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(75*10^3-57)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(75*10^3-57)/99 N=757 *** N is prime! Time: 0 sec
(75*10^17-57)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(75*10^17-57)/99 N=75757575757575757 Factor: 2^2 divides N - 1 Factor: 2 divides N + 1 Factor: 3 divides N - 1 Factor: 11 divides N - 1 Factor: 53 divides N - 1 Factor: 149 divides N + 1 Factorization results: F1=0.2278 F2=0.1466 F1=6996 F2=298 Pass: gcd(5^((N-1)/2) - 1, N) = 1: R20=75757575757575755 Pass: 5^(N-1) = 1 (mod N): R20=1 Fail: gcd(U{(N+1)/2}, N) not = 1: d=5 p=1 q=-1 R20=0 Fail: gcd(U{(N+1)/2}, N) not = 1: d=5 p=3 q=1 R20=0 Pass: gcd(U{(N+1)/2}, N) = 1: d=5 p=5 q=5 R20=2 Pass: U{N+1} = 0 (mod N): d=5 p=5 q=5 R20=0 Fail: gcd(5^((N-1)/3) - 1, N) not = 1: R20=0 Fail: gcd(7^((N-1)/3) - 1, N) not = 1: R20=0 Pass: gcd(13^((N-1)/3) - 1, N) = 1: R20=63242172398142789 Pass: 13^(N-1) = 1 (mod N): R20=1 Pass: gcd(13^((N-1)/11) - 1, N) = 1: R20=43901163972662109 Pass: gcd(13^((N-1)/53) - 1, N) = 1: R20=7556654713222190 Pass: gcd(U{(N+1)/149}, N) = 1: d=5 p=5 q=5 R20=61703462868850100 BLS tests passed: F1=0.2278 F2=0.1466 Main divisor test: F1=0.2278 F2=0.1287 G=0.3565 S=0.0000 T=1 G=1042404 Main divisor test passed: 1/1 Final divisor test: F=0.2278 G=0.3565 H=0.8121 t=-1 a=743 Final divisor test passed: 1487/1487 r=1476 i=0 *** N is prime! Time: 0 sec
(75*10^77-57)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(75*10^77-57)/99 N=75757575757575757575757575757575757575757575757575757575757575757575757575757 Factor: 2^2 divides N - 1 Factor: 2 divides N + 1 Factor: 3 divides N - 1 Factor: 17 divides N + 1 Factor: 227 divides N + 1 Factorization results: F1=0.0140 F2=0.0506 F1=12 F2=7718 Pass: gcd(5^((N-1)/2) - 1, N) = 1: R20=57575757575757575755 Pass: 5^(N-1) = 1 (mod N): R20=1 Fail: gcd(U{(N+1)/2}, N) not = 1: d=5 p=1 q=-1 R20=0 Fail: gcd(U{(N+1)/2}, N) not = 1: d=5 p=3 q=1 R20=0 Pass: gcd(U{(N+1)/2}, N) = 1: d=5 p=5 q=5 R20=2 Pass: U{N+1} = 0 (mod N): d=5 p=5 q=5 R20=0 Fail: gcd(5^((N-1)/3) - 1, N) not = 1: R20=0 Pass: gcd(7^((N-1)/3) - 1, N) = 1: R20=7576229888951997391 Pass: 7^(N-1) = 1 (mod N): R20=1 Pass: gcd(U{(N+1)/17}, N) = 1: d=5 p=5 q=5 R20=12532073251108847825 Pass: gcd(U{(N+1)/227}, N) = 1: d=5 p=5 q=5 R20=49477191566042842256 BLS tests passed: F1=0.0140 F2=0.0506 APRCL test T=2520 S=22342564747827993241663860420075425 APRCL main test (1) at level 5 for p=2 APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=0 R20=1 APRCL L_2 condition satisfied APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=3 R20=0 APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=1 R20=57575757575757575756 APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=3 R20=0 APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=1 R20=57575757575757575756 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=0 R20=2 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=1 R20=0 APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=2 R20=57575757575757575755 APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=1 R20=57575757575757575756 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=57575757575757575756 APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=1 R20=0 APRCL main test (1 18) done: p=2 q=631 k=1 g=3 h=1 R20=57575757575757575756 APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=0 R20=64854494063723011252 APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=5 R20=58729776234871004649 APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=1 R20=39452835127702554655 APRCL tests for p=2 completed APRCL main test (2) at level 5 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=57575757575757575754 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=5 R20=543381936610057404 APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=2 R20=2596048707919514678 APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=8 R20=90666346163645391315 APRCL main test (2 13) done: p=3 q=43 k=1 g=3 h=2 R20=57575757575757575754 APRCL main test (2 15) done: p=3 q=127 k=2 g=3 h=7 R20=93421072578603464803 APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=2 R20=57575757575757575754 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=4 R20=97398169636494383561 APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=3 R20=10503354311837648382 APRCL tests for p=3 completed APRCL main test (3) at level 5 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=94264963686451289757 APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=3 R20=46936587519313846057 APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=1 R20=54578844070916094565 APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=3 R20=10048995803398904647 APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=1 R20=66789297457815608976 APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=2 R20=20134727023610921097 APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=0 R20=28769986696764361074 APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=1 R20=7301325419373143786 APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=3 R20=77625150974347880951 APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=4 R20=56684408451736626405 APRCL tests for p=5 completed APRCL main test (4) at level 5 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=49261901565353702530 APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=3 R20=30044274169114672323 APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=0 R20=60433497823955840066 APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=5 R20=14969950682179689765 APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=4 R20=75001858759186335952 APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=0 R20=29199640621082925488 APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=5 R20=89618120003923155097 APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=3 R20=42741541771764205659 APRCL tests for p=7 completed Main divisor test: F1=0.0140 F2=0.0467 G=0.5075 S=0.4468 T=2520 G=1034639488342418711034970048332852780900 Main divisor test passed: 2520/2520 *** N is prime! Time: 0 sec
