p=3 APRCL main test (2 4) done: p=3 q=7 k=1 g=3 h=0 R20=2 APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=0 R20=2 APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=0 R20=2 APRCL L_3 condition satisfied APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=2 R20=81818181818181818178 APRCL main test (2 9) for p=3 q=19 not needed 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=7 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=7 R20=0 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=2 R20=81818181818181818178 APRCL main test (2 18) done: p=3 q=631 k=2 g=3 h=0 R20=6 APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=1 R20=0 APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=8 R20=0 APRCL main test (2 25) done: p=3 q=241 k=1 g=7 h=2 R20=81818181818181818178 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=5 R20=0 APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=2 R20=0 APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=18 R20=81818181818181818162 APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=14 R20=0 APRCL tests for p=3 completed APRCL main test (3) at level 7 for p=5 APRCL L_5 condition satisfied APRCL main test (3 6) done: p=5 q=11 k=1 g=2 h=1 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=2 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=3 R20=1 APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=1 R20=1 APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=1 R20=1 APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=2 R20=1 APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=0 R20=4 APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=0 R20=4 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=2 R20=1 APRCL tests for p=5 completed APRCL main test (4) at level 7 for p=7 APRCL L_7 condition satisfied APRCL main test (4 12) done: p=7 q=29 k=1 g=2 h=0 R20=6 APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=3 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=6 R20=81818181818181818170 APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=5 R20=1 APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=1 R20=1 APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=6 R20=81818181818181818170 APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=3 R20=1 APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=3 R20=1 APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=6 R20=81818181818181818170 APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=0 R20=6 APRCL main test (4 27) done: p=7 q=1009 k=1 g=11 h=4 R20=1 APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=2 R20=1 APRCL tests for p=7 completed Main divisor test: F1=0.1597 F2=0.0428 G=0.5042 S=0.3017 T=15120 G=6577758637625214552702007661685429351765483131221744497596695028744255670634699620 Main divisor test passed: 15120/15120 *** N is prime! Time: 10 sec
(18*10^1479-81)/99 == BPI:B263B01E8BA06 ============================================ TITANIX 2.1.0 - Primality Certificate Started 07.17.2001 at 08:53:49 AM Running time 15h 20mn 20s Candidate certified prime ================================================================= Proved prime with Titanix by Hans Rosenthal. The zipped file "181_739.zip" is 219 KB. When unpacked the file "Titanix-B263B01E8BA06-001.out" is 516 KB and is available on demand by simple email request.
(18*10^3657-81)/99 == ID:B26D304492538 ============================================= PRIMO 1.1.0 - Primality Certificate Started 12.16.2001 07:58:36 PM Running time 452h 1mn 15s Started 01.04.2002 05:33:41 PM Running time 63h 46mn 20s Candidate certified prime ================================================================= Proved prime with 'Primo' by Hans Rosenthal. The zipped file "181_1828.zip" is 1268 KB. When unpacked the file "Primo-B26D304492538.out" is 2908 KB and is available on demand by simple email request.
(18*10^4573-81)/99 == ID:B2772039178E8 ============================================= PRIMO 1.2.2 - Primality Certificate Started 05.24.2002 04:37:45 PM Running time 1576h 30mn 35s Candidate certified prime ================================================================= +------------------------------------------------------------------------+ | Cert_Val a "PRIMO/Titanix" certificate (.out file) validation program | | Version 1.95 Jim Fougeron, Using the Miracl big integer library | | Copyright, 2001-2002 Jim Fougeron, Free usage rights granted to all | +------------------------------------------------------------------------+ Processing file primo-b2772039178e8.out This Certificate is a PRIMO compatible certificate 1) EC Test ECtest1 != Ident, ECtest2= Ident Validated 6mn 34.820s 2) EC Test ECtest1 != Ident, ECtest2= Ident Validated 6mn 34.481s ... 677) EC Test ECtest1 != Ident, ECtest2= Ident Validated 0.003s 678) SPP Test Trial-div to 518403 !Success!!! Validated 0.003s Prime number being certified was: N=(18*10^4573-81)/99 Certificate for this number was FULLY validated! Total time used to validate certificate: 18h 38mn 7.905s There were 678 steps in the primality proof ================================================================= Proved prime with 'Primo 1.2.2' by Hans Rosenthal. The zipped file "181_2286.zip" is 2186 KB. When unpacked the file "Primo-B2772039178E8.out" is 4987 KB and is available on demand by simple email request.
