Smoothly Undulating Palindromic Primes

(94*10^5-49)/99

*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(94*10^5-49)/99
N=94949
*** N is prime!
Time: 0 sec

(94*10^17-49)/99
*** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(9410^17-49)/99 N=94949494949494949 Factor: 2^2 divides N - 1 Factor: 2 divides N + 1 Factor: 3 divides N + 1 Factor: 5^2 divides N + 1 Factor: 7^2 divides N - 1 Factor: 8647 divides N + 1 Factorization results: F1=0.1350 F2=0.3601 F1=196 F2=1297050 Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=94949494949494947 Pass: 3^(N-1) = 1 (mod N): R20=1 Fail: gcd(U{(N+1)/2}, N) not = 1: d=21 p=1 q=-5 R20=0 Pass: gcd(U{(N+1)/2}, N) = 1: d=21 p=3 q=-3 R20=15164378622157200 Pass: U{N+1} = 0 (mod N): d=21 p=3 q=-3 R20=0 Pass: gcd(U{(N+1)/3}, N) = 1: d=21 p=3 q=-3 R20=80994161678135484 Fail: gcd(U{(N+1)/5}, N) not = 1: d=21 p=3 q=-3 R20=0 Fail: gcd(U{(N+1)/5}, N) not = 1: d=21 p=5 q=1 R20=0 Fail: gcd(U{(N+1)/5}, N) not = 1: d=21 p=7 q=7 R20=0 Pass: gcd(U{(N+1)/5}, N) = 1: d=21 p=9 q=15 R20=50877680642346872 Pass: U{N+1} = 0 (mod N): d=21 p=9 q=15 R20=0 Fail: gcd(3^((N-1)/7) - 1, N) not = 1: R20=0 Pass: gcd(15^((N-1)/7) - 1, N) = 1: R20=52627428529815306 Pass: 15^(N-1) = 1 (mod N): R20=1 Pass: gcd(U{(N+1)/8647}, N) = 1: d=21 p=9 q=15 R20=49689115071392752 BLS tests passed: F1=0.1350 F2=0.3601 Main divisor test: F1=0.1350 F2=0.3423 G=0.4773 S=0.0000 T=1 G=127110900 Main divisor test passed: 1/1 Final divisor test: F=0.3601 G=0.4773 H=1.1975 t=1 a=1 Final divisor test passed: 5/5 r=5 i=0 ** N is prime! Time: 0 sec

(94*10^17-49)/99


*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(94*10^17-49)/99
N=94949494949494949
Factor: 2^2 divides N - 1
Factor: 2 divides N + 1
Factor: 3 divides N + 1
Factor: 5^2 divides N + 1
Factor: 7^2 divides N - 1
Factor: 8647 divides N + 1
Factorization results: F1=0.1350 F2=0.3601
F1=196
F2=1297050
Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=94949494949494947
Pass: 3^(N-1) = 1 (mod N): R20=1
Fail: gcd(U{(N+1)/2}, N) not = 1: d=21 p=1 q=-5 R20=0
Pass: gcd(U{(N+1)/2}, N) = 1: d=21 p=3 q=-3 R20=15164378622157200
Pass: U{N+1} = 0 (mod N): d=21 p=3 q=-3 R20=0
Pass: gcd(U{(N+1)/3}, N) = 1: d=21 p=3 q=-3 R20=80994161678135484
Fail: gcd(U{(N+1)/5}, N) not = 1: d=21 p=3 q=-3 R20=0
Fail: gcd(U{(N+1)/5}, N) not = 1: d=21 p=5 q=1 R20=0
Fail: gcd(U{(N+1)/5}, N) not = 1: d=21 p=7 q=7 R20=0
Pass: gcd(U{(N+1)/5}, N) = 1: d=21 p=9 q=15 R20=50877680642346872
Pass: U{N+1} = 0 (mod N): d=21 p=9 q=15 R20=0
Fail: gcd(3^((N-1)/7) - 1, N) not = 1: R20=0
Pass: gcd(15^((N-1)/7) - 1, N) = 1: R20=52627428529815306
Pass: 15^(N-1) = 1 (mod N): R20=1
Pass: gcd(U{(N+1)/8647}, N) = 1: d=21 p=9 q=15 R20=49689115071392752
BLS tests passed: F1=0.1350 F2=0.3601
Main divisor test: F1=0.1350 F2=0.3423 G=0.4773 S=0.0000 T=1
G=127110900
Main divisor test passed: 1/1
Final divisor test: F=0.3601 G=0.4773 H=1.1975 t=1 a=1
Final divisor test passed: 5/5 r=5 i=0
*** N is prime!
Time: 0 sec