(75*10^143-57)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(75*10^143-57)/99 N=75757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757 Factor: 2^2 divides N - 1 Factor: 2 divides N + 1 Factor: 3 divides N - 1 Factor: 21529 divides N - 1 Factorization results: F1=0.0379 F2=0.0021 F1=258348 F2=2 Pass: gcd(5^((N-1)/2) - 1, N) = 1: R20=57575757575757575755 Pass: 5^(N-1) = 1 (mod N): R20=1 Pass: gcd(5^((N-1)/3) - 1, N) = 1: R20=67324515351703712608 Pass: gcd(5^((N-1)/21529) - 1, N) = 1: R20=74392957894740446675 BLS tests passed: F1=0.0379 F2=0.0021 APRCL test T=15120 S=38040143977610034189303554937970210741654554104995013743159471600025 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 L_2 condition satisfied APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=3 R20=0 APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=1 R20=57575757575757575756 APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=3 R20=0 APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=1 R20=57575757575757575756 APRCL main test (1 7) done: p=2 q=31 k=1 g=3 h=1 R20=57575757575757575756 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=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=1 R20=57575757575757575756 APRCL main test (1 15) done: p=2 q=127 k=1 g=3 h=1 R20=57575757575757575756 APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=1 R20=57575757575757575756 APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=2 R20=57575757575757575755 APRCL main test (1 18) done: p=2 q=631 k=1 g=3 h=1 R20=57575757575757575756 APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=5 R20=93759814532342711477 APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=0 R20=54648556001632764380 APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=0 R20=60146201329124551953 APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=2 R20=69488213313589562107 APRCL main test (1 23) done: p=2 q=17 k=4 g=3 h=10 R20=31218165333245263440 APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=12 R20=93198997540655971694 APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=13 R20=52324670924184618283 APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=11 R20=37657799809732269012 APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=8 R20=16755708507892180794 APRCL main test (1 28) done: p=2 q=109 k=2 g=6 h=1 R20=0 APRCL main test (1 29) done: p=2 q=271 k=1 g=6 h=1 R20=57575757575757575756 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=56883710524563095910 APRCL main test (1 32) done: p=2 q=541 k=2 g=2 h=1 R20=0 APRCL main test (1 33) done: p=2 q=757 k=2 g=2 h=0 R20=2 APRCL main test (1 34) done: p=2 q=2161 k=4 g=23 h=7 R20=22109512540743289779 APRCL tests for p=2 completed APRCL main test (2) at level 7 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=57575757575757575754 APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=2 R20=57575757575757575754 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=2 R20=22897884881166290296 APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=2 R20=82451732742180369286 APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=2 R20=24378602819342959800 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=24462476318172425431 APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=2 R20=57575757575757575754 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=7 R20=44141300229564469665 APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=7 R20=436783854512516734 APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=7 R20=606768752323356788 APRCL main test (2 25) done: p=3 q=241 k=1 g=7 h=2 R20=57575757575757575754 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=7 R20=23079117905702847448 APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=2 R20=8072851757395897381 APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=25 R20=771886003580669767 APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=19 R20=79989583578652499405 APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=4 R20=2614725113856777489 APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=15 R20=76568499672851703611 APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=23 R20=81650063332042128708 APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=18 R20=75302605938520364115 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=2 R20=24017029802153769096 APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=0 R20=63976917983161479519 APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=1 R20=91126530013925875253 APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=0 R20=27098277423359075323 APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=2 R20=36152038135771522004 APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=3 R20=61552566613099844608 APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=2 R20=45625054603789772289 APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=0 R20=72526995893925352109 APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=2 R20=58352712130225515115 APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=3 R20=1145636530193463363 APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=0 R20=1627992789361449695 APRCL main test (3 25) done: p=5 q=241 k=1 g=7 h=4 R20=64655108096164551804 APRCL main test (3 29) done: p=5 q=271 k=1 g=6 h=2 R20=59142383104475123919 APRCL main test (3 32) done: p=5 q=541 k=1 g=2 h=0 R20=79423010241888132834 APRCL main test (3 34) done: p=5 q=2161 k=1 g=23 h=1 R20=489648799652330761 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=3 R20=33138984189732248751 APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=5 R20=34410442279320259342 APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=4 R20=2064549253974563351 APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=2 R20=79966091727685891521 APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=6 R20=71067209467098560495 APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=1 R20=2555293943878926064 APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=1 R20=21786788424589011974 APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=0 R20=10537190512851509214 APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=5 R20=80941335381285993319 APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=3 R20=54215799412035282671 APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=6 R20=41451691363601085387 APRCL main test (4 27) done: p=7 q=1009 k=1 g=11 h=6 R20=97744336114537446395 APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=1 R20=15450704878349224411 APRCL main test (4 33) done: p=7 q=757 k=1 g=2 h=4 R20=43926614103816849835 APRCL tests for p=7 completed Main divisor test: F1=0.0379 F2=0.0000 G=0.5109 S=0.4730 T=15120 G=9827595116327597112738194811114728004684970743917251810517763168923258700 Main divisor test passed: 15120/15120 *** N is prime! Time: 12 sec