(18*10^8315-81)/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 (18*10^8315-81)/99 is 3-PRP! (16.590000 seconds) (18*10^8315-81)/99 is 5-PRP! (16.590000 seconds) (18*10^8315-81)/99 is 7-PRP! (16.590000 seconds) (18*10^8315-81)/99 is 11-PRP! (16.530000 seconds) (18*10^8315-81)/99 is 13-PRP! (16.590000 seconds) (18*10^8315-81)/99 is 17-PRP! (16.590000 seconds) (18*10^8315-81)/99 is 19-PRP! (16.590000 seconds) (18*10^8315-81)/99 is 23-PRP! (16.580000 seconds) (18*10^8315-81)/99 is 29-PRP! (16.530000 seconds) (18*10^8315-81)/99 is 31-PRP! (16.590000 seconds) (18*10^8315-81)/99 is 37-PRP! (16.530000 seconds) (18*10^8315-81)/99 is 41-PRP! (16.590000 seconds) (18*10^8315-81)/99 is 43-PRP! (16.580000 seconds) (18*10^8315-81)/99 is 47-PRP! (16.530000 seconds) (18*10^8315-81)/99 is 53-PRP! (16.530000 seconds) (18*10^8315-81)/99 is 59-PRP! (16.590000 seconds) (18*10^8315-81)/99 is 61-PRP! (16.590000 seconds) (18*10^8315-81)/99 is 251-PRP! (16.590000 seconds)
(18*10^30259-81)/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 (18*10^30259-81)/99 is 3-PRP! (347.240000 seconds) (18*10^30259-81)/99 is 5-PRP! (349.880000 seconds) (18*10^30259-81)/99 is 7-PRP! (351.800000 seconds) (18*10^30259-81)/99 is 11-PRP! (349.760000 seconds) (18*10^30259-81)/99 is 13-PRP! (349.050000 seconds) (18*10^30259-81)/99 is 17-PRP! (349.490000 seconds) (18*10^30259-81)/99 is 19-PRP! (348.720000 seconds) (18*10^30259-81)/99 is 23-PRP! (348.890000 seconds) (18*10^30259-81)/99 is 29-PRP! (349.380000 seconds) (18*10^30259-81)/99 is 31-PRP! (350.970000 seconds) (18*10^30259-81)/99 is 37-PRP! (348.340000 seconds) (18*10^30259-81)/99 is 41-PRP! (350.370000 seconds) (18*10^30259-81)/99 is 43-PRP! (353.830000 seconds) (18*10^30259-81)/99 is 47-PRP! (349.710000 seconds) (18*10^30259-81)/99 is 53-PRP! (347.510000 seconds) (18*10^30259-81)/99 is 59-PRP! (348.340000 seconds) (18*10^30259-81)/99 is 61-PRP! (350.150000 seconds) (18*10^30259-81)/99 is 67-PRP! (349.060000 seconds) (18*10^30259-81)/99 is 71-PRP! (349.440000 seconds) (18*10^30259-81)/99 is 73-PRP! (349.110000 seconds) (18*10^30259-81)/99 is 79-PRP! (352.620000 seconds) (18*10^30259-81)/99 is 83-PRP! (352.570000 seconds) (18*10^30259-81)/99 is 89-PRP! (348.770000 seconds) (18*10^30259-81)/99 is 97-PRP! (348.010000 seconds) (18*10^30259-81)/99 is 101-PRP! (347.130000 seconds) (18*10^30259-81)/99 is 103-PRP! (348.780000 seconds) (18*10^30259-81)/99 is 107-PRP! (349.390000 seconds) (18*10^30259-81)/99 is 109-PRP! (348.830000 seconds) (18*10^30259-81)/99 is 113-PRP! (350.150000 seconds) (18*10^30259-81)/99 is 127-PRP! (349.110000 seconds) (18*10^30259-81)/99 is 251-PRP! (350.480000 seconds)