(94*10^65-49)/99
*** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(9410^65-49)/99 N=94949494949494949494949494949494949494949494949494949494949494949 Factor: 2^2 divides N - 1 Factor: 2 divides N + 1 Factor: 3 divides N + 1 Factor: 5^2 divides N + 1 Factor: 7 divides N - 1 Factor: 211 divides N + 1 Factor: 307 divides N - 1 Factor: 49463 divides N - 1 Factorization results: F1=0.1328 F2=0.0693 F1=425183948 F2=31650 Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=49494949494949494947 Pass: 3^(N-1) = 1 (mod N): R20=1 Fail: gcd(U{(N+1)/2}, N) not = 1: d=21 p=1 q=-5 R20=0 Pass: gcd(U{(N+1)/2}, N) = 1: d=21 p=3 q=-3 R20=30858083144371414869 Pass: U{N+1} = 0 (mod N): d=21 p=3 q=-3 R20=0 Pass: gcd(U{(N+1)/3}, N) = 1: d=21 p=3 q=-3 R20=2950441950894746347 Pass: gcd(U{(N+1)/5}, N) = 1: d=21 p=3 q=-3 R20=30311041278775111995 Pass: gcd(3^((N-1)/7) - 1, N) = 1: R20=56019342171706509467 Pass: gcd(U{(N+1)/211}, N) = 1: d=21 p=3 q=-3 R20=94799673423714805221 Pass: gcd(3^((N-1)/307) - 1, N) = 1: R20=68150530396561506457 Pass: gcd(3^((N-1)/49463) - 1, N) = 1: R20=88610273254095866031 BLS tests passed: F1=0.1328 F2=0.0693 APRCL test T=1260 S=162881621902321411661 APRCL main test (1) at level 4 for p=2 APRCL L_2 condition satisfied APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=1 R20=49494949494949494948 APRCL main test (1 3) for p=2 q=5 not needed 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=2 R20=49494949494949494947 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=1 R20=49494949494949494948 APRCL main test (1 8) done: p=2 q=61 k=2 g=2 h=3 R20=0 APRCL main test (1 9) done: p=2 q=19 k=1 g=2 h=1 R20=49494949494949494948 APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=0 R20=2 APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=3 R20=0 APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=2 R20=49494949494949494947 APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=1 R20=49494949494949494948 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) for p=2 q=211 not needed APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=1 R20=0 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) for p=3 q=7 not needed APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=2 R20=7614607614607614608 APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=0 R20=3160638644509612252 APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=0 R20=72793508859082629574 APRCL main test (2 9) done: p=3 q=19 k=2 g=2 h=6 R20=71245771610256229005 APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=4 R20=26021073866216305953 APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=3 R20=64481068457043124402 APRCL main test (2 13) done: p=3 q=43 k=1 g=3 h=1 R20=92600422832980972515 APRCL main test (2 15) done: p=3 q=127 k=2 g=3 h=4 R20=1011965501223613598 APRCL main test (2 16) for p=3 q=211 not needed APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=2 R20=81086398426065884498 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=2 R20=20330325126321425630 APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=3 R20=1776691551456440572 APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=1 R20=36617017566003985967 APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=3 R20=4456585745805444199 APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=1 R20=71290245264087018754 APRCL main test (3 16) for p=5 q=211 not needed APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=1 R20=28851310480670517190 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=6 R20=49494949494949494938 APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=1 R20=1 APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=4 R20=1 APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=5 R20=1 APRCL main test (4 16) for p=7 q=211 not needed APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=1 R20=1 APRCL tests for p=7 completed Main divisor test: F1=0.1328 F2=0.0646 G=0.5085 S=0.3111 T=1260 G=1095954852978168960368697968963100 Main divisor test passed: 1260/1260 ** N is prime! Time: 0 sec

(94*10^65-49)/99


*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(94*10^65-49)/99
N=94949494949494949494949494949494949494949494949494949494949494949
Factor: 2^2 divides N - 1
Factor: 2 divides N + 1
Factor: 3 divides N + 1
Factor: 5^2 divides N + 1
Factor: 7 divides N - 1
Factor: 211 divides N + 1
Factor: 307 divides N - 1
Factor: 49463 divides N - 1
Factorization results: F1=0.1328 F2=0.0693
F1=425183948
F2=31650
Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=49494949494949494947
Pass: 3^(N-1) = 1 (mod N): R20=1
Fail: gcd(U{(N+1)/2}, N) not = 1: d=21 p=1 q=-5 R20=0
Pass: gcd(U{(N+1)/2}, N) = 1: d=21 p=3 q=-3 R20=30858083144371414869
Pass: U{N+1} = 0 (mod N): d=21 p=3 q=-3 R20=0
Pass: gcd(U{(N+1)/3}, N) = 1: d=21 p=3 q=-3 R20=2950441950894746347
Pass: gcd(U{(N+1)/5}, N) = 1: d=21 p=3 q=-3 R20=30311041278775111995
Pass: gcd(3^((N-1)/7) - 1, N) = 1: R20=56019342171706509467
Pass: gcd(U{(N+1)/211}, N) = 1: d=21 p=3 q=-3 R20=94799673423714805221
Pass: gcd(3^((N-1)/307) - 1, N) = 1: R20=68150530396561506457
Pass: gcd(3^((N-1)/49463) - 1, N) = 1: R20=88610273254095866031
BLS tests passed: F1=0.1328 F2=0.0693
APRCL test
T=1260
S=162881621902321411661
APRCL main test (1) at level 4 for p=2
APRCL L_2 condition satisfied
APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=1 R20=49494949494949494948
APRCL main test (1 3) for p=2 q=5 not needed
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=2 R20=49494949494949494947
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=1 R20=49494949494949494948
APRCL main test (1 8) done: p=2 q=61 k=2 g=2 h=3 R20=0
APRCL main test (1 9) done: p=2 q=19 k=1 g=2 h=1 R20=49494949494949494948
APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=0 R20=2
APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=3 R20=0
APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=2 R20=49494949494949494947
APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=1 R20=49494949494949494948
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) for p=2 q=211 not needed
APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=1 R20=0
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) for p=3 q=7 not needed
APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=2 R20=7614607614607614608
APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=0 R20=3160638644509612252
APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=0 R20=72793508859082629574
APRCL main test (2 9) done: p=3 q=19 k=2 g=2 h=6 R20=71245771610256229005
APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=4 R20=26021073866216305953
APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=3 R20=64481068457043124402
APRCL main test (2 13) done: p=3 q=43 k=1 g=3 h=1 R20=92600422832980972515
APRCL main test (2 15) done: p=3 q=127 k=2 g=3 h=4 R20=1011965501223613598
APRCL main test (2 16) for p=3 q=211 not needed
APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=2 R20=81086398426065884498
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=2 R20=20330325126321425630
APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=3 R20=1776691551456440572
APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=1 R20=36617017566003985967
APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=3 R20=4456585745805444199
APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=1 R20=71290245264087018754
APRCL main test (3 16) for p=5 q=211 not needed
APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=1 R20=28851310480670517190
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=6 R20=49494949494949494938
APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=1 R20=1
APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=4 R20=1
APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=5 R20=1
APRCL main test (4 16) for p=7 q=211 not needed
APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=1 R20=1
APRCL tests for p=7 completed
Main divisor test: F1=0.1328 F2=0.0646 G=0.5085 S=0.3111 T=1260
G=1095954852978168960368697968963100
Main divisor test passed: 1260/1260
*** N is prime!
Time: 0 sec