(75*10^149-57)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(75*10^149-57)/99 N=75757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757 Factor: 2^2 divides N - 1 Factor: 2 divides N + 1 Factor: 3 divides N - 1 Factor: 11 divides N - 1 Factor: 29 divides N + 1 Factor: 47 divides N + 1 Factor: 461 divides N - 1 Factorization results: F1=0.0321 F2=0.0231 F1=60852 F2=2726 Pass: gcd(5^((N-1)/2) - 1, N) = 1: R20=57575757575757575755 Pass: 5^(N-1) = 1 (mod N): R20=1 Fail: gcd(U{(N+1)/2}, N) not = 1: d=5 p=1 q=-1 R20=0 Fail: gcd(U{(N+1)/2}, N) not = 1: d=5 p=3 q=1 R20=0 Pass: gcd(U{(N+1)/2}, N) = 1: d=5 p=5 q=5 R20=2 Pass: U{N+1} = 0 (mod N): d=5 p=5 q=5 R20=0 Pass: gcd(5^((N-1)/3) - 1, N) = 1: R20=12890582719247031406 Pass: gcd(5^((N-1)/11) - 1, N) = 1: R20=99223888484007074492 Pass: gcd(U{(N+1)/29}, N) = 1: d=5 p=5 q=5 R20=75682252211175864440 Pass: gcd(U{(N+1)/47}, N) = 1: d=5 p=5 q=5 R20=90317916118905858777 Pass: gcd(5^((N-1)/461) - 1, N) = 1: R20=9360743468564935645 BLS tests passed: F1=0.0321 F2=0.0231 APRCL test T=15120 S=901634885939528114436752911868315872782602142908674918219525908362975 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 L_2 condition satisfied APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=3 R20=0 APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=1 R20=57575757575757575756 APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=3 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=57575757575757575756 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=2 R20=57575757575757575755 APRCL main test (1 12) for p=2 q=29 not needed 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=1 R20=57575757575757575756 APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=0 R20=1 APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=3 R20=0 APRCL main test (1 18) done: p=2 q=631 k=1 g=3 h=1 R20=57575757575757575756 APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=6 R20=7815195891505246755 APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=5 R20=12989000397466999324 APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=5 R20=41181454579161772530 APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=1 R20=70169600951347234323 APRCL main test (1 23) done: p=2 q=17 k=4 g=3 h=9 R20=88832151355026044882 APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=2 R20=67982256640846267085 APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=10 R20=35975549216572355173 APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=8 R20=84981123825502687492 APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=8 R20=40462878654357695842 APRCL main test (1 28) done: p=2 q=109 k=2 g=6 h=1 R20=0 APRCL main test (1 29) done: p=2 q=271 k=1 g=6 h=1 R20=57575757575757575756 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=64296183070578577586 APRCL main test (1 32) done: p=2 q=541 k=2 g=2 h=0 R20=2 APRCL main test (1 33) done: p=2 q=757 k=2 g=2 h=0 R20=2 APRCL main test (1 34) done: p=2 q=2161 k=4 g=23 h=2 R20=37823616555204094806 APRCL main test (1 35) done: p=2 q=7561 k=3 g=13 h=0 R20=4322209727229093414 APRCL tests for p=2 completed APRCL main test (2) at level 7 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=57575757575757575754 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=5 R20=63596577590315413542 APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=2 R20=931358153157945334 APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=2 R20=25927609926435548496 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=5 R20=66906023416272348805 APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=2 R20=57575757575757575754 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=0 R20=19086246635307057554 APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=3 R20=38743102050894022591 APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=1 R20=90796509149557312193 APRCL main test (2 25) done: p=3 q=241 k=1 g=7 h=2 R20=57575757575757575754 APRCL main test (2 26) done: p=3 q=337 k=1 g=10 h=2 R20=57575757575757575754 APRCL main test (2 27) done: p=3 q=1009 k=2 g=11 h=7 R20=59123849476482258823 APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=10 R20=44961449286128074398 APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=11 R20=49781099261316532297 APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=20 R20=88225309464225395547 APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=11 R20=63576763164078644115 APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=1 R20=41029546242178243953 APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=19 R20=6237415177943966756 APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=25 R20=31100878729442063742 APRCL main test (2 35) done: p=3 q=7561 k=3 g=13 h=24 R20=38196382863184365027 APRCL tests for p=3 completed APRCL main test (3) at level 7 for p=5 APRCL main test (3 6) done: p=5 q=11 k=1 g=2 h=0 R20=65915351865765088905 APRCL L_5 condition satisfied APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=3 R20=78627061457446473055 APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=3 R20=68759619848036940216 APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=2 R20=56785460909266653902 APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=1 R20=73818927221029978419 APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=2 R20=64501396344796088737 APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=3 R20=66518640173719980311 APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=4 R20=53692556071995544972 APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=2 R20=28999693544607286427 APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=0 R20=67472050835989995828 APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=1 R20=63026283663514030376 APRCL main test (3 25) done: p=5 q=241 k=1 g=7 h=0 R20=53920569653769839717 APRCL main test (3 29) done: p=5 q=271 k=1 g=6 h=3 R20=99927957011874714520 APRCL main test (3 32) done: p=5 q=541 k=1 g=2 h=0 R20=57158983619874487406 APRCL main test (3 34) done: p=5 q=2161 k=1 g=23 h=1 R20=21833875938709832045 APRCL main test (3 35) done: p=5 q=7561 k=1 g=13 h=2 R20=62883674543891675564 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) for p=7 q=29 not needed APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=2 R20=35804550251909578067 APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=1 R20=733702000865235258 APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=3 R20=57843357231383569762 APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=5 R20=94446042497852443608 APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=4 R20=5482841897354245081 APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=0 R20=6186449190564376255 APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=3 R20=17866490748875196389 APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=6 R20=65004398853193761290 APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=4 R20=62078692386526115154 APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=5 R20=47720811184756957007 APRCL main test (4 27) done: p=7 q=1009 k=1 g=11 h=3 R20=37027746705990648117 APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=2 R20=24590373206209122940 APRCL main test (4 33) done: p=7 q=757 k=1 g=2 h=1 R20=83747730275195561187 APRCL main test (4 35) done: p=7 q=7561 k=1 g=13 h=5 R20=36983074504572095048 APRCL tests for p=7 completed Main divisor test: F1=0.0321 F2=0.0211 G=0.5163 S=0.4632 T=15120 G=74782747925938920649258307807073662459642692333179849186323126954684217656100 Main divisor test passed: 15120/15120 *** N is prime! Time: 15 sec
(75*10^513-57)/99 *** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(75*10^513-57)/99 N=757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757575757 Factor: 2^2 divides N - 1 Factor: 2 divides N + 1 Factor: 3^2 divides N - 1 Factor: 7 divides N - 1 Factor: 29 divides N + 1 Factor: 157 divides N - 1 Factor: 37321 divides N + 1 Factor: 51413 divides N + 1 Factorization results: F1=0.0090 F2=0.0215 F1=39564 F2=111289505234 Pass: gcd(5^((N-1)/2) - 1, N) = 1: R20=57575757575757575755 Pass: 5^(N-1) = 1 (mod N): R20=1 Fail: gcd(U{(N+1)/2}, N) not = 1: d=5 p=1 q=-1 R20=0 Fail: gcd(U{(N+1)/2}, N) not = 1: d=5 p=3 q=1 R20=0 Pass: gcd(U{(N+1)/2}, N) = 1: d=5 p=5 q=5 R20=2 Pass: U{N+1} = 0 (mod N): d=5 p=5 q=5 R20=0 Fail: gcd(5^((N-1)/3) - 1, N) not = 1: R20=0 Pass: gcd(11^((N-1)/3) - 1, N) = 1: R20=7974755452932825952 Pass: 11^(N-1) = 1 (mod N): R20=1 Pass: gcd(11^((N-1)/7) - 1, N) = 1: R20=5197284135969829374 Pass: gcd(U{(N+1)/29}, N) = 1: d=5 p=5 q=5 R20=36834194284813061103 Pass: gcd(11^((N-1)/157) - 1, N) = 1: R20=26121304731332160797 Pass: gcd(U{(N+1)/37321}, N) = 1: d=5 p=5 q=5 R20=60078472617499247632 Pass: gcd(U{(N+1)/51413}, N) = 1: d=5 p=5 q=5 R20=91060763168335139574 BLS tests passed: F1=0.0090 F2=0.0215 APRCL test T=1663200 S=6374607269252149351348236364198858183107507340543096493174471671724523866538508684164616416513318691705705999750265076240081895551211102786502190274006907838571149506147308950347925795223091311464421468152727412950601283745013132573942336518625 APRCL main test (1) at level 10 for p=2 APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=0 R20=1 APRCL L_2 condition satisfied APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=3 R20=0 APRCL main test (1 4) for p=2 q=7 not needed APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=0 R20=2 APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=1 R20=57575757575757575756 APRCL main test (1 7) done: p=2 q=31 k=1 g=3 h=1 R20=57575757575757575756 APRCL main test (1 8) done: p=2 q=61 k=2 g=2 h=3 R20=0 APRCL main test (1 9) done: p=2 q=19 k=1 g=2 h=0 R20=1 APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=1 R20=0 APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=0 R20=2 APRCL main test (1 12) for p=2 q=29 not needed APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=1 R20=57575757575757575756 APRCL main test (1 14) done: p=2 q=71 k=1 g=7 h=1 R20=57575757575757575756 APRCL main test (1 15) done: p=2 q=127 k=1 g=3 h=1 R20=57575757575757575756 APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=1 R20=57575757575757575756 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=57575757575757575756 APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=5 R20=72971015059252528734 APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=5 R20=56363176817461292334 APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=5 R20=64747156508685906998 APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=4 R20=60901891853570056841 APRCL main test (1 23) done: p=2 q=17 k=4 g=3 h=7 R20=36487712332249594248 APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=15 R20=57277502290727107737 APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=1 R20=39680239084397029646 APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=5 R20=57676297951171937628 APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=15 R20=89154697069932603599 APRCL main test (1 28) done: p=2 q=109 k=2 g=6 h=1 R20=0 APRCL main test (1 29) done: p=2 q=271 k=1 g=6 h=1 R20=57575757575757575756 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=12 R20=76813660659249304912 APRCL main test (1 32) done: p=2 q=541 k=2 g=2 h=1 R20=0 APRCL main test (1 33) done: p=2 q=757 k=2 g=2 h=3 R20=0 APRCL main test (1 34) done: p=2 q=2161 k=4 g=23 h=2 R20=80849150081627072363 APRCL main test (1 35) done: p=2 q=7561 k=3 g=13 h=2 R20=53930309943792807081 APRCL main test (1 36) done: p=2 q=15121 k=4 g=11 h=12 R20=79803588118681244209 APRCL main test (1 37) done: p=2 q=23 k=1 g=5 h=1 R20=57575757575757575756 APRCL main