(18*10^31063-81)/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 (18*10^31063-81)/99 is 3-PRP! (358.500000 seconds) (18*10^31063-81)/99 is 5-PRP! (357.120000 seconds) (18*10^31063-81)/99 is 7-PRP! (357.620000 seconds) (18*10^31063-81)/99 is 11-PRP! (357.900000 seconds) (18*10^31063-81)/99 is 13-PRP! (363.330000 seconds) (18*10^31063-81)/99 is 17-PRP! (358.610000 seconds) (18*10^31063-81)/99 is 19-PRP! (356.910000 seconds) (18*10^31063-81)/99 is 23-PRP! (360.370000 seconds) (18*10^31063-81)/99 is 29-PRP! (357.230000 seconds) (18*10^31063-81)/99 is 31-PRP! (358.670000 seconds) (18*10^31063-81)/99 is 37-PRP! (359.100000 seconds) (18*10^31063-81)/99 is 41-PRP! (359.540000 seconds) (18*10^31063-81)/99 is 43-PRP! (358.610000 seconds) (18*10^31063-81)/99 is 47-PRP! (360.470000 seconds) (18*10^31063-81)/99 is 53-PRP! (355.260000 seconds) (18*10^31063-81)/99 is 59-PRP! (356.850000 seconds) (18*10^31063-81)/99 is 61-PRP! (358.170000 seconds) (18*10^31063-81)/99 is 67-PRP! (358.880000 seconds) (18*10^31063-81)/99 is 71-PRP! (355.810000 seconds) (18*10^31063-81)/99 is 73-PRP! (359.480000 seconds) (18*10^31063-81)/99 is 79-PRP! (359.430000 seconds) (18*10^31063-81)/99 is 83-PRP! (359.590000 seconds) (18*10^31063-81)/99 is 89-PRP! (359.820000 seconds) (18*10^31063-81)/99 is 97-PRP! (358.000000 seconds) (18*10^31063-81)/99 is 101-PRP! (356.080000 seconds) (18*10^31063-81)/99 is 103-PRP! (357.790000 seconds) (18*10^31063-81)/99 is 107-PRP! (359.870000 seconds) (18*10^31063-81)/99 is 109-PRP! (357.620000 seconds) (18*10^31063-81)/99 is 113-PRP! (357.620000 seconds) (18*10^31063-81)/99 is 127-PRP! (358.330000 seconds) (18*10^31063-81)/99 is 251-PRP! (356.190000 seconds)
(18*10^31855-81)/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 (18*10^31855-81)/99 is 3-PRP! (367.950000 seconds) (18*10^31855-81)/99 is 5-PRP! (366.350000 seconds) (18*10^31855-81)/99 is 7-PRP! (363.990000 seconds) (18*10^31855-81)/99 is 11-PRP! (364.710000 seconds) (18*10^31855-81)/99 is 13-PRP! (366.130000 seconds) (18*10^31855-81)/99 is 17-PRP! (365.480000 seconds) (18*10^31855-81)/99 is 19-PRP! (368.550000 seconds) (18*10^31855-81)/99 is 23-PRP! (365.310000 seconds) (18*10^31855-81)/99 is 29-PRP! (365.310000 seconds) (18*10^31855-81)/99 is 31-PRP! (366.900000 seconds) (18*10^31855-81)/99 is 37-PRP! (362.510000 seconds) (18*10^31855-81)/99 is 41-PRP! (368.440000 seconds) (18*10^31855-81)/99 is 43-PRP! (363.720000 seconds) (18*10^31855-81)/99 is 47-PRP! (366.360000 seconds) (18*10^31855-81)/99 is 53-PRP! (365.420000 seconds) (18*10^31855-81)/99 is 59-PRP! (364.870000 seconds) (18*10^31855-81)/99 is 61-PRP! (363.780000 seconds) (18*10^31855-81)/99 is 67-PRP! (363.990000 seconds) (18*10^31855-81)/99 is 