(94*10^143-49)/99


*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(94*10^143-49)/99
N=94949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949
Factor: 2^2 divides N - 1
Factor: 2 divides N + 1
Factor: 3 divides N + 1
Factor: 5^2 divides N + 1
Factor: 7^2 divides N - 1
Factor: 11 divides N - 1
Factor: 13873 divides N - 1
Factorization results: F1=0.0523 F2=0.0152
F1=29910188
F2=150
Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=49494949494949494947
Pass: 3^(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=97758733225067694645
Pass: U{N+1} = 0 (mod N): d=17 p=3 q=-2 R20=0
Pass: gcd(U{(N+1)/3}, N) = 1: d=17 p=3 q=-2 R20=30261248312703815643
Fail: gcd(U{(N+1)/5}, N) not = 1: d=17 p=3 q=-2 R20=0
Pass: gcd(U{(N+1)/5}, N) = 1: d=17 p=5 q=2 R20=95773985600325908671
Pass: U{N+1} = 0 (mod N): d=17 p=5 q=2 R20=0
Pass: gcd(3^((N-1)/7) - 1, N) = 1: R20=94375979860859061979
Pass: gcd(3^((N-1)/11) - 1, N) = 1: R20=25181938809310575496
Pass: gcd(3^((N-1)/13873) - 1, N) = 1: R20=82440236873420330045
BLS tests passed: F1=0.0523 F2=0.0152
APRCL test
T=15120
S=2823016250657516451896367713392965546690504942856772819529459859
APRCL main test (1) at level 7 for p=2
APRCL L_2 condition satisfied
APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=1 R20=49494949494949494948
APRCL main test (1 3) for p=2 q=5 not needed
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=2 R20=49494949494949494947
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=0 R20=1
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=0 R20=2
APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=3 R20=0
APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=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=49494949494949494948
APRCL main test (1 15) done: p=2 q=127 k=1 g=3 h=1 R20=49494949494949494948
APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=1 R20=49494949494949494948
APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=0 R20=2
APRCL main test (1 18) done: p=2 q=631 k=1 g=3 h=1 R20=49494949494949494948
APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=5 R20=42889869384572935227
APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=7 R20=81180047935242385490
APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=2 R20=87825947332993127893
APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=6 R20=39462098250699750656
APRCL main test (1 23) done: p=2 q=17 k=4 g=3 h=13 R20=48346797281284258853
APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=6 R20=15338393847818932274
APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=10 R20=8622376381325556687
APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=11 R20=45335724239128625713
APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=6 R20=54190970150970318263
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=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=15 R20=69296441652181354946
APRCL main test (1 32) done: p=2 q=541 k=2 g=2 h=3 R20=0
APRCL main test (1 33) done: p=2 q=757 k=2 g=2 h=0 R20=2
APRCL main test (1 34) done: p=2 q=2161 k=4 g=23 h=2 R20=94298780455722894599
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) for p=3 q=7 not needed
APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=2 R20=7614607614607614608
APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=1 R20=97947214076246334310
APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=0 R20=13727438317602252028
APRCL main test (2 9) done: p=3 q=19 k=2 g=2 h=6 R20=75564931101202399569
APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=1 R20=67930181963811578776
APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=6 R20=22950772268521452226
APRCL main test (2 13) done: p=3 q=43 k=1 g=3 h=1 R20=40615456894526661968
APRCL main test (2 15) done: p=3 q=127 k=2 g=3 h=1 R20=4950331169934846699
APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=1 R20=99851596534060989037
APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=2 R20=44638786919071954701
APRCL main test (2 18) done: p=3 q=631 k=2 g=3 h=6 R20=12780849335860139716
APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=5 R20=26647802685864142441
APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=6 R20=95034948019696281356
APRCL main test (2 25) done: p=3 q=241 k=1 g=7 h=2 R20=15252106123475418081
APRCL main test (2 26) done: p=3 q=337 k=1 g=10 h=0 R20=82900218805263315649
APRCL main test (2 27) done: p=3 q=1009 k=2 g=11 h=8 R20=56680134069837575402
APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=6 R20=58466042770952758464
APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=25 R20=11920651475055075822
APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=23 R20=48632725979779365417
APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=7 R20=7815447575773767571
APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=16 R20=3467114551975998556
APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=12 R20=75217496116289304530
APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=2 R20=99664342396683415043
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=52618440899171847753
APRCL L_5 condition satisfied
APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=3 R20=20843703868638837894
APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=3 R20=90443914255649609200
APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=0 R20=49923487109306020971
APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=0 R20=86250598147032260635
APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=4 R20=73536837805505460036
APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=4 R20=57548343239441304134
APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=3 R20=26290275341180168483
APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=1 R20=37572793171232826612
APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=4 R20=62074129718767761573
APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=3 R20=79526222796177315092
APRCL main test (3 25) done: p=5 q=241 k=1 g=7 h=0 R20=29526795765187627244
APRCL main test (3 29) done: p=5 q=271 k=1 g=6 h=1 R20=77688965935562275190
APRCL main test (3 32) done: p=5 q=541 k=1 g=2 h=4 R20=79688121193364903873
APRCL main test (3 34) done: p=5 q=2161 k=1 g=23 h=1 R20=7035823367292060529
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=2 R20=1
APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=1 R20=1
APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=2 R20=1
APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=3 R20=1
APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=4 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=0 R20=6
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=5 R20=1
APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=4 R20=1
APRCL main test (4 27) done: p=7 q=1009 k=1 g=11 h=0 R20=6
APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=2 R20=1
APRCL main test (4 33) done: p=7 q=757 k=1 g=2 h=6 R20=49494949494949494938
APRCL tests for p=7 completed
Main divisor test: F1=0.0523 F2=0.0131 G=0.5092 S=0.4438 T=15120
G=6332771008816608051698498611853528803427683549183149907906216194085761900
Main divisor test passed: 15120/15120
*** N is prime!
Time: 12 sec