test (1 38) done: p=2 q=67 k=1 g=2 h=1 R20=57575757575757575756 APRCL main test (1 39) done: p=2 q=89 k=3 g=3 h=7 R20=50805562627982232025 APRCL main test (1 40) done: p=2 q=199 k=1 g=3 h=1 R20=57575757575757575756 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=0 R20=2 APRCL main test (1 43) done: p=2 q=463 k=1 g=3 h=1 R20=57575757575757575756 APRCL main test (1 44) done: p=2 q=617 k=3 g=3 h=6 R20=63279576168537971037 APRCL main test (1 45) done: p=2 q=661 k=2 g=2 h=1 R20=0 APRCL main test (1 46) done: p=2 q=881 k=4 g=3 h=8 R20=9697970652987917572 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=6 R20=10492852030751863458 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=3 R20=15208132768489879183 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=6 R20=15069003382225513135 APRCL main test (1 53) done: p=2 q=4159 k=1 g=3 h=0 R20=1 APRCL main test (1 54) done: p=2 q=4621 k=2 g=2 h=0 R20=2 APRCL main test (1 55) done: p=2 q=8317 k=2 g=6 h=3 R20=0 APRCL main test (1 56) done: p=2 q=9241 k=3 g=13 h=0 R20=9498811380512456771 APRCL main test (1 57) done: p=2 q=16633 k=3 g=15 h=6 R20=77448662677622944128 APRCL main test (1 58) done: p=2 q=18481 k=4 g=13 h=2 R20=4989951137166473377 APRCL main test (1 59) done: p=2 q=23761 k=4 g=7 h=9 R20=5937454067541271926 APRCL main test (1 60) done: p=2 q=101 k=2 g=2 h=3 R20=0 APRCL main test (1 61) done: p=2 q=151 k=1 g=6 h=1 R20=57575757575757575756 APRCL main test (1 62) done: p=2 q=401 k=4 g=3 h=13 R20=16902345649163976430 APRCL main test (1 63) done: p=2 q=601 k=3 g=7 h=2 R20=72818628405752905587 APRCL main test (1 64) done: p=2 q=701 k=2 g=2 h=1 R20=0 APRCL main test (1 65) done: p=2 q=1051 k=1 g=7 h=1 R20=57575757575757575756 APRCL main test (1 66) done: p=2 q=1201 k=4 g=11 h=10 R20=20575356600267650542 APRCL main test (1 67) done: p=2 q=1801 k=3 g=11 h=2 R20=66719959827941975083 APRCL main test (1 68) done: p=2 q=2801 k=4 g=3 h=13 R20=86983734350891615728 APRCL main test (1 69) done: p=2 q=3301 k=2 g=6 h=1 R20=0 APRCL main test (1 70) done: p=2 q=3851 k=1 g=2 h=0 R20=1 APRCL main test (1 71) done: p=2 q=4201 k=3 g=11 h=0 R20=5703867211008601 APRCL main test (1 72) done: p=2 q=4951 k=1 g=6 h=1 R20=57575757575757575756 APRCL main test (1 73) done: p=2 q=6301 k=2 g=10 h=1 R20=0 APRCL main test (1 74) done: p=2 q=9901 k=2 g=2 h=2 R20=57575757575757575755 APRCL main test (1 75) done: p=2 q=11551 k=1 g=7 h=1 R20=57575757575757575756 APRCL main test (1 76) done: p=2 q=12601 k=3 g=11 h=7 R20=96846968045481961860 APRCL main test (1 77) done: p=2 q=14851 k=1 g=2 h=1 R20=57575757575757575756 APRCL main test (1 78) done: p=2 q=15401 k=3 g=6 h=6 R20=19717430777667662668 APRCL main test (1 79) done: p=2 q=19801 k=3 g=13 h=6 R20=51496699882143938831 APRCL main test (1 80) done: p=2 q=97 k=5 g=5 h=14 R20=93424517960869995820 APRCL main test (1 81) done: p=2 q=353 k=5 g=3 h=31 R20=34288022094000119818 APRCL main test (1 82) done: p=2 q=673 k=5 g=5 h=31 R20=91513243071066185586 APRCL main test (1 83) done: p=2 q=2017 k=5 g=5 h=12 R20=11882638280603687771 APRCL main test (1 84) done: p=2 q=3169 k=5 g=7 h=3 R20=30998841835397943498 APRCL main test (1 85) done: p=2 q=3361 k=5 g=22 h=14 R20=77666069746638932867 APRCL main test (1 86) done: p=2 q=5281 k=5 g=7 h=16 R20=62001842281979506878 APRCL main test (1 87) done: p=2 q=7393 k=5 g=5 h=12 R20=1897230448803698838 APRCL main test (1 88) done: p=2 q=21601 k=5 g=7 h=12 R20=81776242375678832107 APRCL tests for p=2 completed APRCL main test (2) at level 10 for p=3 APRCL main test (2 4) done: p=3 q=7 k=1 g=3 h=0 R20=2 APRCL L_3 condition satisfied APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=1 R20=1 APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=2 R20=57575757575757575754 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=0 APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=1 R20=0 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=1 R20=0 APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=0 R20=2 APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=0 R20=2 APRCL main test (2 18) done: p=3 q=631 k=2 g=3 h=3 R20=1 APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=6 R20=57575757575757575750 APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=1 R20=0 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=0 R20=2 APRCL main test (2 27) done: p=3 q=1009 k=2 g=11 h=2 R20=0 APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=22 R20=56164103867514355827 APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=13 R20=58639336051249310216 APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=4 R20=13767089435553030393 APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=17 R20=34414573838960055107 APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=25 R20=64310234516737749836 APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=14 R20=92130735498024173522 APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=21 R20=20988081036425523769 APRCL main test (2 35) done: p=3 q=7561 k=3 g=13 h=12 R20=8616760269344553411 APRCL main test (2 36) done: p=3 q=15121 k=3 g=11 h=16 R20=66725282383073394225 APRCL main test (2 38) done: p=3 q=67 k=1 g=2 h=0 R20=2 APRCL main test (2 40) done: p=3 q=199 k=2 g=3 h=4 R20=0 APRCL main test (2 41) done: p=3 q=331 k=1 g=3 h=0 R20=2 APRCL main test (2 42) done: p=3 q=397 k=2 g=5 h=6 R20=57575757575757575750 APRCL main test (2 43) done: p=3 q=463 k=1 g=3 h=1 R20=1 APRCL main test (2 45) done: p=3 q=661 k=1 g=2 h=2 R20=57575757575757575754 APRCL main test (2 47) done: p=3 q=991 k=2 g=6 h=6 R20=57575757575757575750 APRCL main test (2 48) done: p=3 q=1321 k=1 g=13 h=2 R20=57575757575757575754 APRCL main test (2 49) done: p=3 q=2311 k=1 g=3 h=2 R20=57575757575757575754 APRCL main test (2 50) done: p=3 q=2377 k=3 g=5 h=9 R20=52134329727720738844 APRCL main test (2 51) done: p=3 q=2971 k=3 g=10 h=11 R20=13004456920797968325 APRCL main test (2 52) done: p=3 q=3697 k=1 g=5 h=2 R20=57575757575757575754 APRCL main test (2 53) done: p=3 q=4159 k=3 g=3 h=4 R20=12215257166622650259 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=4 R20=69890148205105582726 APRCL main test (2 56) done: p=3 q=9241 k=1 g=13 h=2 R20=57575757575757575754 