71-PRP! (364.920000 seconds) (18*10^31855-81)/99 is 73-PRP! (364.270000 seconds) (18*10^31855-81)/99 is 79-PRP! (363.830000 seconds) (18*10^31855-81)/99 is 83-PRP! (365.530000 seconds) (18*10^31855-81)/99 is 89-PRP! (366.850000 seconds) (18*10^31855-81)/99 is 97-PRP! (365.690000 seconds) (18*10^31855-81)/99 is 101-PRP! (362.950000 seconds) (18*10^31855-81)/99 is 103-PRP! (364.760000 seconds) (18*10^31855-81)/99 is 107-PRP! (366.190000 seconds) (18*10^31855-81)/99 is 109-PRP! (362.890000 seconds) (18*10^31855-81)/99 is 113-PRP! (364.100000 seconds) (18*10^31855-81)/99 is 127-PRP! (365.030000 seconds) (18*10^31855-81)/99 is 251-PRP! (365.690000 seconds)
(18*10^36915-81)/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 (18*10^36915-81)/99 is 3-PRP! (519.920000 seconds) (18*10^36915-81)/99 is 5-PRP! (527.400000 seconds) (18*10^36915-81)/99 is 7-PRP! (518.280000 seconds) (18*10^36915-81)/99 is 11-PRP! (520.200000 seconds) (18*10^36915-81)/99 is 13-PRP! (515.140000 seconds) (18*10^36915-81)/99 is 17-PRP! (522.450000 seconds) (18*10^36915-81)/99 is 19-PRP! (517.230000 seconds) (18*10^36915-81)/99 is 23-PRP! (518.770000 seconds) (18*10^36915-81)/99 is 29-PRP! (522.460000 seconds) (18*10^36915-81)/99 is 31-PRP! (526.350000 seconds) (18*10^36915-81)/99 is 37-PRP! (523.720000 seconds) (18*10^36915-81)/99 is 41-PRP! (519.050000 seconds) (18*10^36915-81)/99 is 43-PRP! (523.600000 seconds) (18*10^36915-81)/99 is 47-PRP! (528.380000 seconds) (18*10^36915-81)/99 is 53-PRP! (525.360000 seconds) (18*10^36915-81)/99 is 59-PRP! (524.860000 seconds) (18*10^36915-81)/99 is 61-PRP! (525.470000 seconds) (18*10^36915-81)/99 is 67-PRP! (520.310000 seconds) (18*10^36915-81)/99 is 71-PRP! (521.190000 seconds) (18*10^36915-81)/99 is 73-PRP! (522.730000 seconds) (18*10^36915-81)/99 is 79-PRP! (517.180000 seconds) (18*10^36915-81)/99 is 83-PRP! (521.190000 seconds) (18*10^36915-81)/99 is 89-PRP! (535.140000 seconds) (18*10^36915-81)/99 is 97-PRP! (518.500000 seconds) (18*10^36915-81)/99 is 101-PRP! (514.270000 seconds) (18*10^36915-81)/99 is 103-PRP! (516.400000 seconds) (18*10^36915-81)/99 is 107-PRP! (520.750000 seconds) (18*10^36915-81)/99 is 109-PRP! (522.390000 seconds) (18*10^36915-81)/99 is 113-PRP! (516.960000 seconds) (18*10^36915-81)/99 is 127-PRP! (520.590000 seconds) (18*10^36915-81)/99 is 251-PRP! (515.370000 seconds)
(18*10^66657-81)/99 By Ray Chandler PFGW Version 3.4.4.64BIT.20101104.Win_Dev [GWNUM 26.4] Primality testing (18*10^66657-81)/99 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 7, base 1+sqrt(7) Calling N-1 BLS with factored part 0.10% and helper 0.03% (0.34% proof) (18*10^66657-81)/99 is Fermat and Lucas PRP! (1392.6408s+0.0182s)