(94*10^551-49)/99


*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(94*10^551-49)/99
N=94949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949494949
Factor: 2^2 divides N - 1
Factor: 2 divides N + 1
Factor: 3 divides N + 1
Factor: 5^2 divides N + 1
Factor: 7 divides N - 1
Factor: 89 divides N + 1
Factor: 257 divides N + 1
Factor: 1493 divides N + 1
Factor: 2539 divides N - 1
Factorization results: F1=0.0088 F2=0.0176
F1=71092
F2=5122408350
Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=49494949494949494947
Pass: 3^(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=98459993837742156612
Pass: U{N+1} = 0 (mod N): d=17 p=3 q=-2 R20=0
Pass: gcd(U{(N+1)/3}, N) = 1: d=17 p=3 q=-2 R20=81135524710005503497
Pass: gcd(U{(N+1)/5}, N) = 1: d=17 p=3 q=-2 R20=48623159011805701791
Pass: gcd(3^((N-1)/7) - 1, N) = 1: R20=18199962442366238798
Pass: gcd(U{(N+1)/89}, N) = 1: d=17 p=3 q=-2 R20=16081406779933127765
Pass: gcd(U{(N+1)/257}, N) = 1: d=17 p=3 q=-2 R20=9704464364271964342
Pass: gcd(U{(N+1)/1493}, N) = 1: d=17 p=3 q=-2 R20=23814590099665742288
Pass: gcd(3^((N-1)/2539) - 1, N) = 1: R20=11546622648190600300
BLS tests passed: F1=0.0088 F2=0.0176
APRCL test
T=21621600
S=50180410359667299640184352377215647455299090466612118352712983113810059513756941199501924784972593011334017023836981504411832564171680553471722590621791377290541368567066266919325233241838360549009403201772824338039539462643911995928345150596114599822086821721363
APRCL main test (1) at level 11 for p=2
APRCL L_2 condition satisfied
APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=1 R20=49494949494949494948
APRCL main test (1 3) for p=2 q=5 not needed
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=2 R20=49494949494949494947
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=1 R20=49494949494949494948
APRCL main test (1 8) done: p=2 q=61 k=2 g=2 h=3 R20=0
APRCL main test (1 9) done: p=2 q=19 k=1 g=2 h=1 R20=49494949494949494948
APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=0 R20=2
APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=2 R20=49494949494949494947
APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=2 R20=49494949494949494947
APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=1 R20=49494949494949494948
APRCL main test (1 14) done: p=2 q=71 k=1 g=7 h=1 R20=49494949494949494948
APRCL main test (1 15) done: p=2 q=127 k=1 g=3 h=1 R20=49494949494949494948
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=0 R20=2
APRCL main test (1 18) done: p=2 q=631 k=1 g=3 h=1 R20=49494949494949494948
APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=2 R20=27574141742148165904
APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=7 R20=65849396990980724987
APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=0 R20=37047367635661457442
APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=6 R20=73168161727326113661
APRCL main test (1 23) done: p=2 q=17 k=4 g=3 h=15 R20=21495660294477680377
APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=9 R20=23341773664991719911
APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=15 R20=17114376807187008640
APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=9 R20=99043719065776051307
APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=10 R20=32305538264546718219
APRCL main test (1 28) done: p=2 q=109 k=2 g=6 h=2 R20=49494949494949494947
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=1 R20=99849126485965427027
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=0 R20=32598727729431780801
APRCL main test (1 35) done: p=2 q=7561 k=3 g=13 h=2 R20=83638807552779709606
APRCL main test (1 36) done: p=2 q=15121 k=4 g=11 h=1 R20=60672794965127469050
APRCL main test (1 37) done: p=2 q=23 k=1 g=5 h=0 R20=1
APRCL main test (1 38) done: p=2 q=67 k=1 g=2 h=1 R20=49494949494949494948
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=1 R20=49494949494949494948
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=0
APRCL main test (1 43) done: p=2 q=463 k=1 g=3 h=1 R20=49494949494949494948
APRCL main test (1 44) done: p=2 q=617 k=3 g=3 h=4 R20=26662783328556503088
APRCL main test (1 45) done: p=2 q=661 k=2 g=2 h=3 R20=0
APRCL main test (1 46) done: p=2 q=881 k=4 g=3 h=1 R20=53389992576249520175
APRCL main test (1 47) done: p=2 q=991 k=1 g=6 h=1 R20=49494949494949494948
APRCL main test (1 48) done: p=2 q=1321 k=3 g=13 h=4 R20=42370952208428633601
APRCL main test (1 49) done: p=2 q=2311 k=1 g=3 h=1 R20=49494949494949494948
APRCL main test (1 50) done: p=2 q=2377 k=3 g=5 h=0 R20=6720323007060202338
APRCL main test (1 51) done: p=2 q=2971 k=1 g=10 h=1 R20=49494949494949494948
APRCL main test (1 52) done: p=2 q=3697 k=4 g=5 h=11 R20=50643931518528379922
APRCL main test (1 53) done: p=2 q=4159 k=1 g=3 h=1 R20=49494949494949494948