APRCL main test (2 57) done: p=3 q=16633 k=3 g=15 h=14 R20=13827472705544882273 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=24 R20=89217199749507427724 APRCL main test (2 61) done: p=3 q=151 k=1 g=6 h=0 R20=2 APRCL main test (2 63) done: p=3 q=601 k=1 g=7 h=2 R20=57575757575757575754 APRCL main test (2 65) done: p=3 q=1051 k=1 g=7 h=2 R20=57575757575757575754 APRCL main test (2 66) done: p=3 q=1201 k=1 g=11 h=1 R20=1 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=2 R20=57575757575757575754 APRCL main test (2 71) done: p=3 q=4201 k=1 g=11 h=2 R20=57575757575757575754 APRCL main test (2 72) done: p=3 q=4951 k=2 g=6 h=7 R20=0 APRCL main test (2 73) done: p=3 q=6301 k=2 g=10 h=1 R20=0 APRCL main test (2 74) done: p=3 q=9901 k=2 g=2 h=0 R20=6 APRCL main test (2 75) done: p=3 q=11551 k=1 g=7 h=2 R20=57575757575757575754 APRCL main test (2 76) done: p=3 q=12601 k=2 g=11 h=8 R20=0 APRCL main test (2 77) done: p=3 q=14851 k=3 g=2 h=14 R20=90873189091241032409 APRCL main test (2 79) done: p=3 q=19801 k=2 g=13 h=1 R20=0 APRCL main test (2 80) done: p=3 q=97 k=1 g=5 h=1 R20=1 APRCL main test (2 82) done: p=3 q=673 k=1 g=5 h=1 R20=1 APRCL main test (2 83) done: p=3 q=2017 k=2 g=5 h=8 R20=0 APRCL main test (2 84) done: p=3 q=3169 k=2 g=7 h=1 R20=0 APRCL main test (2 85) done: p=3 q=3361 k=1 g=22 h=2 R20=57575757575757575754 APRCL main test (2 86) done: p=3 q=5281 k=1 g=7 h=0 R20=2 APRCL main test (2 87) done: p=3 q=7393 k=1 g=5 h=0 R20=2 APRCL main test (2 88) done: p=3 q=21601 k=3 g=7 h=6 R20=4209709336828245532 APRCL tests for p=3 completed APRCL main test (3) at level 10 for p=5 APRCL L_5 condition satisfied APRCL main test (3 6) done: p=5 q=11 k=1 g=2 h=3 R20=19258702729777109942 APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=3 R20=53927411471636237505 APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=3 R20=85271961756777666479 APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=2 R20=85657650957855469317 APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=1 R20=56416776373134238637 APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=1 R20=11169805464632624849 APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=0 R20=82560605291237594147 APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=1 R20=43586624353952143464 APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=2 R20=48522704739242514376 APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=0 R20=54401847018455217439 APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=0 R20=81631849470446351449 APRCL main test (3 25) done: p=5 q=241 k=1 g=7 h=3 R20=83459724220041707688 APRCL main test (3 29) done: p=5 q=271 k=1 g=6 h=2 R20=42358306172796716226 APRCL main test (3 32) done: p=5 q=541 k=1 g=2 h=3 R20=61578263976096428493 APRCL main test (3 34) done: p=5 q=2161 k=1 g=23 h=4 R20=54229212092375088066 APRCL main test (3 35) done: p=5 q=7561 k=1 g=13 h=0 R20=73434866170218776760 APRCL main test (3 36) done: p=5 q=15121 k=1 g=11 h=4 R20=83654926243330928486 APRCL main test (3 41) done: p=5 q=331 k=1 g=3 h=0 R20=70103661638058001727 APRCL main test (3 45) done: p=5 q=661 k=1 g=2 h=3 R20=9696829598138988166 APRCL main test (3 46) done: p=5 q=881 k=1 g=3 h=0 R20=13184737171641950418 APRCL main test (3 47) done: p=5 q=991 k=1 g=6 h=4 R20=50343366419229815426 APRCL main test (3 48) done: p=5 q=1321 k=1 g=13 h=2 R20=84462169361549949169 APRCL main test (3 49) done: p=5 q=2311 k=1 g=3 h=1 R20=41770118395034768685 APRCL main test (3 51) done: p=5 q=2971 k=1 g=10 h=4 R20=17101016952243455587 APRCL main test (3 54) done: p=5 q=4621 k=1 g=2 h=0 R20=86737089601125762453 APRCL main test (3 56) done: p=5 q=9241 k=1 g=13 h=1 R20=72869693960297638000 APRCL main test (3 58) done: p=5 q=18481 k=1 g=13 h=2 R20=48682966773889748405 APRCL main test (3 59) done: p=5 q=23761 k=1 g=7 h=0 R20=56850084612839097472 APRCL main test (3 60) done: p=5 q=101 k=2 g=2 h=7 R20=19835332973337322712 APRCL main test (3 61) done: p=5 q=151 k=2 g=6 h=14 R20=4450494563707958296 APRCL main test (3 62) done: p=5 q=401 k=2 g=3 h=13 R20=85813790228545189291 APRCL main test (3 63) done: p=5 q=601 k=2 g=7 h=14 R20=18701032820435396554 APRCL main test (3 64) done: p=5 q=701 k=2 g=2 h=5 R20=29914335345763265746 APRCL main test (3 65) done: p=5 q=1051 k=2 g=7 h=7 R20=76312397738412222679 APRCL main test (3 66) done: p=5 q=1201 k=2 g=11 h=18 R20=42897098757857150499 APRCL main test (3 67) done: p=5 q=1801 k=2 g=11 h=14 R20=57206649060016747013 APRCL main test (3 68) done: p=5 q=2801 k=2 g=3 h=6 R20=59830906265419267173 APRCL main test (3 69) done: p=5 q=3301 k=2 g=6 h=17 R20=77387801645724263518 APRCL main test (3 70) done: p=5 q=3851 k=2 g=2 h=6 R20=10784430142146714109 APRCL main test (3 71) done: p=5 q=4201 k=2 g=11 h=8 R20=40772545085947260834 APRCL main test (3 72) done: p=5 q=4951 k=2 g=6 h=3 R20=45929912101606762080 APRCL main test (3 73) done: p=5 q=6301 k=2 g=10 h=5 R20=2600420569472938181 APRCL main test (3 74) done: p=5 q=9901 k=2 g=2 h=16 R20=88658482153494455756 APRCL main test (3 75) done: p=5 q=11551 k=2 g=7 h=16 R20=86717312871722757485 APRCL main test (3 76) done: p=5 q=12601 k=2 g=11 h=12 R20=39765195594813485882 APRCL main test (3 77) done: p=5 q=14851 k=2 g=2 h=6 R20=98938795476284766406 APRCL main test (3 78) done: p=5 q=15401 k=2 g=6 h=20 R20=60081450217032135661 APRCL main test (3 79) done: p=5 q=19801 k=2 g=13 h=11 R20=75329570924479188273 APRCL main test (3 85) done: p=5 q=3361 k=1 g=22 h=4 R20=75957742831010685208 APRCL main test (3 86) done: p=5 q=5281 k=1 g=7 h=3 R20=87983263994016061832 APRCL main test (3 88) done: p=5 q=21601 k=2 g=7 h=8 R20=87167105450142780426 APRCL tests for p=5 completed APRCL main test (4) at level 10 for p=7 APRCL L_7 condition satisfied APRCL main test (4 12) for p=7 q=29 not needed APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=0 R20=6 APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=1 R20=1 APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=6 R20=57575757575757575746 APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=1 R20=1 APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=0 R20=6 APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=2 