APRCL main test (1 54) done: p=2 q=4621 k=2 g=2 h=3 R20=0
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=7 R20=817070452962165209
APRCL main test (1 57) done: p=2 q=16633 k=3 g=15 h=0 R20=1000388146892518463
APRCL main test (1 58) done: p=2 q=18481 k=4 g=13 h=10 R20=98503895337575769083
APRCL main test (1 59) done: p=2 q=23761 k=4 g=7 h=2 R20=87342268392813275163
APRCL main test (1 60) done: p=2 q=101 k=2 g=2 h=1 R20=0
APRCL main test (1 61) done: p=2 q=151 k=1 g=6 h=1 R20=49494949494949494948
APRCL main test (1 62) done: p=2 q=401 k=4 g=3 h=14 R20=25623866568365282822
APRCL main test (1 63) done: p=2 q=601 k=3 g=7 h=6 R20=35956134446444514011
APRCL main test (1 64) done: p=2 q=701 k=2 g=2 h=3 R20=0
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=4 R20=75491106788997842224
APRCL main test (1 67) done: p=2 q=1801 k=3 g=11 h=0 R20=37778789167372080324
APRCL main test (1 68) done: p=2 q=2801 k=4 g=3 h=9 R20=96029530379063757090
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=6 R20=67153595263419852126
APRCL main test (1 72) done: p=2 q=4951 k=1 g=6 h=1 R20=49494949494949494948
APRCL main test (1 73) done: p=2 q=6301 k=2 g=10 h=3 R20=0
APRCL main test (1 74) done: p=2 q=9901 k=2 g=2 h=1 R20=0
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=75142057309815624985
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=2 R20=21034869846716368724
APRCL main test (1 79) done: p=2 q=19801 k=3 g=13 h=4 R20=7452479120072867384
APRCL main test (1 80) done: p=2 q=97 k=5 g=5 h=14 R20=62300799230241568603
APRCL main test (1 81) done: p=2 q=353 k=5 g=3 h=27 R20=68760627623178804896
APRCL main test (1 82) done: p=2 q=673 k=5 g=5 h=29 R20=85826041893789526286
APRCL main test (1 83) done: p=2 q=2017 k=5 g=5 h=7 R20=29333794990454635713
APRCL main test (1 84) done: p=2 q=3169 k=5 g=7 h=28 R20=85664360615488554575
APRCL main test (1 85) done: p=2 q=3361 k=5 g=22 h=3 R20=90160917413751083017
APRCL main test (1 86) done: p=2 q=5281 k=5 g=7 h=6 R20=58618201200268839414
APRCL main test (1 87) done: p=2 q=7393 k=5 g=5 h=13 R20=68721451934262037179
APRCL main test (1 88) done: p=2 q=21601 k=5 g=7 h=16 R20=65854360963001946550
APRCL main test (1 89) done: p=2 q=30241 k=5 g=11 h=24 R20=5929847201107727509
APRCL main test (1 90) done: p=2 q=53 k=2 g=2 h=3 R20=0
APRCL main test (1 91) done: p=2 q=79 k=1 g=3 h=1 R20=49494949494949494948
APRCL main test (1 92) done: p=2 q=131 k=1 g=2 h=1 R20=49494949494949494948
APRCL main test (1 93) done: p=2 q=157 k=2 g=5 h=0 R20=2
APRCL main test (1 94) done: p=2 q=313 k=3 g=10 h=6 R20=7821246377035811072
APRCL main test (1 95) done: p=2 q=521 k=3 g=3 h=7 R20=7017582540530808943
APRCL main test (1 96) done: p=2 q=547 k=1 g=2 h=0 R20=1
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) for p=3 q=7 not needed
APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=2 R20=7614607614607614608
APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=1 R20=54578038449006190941
APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=1 R20=28647127007782745488
APRCL main test (2 9) done: p=3 q=19 k=2 g=2 h=6 R20=71287742566354608926
APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=4 R20=23006265446002480334
APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=7 R20=32090223696366359258
APRCL main test (2 13) done: p=3 q=43 k=1 g=3 h=2 R20=29762743716232088325
APRCL main test (2 15) done: p=3 q=127 k=2 g=3 h=3 R20=2195387751946266638
APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=2 R20=12528124850399731916
APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=2 R20=16821420859425610019
APRCL main test (2 18) done: p=3 q=631 k=2 g=3 h=3 R20=47502814482046270399
APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=2 R20=39300209232371580032
APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=1 R20=68923200137692822080
APRCL main test (2 25) done: p=3 q=241 k=1 g=7 h=1 R20=93000544867764784777
APRCL main test (2 26) done: p=3 q=337 k=1 g=10 h=0 R20=67254143812007313491
APRCL main test (2 27) done: p=3 q=1009 k=2 g=11 h=7 R20=96235131081663009238
APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=5 R20=10256387809695027972
APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=9 R20=3656559490559419357
APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=1 R20=74637674219395335961
APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=16 R20=85051947002789546438
APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=12 R20=42698697012997161678
APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=22 R20=87857719206655154733
APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=8 R20=13908760131226266806
APRCL main test (2 35) done: p=3 q=7561 k=3 g=13 h=15 R20=92889175673559034493
APRCL main test (2 36) done: p=3 q=15121 k=3 g=11 h=21 R20=90083268884359043961
APRCL main test (2 38) done: p=3 q=67 k=1 g=2 h=2 R20=77928539122568973315
APRCL main test (2 40) done: p=3 q=199 k=2 g=3 h=2 R20=27293676303263011075
APRCL main test (2 41) done: p=3 q=331 k=1 g=3 h=1 R20=32658915438371631725
APRCL main test (2 42) done: p=3 q=397 k=2 g=5 h=6 R20=24196817865424133082
APRCL main test (2 43) done: p=3 q=463 k=1 g=3 h=2 R20=61498352859044003752
APRCL main test (2 45) done: p=3 q=661 k=1 g=2 h=1 R20=71818029004110698513
APRCL main test (2 47) done: p=3 q=991 k=2 g=6 h=3 R20=50867205383507933215
APRCL main test (2 48) done: p=3 q=1321 k=1 g=13 h=0 R20=74224454996597313024
APRCL main test (2 49) done: p=3 q=2311 k=1 g=3 h=1 R20=27571255611065217296
APRCL main test (2 50) done: p=3 q=2377 k=3 g=5 h=7 R20=71587888112317094411
APRCL main test (2 51) done: p=3 q=2971 k=3 g=10 h=20 R20=33537395395943115740
APRCL main test (2 52) done: p=3 q=3697 k=1 g=5 h=0 R20=10272320172239025363
APRCL main test (2 53) done: p=3 q=4159 k=3 g=3 h=6 R20=34957021675251859543
APRCL main test (2 54) done: p=3 q=4621 k=1 g=2 h=2 R20=74314886584957998072
APRCL main test (2 55) done: p=3 q=8317 k=3 g=6 h=15 R20=35295434264747006712
APRCL main test (2 56) done: p=3 q=9241 k=1 g=13 h=2 R20=11269714786650183252
APRCL main test (2 57) done: p=3 q=16633 k=3 g=15 h=23 R20=64536956975434504883
APRCL main test (2 58) done: p=3 q=18481 k=1 g=13 h=2 R20=83414743725332979161
APRCL main test (2 59) done: p=3 q=23761 k=3 g=7 h=3 R20=69666690651979157640
APRCL main test (2 61) done: p=3 q=151 k=1 g=6 h=0 R20=61823533346712154659
APRCL main test (2 63) done: p=3 q=601 k=1 g=7 h=2 R20=8359804366459940503
APRCL main test (2 65) done: p=3 q=1051 k=1 g=7 h=1 R20=60027487049370969447
APRCL main test (2 66) done: p=3 q=1201 k=1 g=11 h=2 R20=52729627667179707146
APRCL main test (2 67) done: p=3 q=1801 k=2 g=11 h=3 R20=88480947485450460033
APRCL main test (2 69) done: p=3 q=3301 k=1 g=6 h=1 R20=38658931024880737089
APRCL main test (2 71) done: p=3 q=4201 k=1 g=11 h=1 R20=15929588674173296882
APRCL main test (2 72) done: p=3 q=4951 k=2 g=6 h=1 R20=77883407963322420793
APRCL main test (2 73) done: p=3 q=6301 k=2 g=10 h=8 R20=60772013666150487934
APRCL main test (2 74) done: p=3 q=9901 k=2 g=2 h=4 R20=88441870471616994559
APRCL main test (2 75) done: p=3 q=11551 k=1 g=7 h=2 R20=33837115855988680852
APRCL main test (2 76) done: p=3 q=12601 k=2 g=11 h=4 R20=76077136305706953111
APRCL main test (2 77) done: p=3 q=14851 k=3 g=2 h=7 R20=6387495668763923204
APRCL main test (2 79) done: p=3 q=19801 k=2 g=13 h=7 R20=6294240794702423052
APRCL main test (2 80) done: p=3 q=97 k=1 g=5 h=1 R20=43455170259293970634
APRCL main test (2 82) done: p=3 q=673 k=1 g=5 h=1 R20=93181442958560343404
APRCL main test (2 83) done: p=3 q=2017 k=2 g=5 h=2 R20=37818738815187018900
APRCL main test (2 84) done: p=3 q=3169 k=2 g=7 h=5 R20=15258546244546819013
APRCL main test (2 85) done: p=3 q=3361 k=1 g=22 h=2 R20=86816994701552868765
APRCL main test (2 86) done: p=3 q=5281 k=1 g=7 h=2 R20=84609587639316857268
APRCL main test (2 87) done: p=3 q=7393 k=1 g=5 h=1 R20=52167830065841698467
APRCL main test (2 88) done: p=3 q=21601 k=3 g=7 h=18 R20=26924598226894840286
APRCL main test (2 89) done: p=3 q=30241 k=3 g=11 h=10 R20=87163433343418289615
APRCL main test (2 91) done: p=3 q=79 k=1 g=3 h=1 R20=64966116864851042066
APRCL main test (2 93) done: p=3 q=157 k=1 g=5 h=1 R20=33423406034871003024
APRCL main test (2 94) done: p=3 q=313 k=1 g=10 h=1 R20=28263465324168199567
APRCL main test (2 96) done: p=3 q=547 k=1 g=2 h=1 R20=28057540671800269606
APRCL tests for p=3 completed
APRCL main test (3) at level 11 for p=5
APRCL L_5 condition satisfied
APRCL main test (3 6) done: p=5 q=11 k=1 g=2 h=1 R20=53504357644661026819
APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=0 R20=93556373517483785825
APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=0 R20=16621080813539312123
APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=2 R20=53992667272045988467
APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=4 R20=39859659147372697045
APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=2 R20=41244072281702539471
APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=0 R20=72905239801678142078
APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=2 R20=3403499620598343638
APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=0 R20=31996757834919056863
APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=0 R20=83447930882669528540
APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=1 R20=6645400877023138784
APRCL main test (3 25) done: p=5 q=241 k=1 g=7 h=0 R20=70425007186684067042
APRCL main test (3 29) done: p=5 q=271 k=1 g=6 h=4 R20=71139711078115094491
APRCL main test (3 32) done: p=5 q=541 k=1 g=2 h=1 R20=33767296121342535007
APRCL main test (3 34) done: p=5 q=2161 k=1 g=23 h=2 R20=94521006307681283477