R20=1 APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=1 R20=1 APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=1 R20=1 APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=0 R20=6 APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=5 R20=1 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=1 R20=1 APRCL main test (4 33) done: p=7 q=757 k=1 g=2 h=0 R20=6 APRCL main test (4 35) done: p=7 q=7561 k=1 g=13 h=6 R20=57575757575757575746 APRCL main test (4 36) done: p=7 q=15121 k=1 g=11 h=6 R20=57575757575757575746 APRCL main test (4 43) done: p=7 q=463 k=1 g=3 h=6 R20=57575757575757575746 APRCL main test (4 44) done: p=7 q=617 k=1 g=3 h=0 R20=6 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=6 R20=57575757575757575746 APRCL main test (4 53) done: p=7 q=4159 k=1 g=3 h=2 R20=1 APRCL main test (4 54) done: p=7 q=4621 k=1 g=2 h=5 R20=1 APRCL main test (4 55) done: p=7 q=8317 k=1 g=6 h=4 R20=1 APRCL main test (4 56) done: p=7 q=9241 k=1 g=13 h=2 R20=1 APRCL main test (4 57) done: p=7 q=16633 k=1 g=15 h=6 R20=57575757575757575746 APRCL main test (4 58) done: p=7 q=18481 k=1 g=13 h=0 R20=6 APRCL main test (4 64) done: p=7 q=701 k=1 g=2 h=1 R20=1 APRCL main test (4 65) done: p=7 q=1051 k=1 g=7 h=1 R20=1 APRCL main test (4 68) done: p=7 q=2801 k=1 g=3 h=5 R20=1 APRCL main test (4 70) done: p=7 q=3851 k=1 g=2 h=1 R20=1 APRCL main test (4 71) done: p=7 q=4201 k=1 g=11 h=3 R20=1 APRCL main test (4 73) done: p=7 q=6301 k=1 g=10 h=5 R20=1 APRCL main test (4 75) done: p=7 q=11551 k=1 g=7 h=5 R20=1 APRCL main test (4 76) done: p=7 q=12601 k=1 g=11 h=1 R20=1 APRCL main test (4 78) done: p=7 q=15401 k=1 g=6 h=6 R20=57575757575757575746 APRCL main test (4 82) done: p=7 q=673 k=1 g=5 h=5 R20=1 APRCL main test (4 83) done: p=7 q=2017 k=1 g=5 h=2 R20=1 APRCL main test (4 85) done: p=7 q=3361 k=1 g=22 h=6 R20=57575757575757575746 APRCL main test (4 87) done: p=7 q=7393 k=1 g=5 h=6 R20=57575757575757575746 APRCL tests for p=7 completed APRCL main test (5) at level 10 for p=11 APRCL L_11 condition satisfied APRCL main test (5 37) done: p=11 q=23 k=1 g=5 h=3 R20=75491779707636444917 APRCL main test (5 38) done: p=11 q=67 k=1 g=2 h=6 R20=21725164136619121879 APRCL main test (5 39) done: p=11 q=89 k=1 g=3 h=5 R20=37248264247536135123 APRCL main test (5 40) done: p=11 q=199 k=1 g=3 h=3 R20=23851273624721993267 APRCL main test (5 41) done: p=11 q=331 k=1 g=3 h=9 R20=98125114031342535053 APRCL main test (5 42) done: p=11 q=397 k=1 g=5 h=5 R20=38181057504212225218 APRCL main test (5 43) done: p=11 q=463 k=1 g=3 h=6 R20=56983485196522326823 APRCL main test (5 44) done: p=11 q=617 k=1 g=3 h=6 R20=19805753597286583099 APRCL main test (5 45) done: p=11 q=661 k=1 g=2 h=0 R20=2860002972205950038 APRCL main test (5 46) done: p=11 q=881 k=1 g=3 h=3 R20=96844109241776104559 APRCL main test (5 47) done: p=11 q=991 k=1 g=6 h=10 R20=23532269031958978574 APRCL main test (5 48) done: p=11 q=1321 k=1 g=13 h=8 R20=24533569811449616237 APRCL main test (5 49) done: p=11 q=2311 k=1 g=3 h=5 R20=50438441952419383131 APRCL main test (5 50) done: p=11 q=2377 k=1 g=5 h=7 R20=30304019951286700439 APRCL main test (5 51) done: p=11 q=2971 k=1 g=10 h=0 R20=14709599077046632593 APRCL main test (5 52) done: p=11 q=3697 k=1 g=5 h=3 R20=45234034732973483054 APRCL main test (5 53) done: p=11 q=4159 k=1 g=3 h=1 R20=60726007647994511063 APRCL main test (5 54) done: p=11 q=4621 k=1 g=2 h=2 R20=84303017198494928875 APRCL main test (5 55) done: p=11 q=8317 k=1 g=6 h=5 R20=53164005771506590012 APRCL main test (5 56) done: p=11 q=9241 k=1 g=13 h=3 R20=71302428644596039172 APRCL main test (5 57) done: p=11 q=16633 k=1 g=15 h=8 R20=27123902690659826184 APRCL main test (5 58) done: p=11 q=18481 k=1 g=13 h=8 R20=70818740609234120283 APRCL main test (5 59) done: p=11 q=23761 k=1 g=7 h=2 R20=27903928378825920737 APRCL main test (5 69) done: p=11 q=3301 k=1 g=6 h=3 R20=88151982969920948722 APRCL main test (5 70) done: p=11 q=3851 k=1 g=2 h=9 R20=43000303503292248684 APRCL main test (5 72) done: p=11 q=4951 k=1 g=6 h=1 R20=41331768525380430894 APRCL main test (5 74) done: p=11 q=9901 k=1 g=2 h=7 R20=73559031907991572023 APRCL main test (5 75) done: p=11 q=11551 k=1 g=7 h=0 R20=95500988739347607638 APRCL main test (5 77) done: p=11 q=14851 k=1 g=2 h=8 R20=79886063755257309132 APRCL main test (5 78) done: p=11 q=15401 k=1 g=6 h=8 R20=52410696931288044921 APRCL main test (5 79) done: p=11 q=19801 k=1 g=13 h=10 R20=72713337734513535047 APRCL main test (5 81) done: p=11 q=353 k=1 g=3 h=0 R20=39164693433313797967 APRCL main test (5 84) done: p=11 q=3169 k=1 g=7 h=8 R20=13257595616407084636 APRCL main test (5 86) done: p=11 q=5281 k=1 g=7 h=6 R20=2971528432612981557 APRCL main test (5 87) done: p=11 q=7393 k=1 g=5 h=8 R20=370109332136858484 APRCL tests for p=11 completed Main divisor test: F1=0.0090 F2=0.0210 G=0.5053 S=0.4754 T=1663200 G=14033882719308393778146814118436940364874436237455193121641771992247368066979923222410032060173736927029302305283628390421026518422796324216132728028417874146292876734645569606991372881778418458567929378429019681760607232848483431505430775881737317551500651500 Parameters saved: 4 1663200 1488202 0 0 1 1801 Main divisor test passed: 1663200/1663200 *** N is prime! Time: 1808 sec
(75*10^1079-57)/99 == BPI:B2641029AD510 ============================================ TITANIX 2.1.0 - Primality Certificate Started 07.23.2001 at 12:08:21 PM Running time 2h 18mn 19s Candidate certified prime ================================================================= Proved prime with Titanix by Hans Rosenthal. The zipped file "757_539.zip" is 114 KB. When unpacked the file "Titanix-B2641029AD510-001.out" is 273 KB.
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(75*10^1415-57)/99 (75*10^1415-57)/99 == BPI:B2632003161A4 ============================================ TITANIX 2.1.0 - Primality Certificate Started 07.08.2001 at 12:53:56 AM Running time 7h 13mn 6s Candidate certified prime ================================================================= Proved prime with Titanix by Hans Rosenthal. The zipped file "757_707.zip" is 180 KB. When unpacked the file "Titanix-B2632003161A4-001.out" is 426 KB.