APRCL main test (3 35) done: p=5 q=7561 k=1 g=13 h=3 R20=6469109171563494852
APRCL main test (3 36) done: p=5 q=15121 k=1 g=11 h=0 R20=85354253955782333677
APRCL main test (3 41) done: p=5 q=331 k=1 g=3 h=2 R20=74505598669873945642
APRCL main test (3 45) done: p=5 q=661 k=1 g=2 h=2 R20=78309677894085157960
APRCL main test (3 46) done: p=5 q=881 k=1 g=3 h=3 R20=28062025248966423682
APRCL main test (3 47) done: p=5 q=991 k=1 g=6 h=4 R20=95518529986693236180
APRCL main test (3 48) done: p=5 q=1321 k=1 g=13 h=3 R20=92557770450638919501
APRCL main test (3 49) done: p=5 q=2311 k=1 g=3 h=1 R20=82594619515904241679
APRCL main test (3 51) done: p=5 q=2971 k=1 g=10 h=1 R20=95006708755200125627
APRCL main test (3 54) done: p=5 q=4621 k=1 g=2 h=1 R20=19665274613329206682
APRCL main test (3 56) done: p=5 q=9241 k=1 g=13 h=4 R20=7349453551863518263
APRCL main test (3 58) done: p=5 q=18481 k=1 g=13 h=4 R20=29417842483871500247
APRCL main test (3 59) done: p=5 q=23761 k=1 g=7 h=4 R20=9123811020809970999
APRCL main test (3 60) done: p=5 q=101 k=2 g=2 h=22 R20=96131224280989930810
APRCL main test (3 61) done: p=5 q=151 k=2 g=6 h=11 R20=82241739824287101879
APRCL main test (3 62) done: p=5 q=401 k=2 g=3 h=5 R20=95197149538831714161
APRCL main test (3 63) done: p=5 q=601 k=2 g=7 h=5 R20=72225133521199752273
APRCL main test (3 64) done: p=5 q=701 k=2 g=2 h=0 R20=62139575103595547136
APRCL main test (3 65) done: p=5 q=1051 k=2 g=7 h=8 R20=96828291414737930810
APRCL main test (3 66) done: p=5 q=1201 k=2 g=11 h=7 R20=85456337980865340
APRCL main test (3 67) done: p=5 q=1801 k=2 g=11 h=16 R20=18245330524999166938
APRCL main test (3 68) done: p=5 q=2801 k=2 g=3 h=21 R20=1511196666045858761
APRCL main test (3 69) done: p=5 q=3301 k=2 g=6 h=7 R20=99985546062435738686
APRCL main test (3 70) done: p=5 q=3851 k=2 g=2 h=14 R20=1867047235945533625
APRCL main test (3 71) done: p=5 q=4201 k=2 g=11 h=19 R20=28581088876009626266
APRCL main test (3 72) done: p=5 q=4951 k=2 g=6 h=18 R20=43910379526350853415
APRCL main test (3 73) done: p=5 q=6301 k=2 g=10 h=0 R20=94086743407872241782
APRCL main test (3 74) done: p=5 q=9901 k=2 g=2 h=22 R20=74336372753578657959
APRCL main test (3 75) done: p=5 q=11551 k=2 g=7 h=16 R20=68565798253873370852
APRCL main test (3 76) done: p=5 q=12601 k=2 g=11 h=5 R20=97519525641530167886
APRCL main test (3 77) done: p=5 q=14851 k=2 g=2 h=24 R20=28211845416193434794
APRCL main test (3 78) done: p=5 q=15401 k=2 g=6 h=10 R20=94295349105920777210
APRCL main test (3 79) done: p=5 q=19801 k=2 g=13 h=10 R20=72796845485409596329
APRCL main test (3 85) done: p=5 q=3361 k=1 g=22 h=3 R20=57687957697807640446
APRCL main test (3 86) done: p=5 q=5281 k=1 g=7 h=0 R20=92081048763289654910
APRCL main test (3 88) done: p=5 q=21601 k=2 g=7 h=8 R20=35727546795062845809
APRCL main test (3 89) done: p=5 q=30241 k=1 g=11 h=3 R20=18240192193823300089
APRCL main test (3 92) done: p=5 q=131 k=1 g=2 h=1 R20=73581369677402567871
APRCL main test (3 95) done: p=5 q=521 k=1 g=3 h=2 R20=16604520027391928829
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=5 R20=1
APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=5 R20=1
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=5 R20=1
Parameters saved: 2 21621600 4 16 1 1 1802
APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=0 R20=6
APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=2 R20=1
APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=4 R20=1
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=1 R20=1
APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=5 R20=1
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=6 R20=49494949494949494938
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=5 R20=1
APRCL main test (4 35) done: p=7 q=7561 k=1 g=13 h=0 R20=6
APRCL main test (4 36) done: p=7 q=15121 k=1 g=11 h=5 R20=1
APRCL main test (4 43) done: p=7 q=463 k=1 g=3 h=1 R20=1
APRCL main test (4 44) done: p=7 q=617 k=1 g=3 h=3 R20=1
APRCL main test (4 49) done: p=7 q=2311 k=1 g=3 h=5 R20=1
APRCL main test (4 52) done: p=7 q=3697 k=1 g=5 h=2 R20=1
APRCL main test (4 53) done: p=7 q=4159 k=1 g=3 h=5 R20=1
APRCL main test (4 54) done: p=7 q=4621 k=1 g=2 h=6 R20=49494949494949494938
APRCL main test (4 55) done: p=7 q=8317 k=1 g=6 h=3 R20=1
APRCL main test (4 56) done: p=7 q=9241 k=1 g=13 h=6 R20=49494949494949494938
APRCL main test (4 57) done: p=7 q=16633 k=1 g=15 h=6 R20=49494949494949494938
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=4 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=4 R20=1
APRCL main test (4 71) done: p=7 q=4201 k=1 g=11 h=4 R20=1
APRCL main test (4 73) done: p=7 q=6301 k=1 g=10 h=2 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=5 R20=1
APRCL main test (4 78) done: p=7 q=15401 k=1 g=6 h=0 R20=6