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(75*10^6249-57)/99 [PRIMO - Task Report] Version=2.0.0 - beta 4 Task=Certification ID=B28B3040D6886 Created=04.10.2003 06:53:07 PM [Common] Path=C:\Programme\Primo200\Work\ Selected=1 Processed=1 Certified=1 Candidate #1=Certified, 3191h 36mn 47s [Candidate #1] Input=Primo-B283E033A703E-001.tmp BacktrackReport=Primo-B283E033A703E-001.br Output=Primo-B283E033A703E-001.out Status=Candidate certified prime ------------------------------- [PRIMO - Task Report] Version=2.0.0 - beta 4 Task=Verification ID=B293804335208 Created=08.21.2003 07:34:32 PM [Common] Path=C:\Programme\Primo200\Work\ Selected=1 Processed=1 Valid=1 Certificate #1=Valid, 35h 23mn 47s [Certificate #1] Output=Primo-B283E033A703E-001.out Status=Valid certificate Proved prime with 'Primo 2.0.0 - beta 4' by Hans Rosenthal using a 1333 MHz AMD Athlon cpu. The certificate will be available from Marcel Martin's website at http://www.ellipsa.net/ .
(75*10^13265-57)/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 (75*10^13265-57)/99 is 3-PRP! (49.480000 seconds) (75*10^13265-57)/99 is 5-PRP! (49.540000 seconds) (75*10^13265-57)/99 is 7-PRP! (49.440000 seconds) (75*10^13265-57)/99 is 11-PRP! (49.430000 seconds) (75*10^13265-57)/99 is 13-PRP! (49.490000 seconds) (75*10^13265-57)/99 is 17-PRP! (49.490000 seconds) (75*10^13265-57)/99 is 19-PRP! (49.550000 seconds) (75*10^13265-57)/99 is 23-PRP! (50.530000 seconds) (75*10^13265-57)/99 is 29-PRP! (49.540000 seconds) (75*10^13265-57)/99 is 31-PRP! (49.590000 seconds) (75*10^13265-57)/99 is 37-PRP! (49.480000 seconds) (75*10^13265-57)/99 is 41-PRP! (50.310000 seconds) (75*10^13265-57)/99 is 43-PRP! (49.480000 seconds) (75*10^13265-57)/99 is 47-PRP! (49.430000 seconds) (75*10^13265-57)/99 is 53-PRP! (49.540000 seconds) (75*10^13265-57)/99 is 59-PRP! (49.490000 seconds) (75*10^13265-57)/99 is 61-PRP! (49.490000 seconds) (75*10^13265-57)/99 is 251-PRP! (49.490000 seconds)
(75*10^14579-57)/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 (75*10^14579-57)/99 is 3-PRP! (54.380000 seconds) (75*10^14579-57)/99 is 5-PRP! (54.380000 seconds) (75*10^14579-57)/99 is 7-PRP! (54.430000 seconds) (75*10^14579-57)/99 is 11-PRP! (54.430000 seconds) (75*10^14579-57)/99 is 13-PRP! (54.380000 seconds) (75*10^14579-57)/99 is 17-PRP! (54.380000 seconds) (75*10^14579-57)/99 is 19-PRP! (54.320000 seconds) (75*10^14579-57)/99 is 23-PRP! (55.470000 seconds) (75*10^14579-57)/99 is 29-PRP! (54.600000 seconds) (75*10^14579-57)/99 is 31-PRP! (54.380000 seconds) (75*10^14579-57)/99 is 37-PRP! (54.320000 seconds) (75*10^14579-57)/99 is 41-PRP! (54.320000 seconds) (75*10^14579-57)/99 is 43-PRP! (54.380000 seconds) (75*10^14579-57)/99 is 47-PRP! (54.330000 seconds) (75*10^14579-57)/99 is 53-PRP! (54.320000 seconds) (75*10^14579-57)/99 is 59-PRP! (54.330000 seconds) (75*10^14579-57)/99 is 61-PRP! (54.370000 seconds) (75*10^14579-57)/99 is 251-PRP! (54.380000 seconds)
(75*10^15293-57)/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 (75*10^15293-57)/99 is 3-PRP! (57.070000 seconds) (75*10^15293-57)/99 is 5-PRP! (57.120000 seconds) (75*10^15293-57)/99 is 7-PRP! (57.060000 seconds) (75*10^15293-57)/99 is 11-PRP! (57.070000 seconds) (75*10^15293-57)/99 is 13-PRP! (57.230000 seconds) (75*10^15293-57)/99 is 17-PRP! (57.120000 seconds) (75*10^15293-57)/99 is 19-PRP! (57.120000 seconds) (75*10^15293-57)/99 is 23-PRP! (57.120000 seconds) (75*10^15293-57)/99 is 29-PRP! (57.180000 seconds) (75*10^15293-57)/99 is 31-PRP! (57.120000 seconds) (75*10^15293-57)/99 is 37-PRP! (57.070000 seconds) (75*10^15293-57)/99 is 41-PRP! (57.130000 seconds) (75*10^15293-57)/99 is 43-PRP! (57.070000 seconds) (75*10^15293-57)/99 is 47-PRP! (57.070000 seconds) (75*10^15293-57)/99 is 53-PRP! (57.060000 seconds) (75*10^15293-57)/99 is 59-PRP! (57.070000 seconds) (75*10^15293-57)/99 is 61-PRP! (57.060000 seconds) (75*10^15293-57)/99 is 251-PRP! (57.120000 seconds)
(75*10^41657-57)/99 By Ray Chandler PFGW Version 3.3.6.20100908.Win_Stable [GWNUM 25.14] Primality testing (75*10^41657-57)/99 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 5, base 4+sqrt(5) (75*10^41657-57)/99 is Fermat and Lucas PRP! (500.2901s+0.0028s)
(75*10^72941-57)/99 By Ray Chandler PFGW Version 3.4.6.64BIT.20110307.Win_Dev [GWNUM 26.5] Primality testing (75*10^72941-57)/99 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N-1 test using base 5 Running N+1 test using discriminant 11, base 2+sqrt(11) Calling N+1 BLS with factored part 0.02% and helper 0.01% (0.06% proof) (75*10^72941-57)/99 is Fermat and Lucas PRP! (1897.1641s+0.0259s)