APRCL main test (4 82) done: p=7 q=673 k=1 g=5 h=2 R20=1
APRCL main test (4 83) done: p=7 q=2017 k=1 g=5 h=0 R20=6
APRCL main test (4 85) done: p=7 q=3361 k=1 g=22 h=2 R20=1
APRCL main test (4 87) done: p=7 q=7393 k=1 g=5 h=1 R20=1
APRCL main test (4 89) done: p=7 q=30241 k=1 g=11 h=6 R20=49494949494949494938
APRCL main test (4 96) done: p=7 q=547 k=1 g=2 h=6 R20=49494949494949494938
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=70977450496128539714
APRCL main test (5 38) done: p=11 q=67 k=1 g=2 h=5 R20=603289137418442209
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=8 R20=45381738105124234209
APRCL main test (5 41) done: p=11 q=331 k=1 g=3 h=7 R20=73479536957677862029
APRCL main test (5 42) done: p=11 q=397 k=1 g=5 h=9 R20=21135670237166567015
APRCL main test (5 43) done: p=11 q=463 k=1 g=3 h=2 R20=75096913051279715270
APRCL main test (5 44) done: p=11 q=617 k=1 g=3 h=3 R20=66786197608475966046
APRCL main test (5 45) done: p=11 q=661 k=1 g=2 h=7 R20=44805309852589228859
APRCL main test (5 46) done: p=11 q=881 k=1 g=3 h=5 R20=11870636145154786476
APRCL main test (5 47) done: p=11 q=991 k=1 g=6 h=8 R20=85049778360419356944
APRCL main test (5 48) done: p=11 q=1321 k=1 g=13 h=7 R20=18923111415133446881
APRCL main test (5 49) done: p=11 q=2311 k=1 g=3 h=4 R20=18879309950060453413
APRCL main test (5 50) done: p=11 q=2377 k=1 g=5 h=3 R20=67559587306363369317
APRCL main test (5 51) done: p=11 q=2971 k=1 g=10 h=0 R20=24266529458582036131
APRCL main test (5 52) done: p=11 q=3697 k=1 g=5 h=2 R20=73204717263617514380
APRCL main test (5 53) done: p=11 q=4159 k=1 g=3 h=2 R20=84942765307645834311
APRCL main test (5 54) done: p=11 q=4621 k=1 g=2 h=6 R20=36394680983522234730
APRCL main test (5 55) done: p=11 q=8317 k=1 g=6 h=3 R20=17790884198101553927
APRCL main test (5 56) done: p=11 q=9241 k=1 g=13 h=0 R20=77144619842934286631
APRCL main test (5 57) done: p=11 q=16633 k=1 g=15 h=10 R20=99857614257243248455
APRCL main test (5 58) done: p=11 q=18481 k=1 g=13 h=6 R20=968574156882212712
APRCL main test (5 59) done: p=11 q=23761 k=1 g=7 h=3 R20=91492558740725096468
APRCL main test (5 69) done: p=11 q=3301 k=1 g=6 h=9 R20=1807558995486255649
APRCL main test (5 70) done: p=11 q=3851 k=1 g=2 h=8 R20=7740145213296483321
APRCL main test (5 72) done: p=11 q=4951 k=1 g=6 h=9 R20=19441625248145951894
APRCL main test (5 74) done: p=11 q=9901 k=1 g=2 h=7 R20=21571903274470889723
APRCL main test (5 75) done: p=11 q=11551 k=1 g=7 h=8 R20=4044679535432834729
APRCL main test (5 77) done: p=11 q=14851 k=1 g=2 h=1 R20=20360988195918927390
APRCL main test (5 78) done: p=11 q=15401 k=1 g=6 h=1 R20=91715258713991467255
APRCL main test (5 79) done: p=11 q=19801 k=1 g=13 h=5 R20=57155295664525454753
APRCL main test (5 81) done: p=11 q=353 k=1 g=3 h=5 R20=14089560303923848156
APRCL main test (5 84) done: p=11 q=3169 k=1 g=7 h=0 R20=32409942049622963029
APRCL main test (5 86) done: p=11 q=5281 k=1 g=7 h=9 R20=39958311705814120175
APRCL main test (5 87) done: p=11 q=7393 k=1 g=5 h=4 R20=80933140537030911444
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=8 R20=28184281283240017481
APRCL main test (6 91) done: p=13 q=79 k=1 g=3 h=10 R20=22947400486219215264
APRCL main test (6 92) done: p=13 q=131 k=1 g=2 h=7 R20=22532856015115694965
APRCL main test (6 93) done: p=13 q=157 k=1 g=5 h=7 R20=18438000980633359704
APRCL main test (6 94) done: p=13 q=313 k=1 g=10 h=12 R20=44441738664520780292
APRCL main test (6 95) done: p=13 q=521 k=1 g=3 h=11 R20=61018602328074373454
APRCL main test (6 96) done: p=13 q=547 k=1 g=2 h=3 R20=38674756693691866917
APRCL tests for p=13 completed
Main divisor test: F1=0.0088 F2=0.0171 G=0.5027 S=0.4768 T=21621600
G=9136905682103421069737893723371102292771332397138730198087957420446789669299619302004618708332894872153790791807366416285774777992193605828413415662712598434960555820266001131727112961042698511464372059374070462933965885003245597546294494614142239146407130813672209438038003300
Main divisor test passed: 21621600/21621600
*** N is prime!
Time: 3306 sec

(94*10^92981-49)/99

Test by Ray Chandler

PFGW Version 3.4.8.64BIT.20110617.Win_Dev [GWNUM 26.6]

Primality testing (94*10^92981-49)/99 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Generic modular reduction using generic reduction Core2 type-1 FFT length 40K, Pass1=32, Pass2=1280 on A 308883-bit number
Running N+1 test using discriminant 11, base 1+sqrt(11)
Generic modular reduction using generic reduction Core2 type-1 FFT length 40K, Pass1=32, Pass2=1280 on A 308883-bit number
Calling N+1 BLS with factored part 0.01% and helper 0.00% (0.03% proof)
(94*10^92981-49)/99 is Fermat and Lucas PRP! (2801.8213s+0.0026s)

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Patrick De Geest - Belgium

- Short Bio - Some Pictures
E-mail address : pdg@worldofnumbers.com