Smoothly Undulating Palindromic Primes

(37*10^3-73)/99

*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(37*10^3-73)/99
N=373
*** N is prime!
Time: 0 sec

(37*10^21-73)/99

*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(37*10^21-73)/99
N=373737373737373737373
Factor: 2^2 divides N - 1
Factor: 2 divides N + 1
Factor: 3 divides N - 1
Factor: 2861 divides N + 1
Factor: 86077 divides N - 1
Factorization results: F1=0.2923 F2=0.1826
F1=1032924
F2=5722
Pass: gcd(5^((N-1)/2) - 1, N) = 1: R20=73737373737373737371
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=73737373737373737371
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=58452660287039995426
Pass: gcd(U{(N+1)/2861}, N) = 1: d=5 p=5 q=5 R20=3372261972743212479
Pass: gcd(5^((N-1)/86077) - 1, N) = 1: R20=98752305548821864299
BLS tests passed: F1=0.2923 F2=0.1826
Main divisor test: F1=0.2923 F2=0.1680 G=0.4604 S=0.0000 T=1
G=2955195564
Main divisor test passed: 1/1
Final divisor test: F=0.2923 G=0.4604 H=1.0450 t=-1 a=1
Final divisor test passed: 3/3 r=3 i=0
*** N is prime!
Time: 0 sec

(37*10^27-73)/99
*** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(3710^27-73)/99 N=373737373737373737373737373 Factor: 2^2 divides N - 1 Factor: 2 divides N + 1 Factor: 3 divides N - 1 Factor: 19 divides N - 1 Factor: 47 divides N - 1 Factor: 149 divides N - 1 Factor: 227 divides N + 1 Factorization results: F1=0.2334 F2=0.1000 F1=1596684 F2=454 Pass: gcd(5^((N-1)/2) - 1, N) = 1: R20=73737373737373737371 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=73737373737373737371 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=83632346710714561741 Pass: 11^(N-1) = 1 (mod N): R20=1 Pass: gcd(11^((N-1)/19) - 1, N) = 1: R20=29550811822961156404 Pass: gcd(11^((N-1)/47) - 1, N) = 1: R20=56419199612981182429 Pass: gcd(11^((N-1)/149) - 1, N) = 1: R20=51628455157741043458 Pass: gcd(U{(N+1)/227}, N) = 1: d=5 p=5 q=5 R20=34743452828901012925 BLS tests passed: F1=0.2334 F2=0.1000 APRCL test T=60 S=775775 APRCL main test (1) at level 2 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=1 R20=0 APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=0 R20=1 APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=0 R20=2 APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=1 R20=73737373737373737372 APRCL main test (1 7) done: p=2 q=31 k=1 g=3 h=0 R20=1 APRCL tests for p=2 completed APRCL main test (2) at level 2 for p=3 APRCL L_3 condition satisfied APRCL main test (2 4) done: p=3 q=7 k=1 g=3 h=2 R20=73737373737373737370 APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=2 R20=73737373737373737370 APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=1 R20=1 APRCL tests for p=3 completed APRCL main test (3) at level 2 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=5105905030773550683 APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=2 R20=32988947580602778481 APRCL tests for p=5 completed Main divisor test: F1=0.2334 F2=0.0887 G=0.5438 S=0.2216 T=60 G=281177529332700 Main divisor test passed: 60/60 ** N is prime! Time: 1 sec

(37*10^27-73)/99


*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(37*10^27-73)/99
N=373737373737373737373737373
Factor: 2^2 divides N - 1
Factor: 2 divides N + 1
Factor: 3 divides N - 1
Factor: 19 divides N - 1
Factor: 47 divides N - 1
Factor: 149 divides N - 1
Factor: 227 divides N + 1
Factorization results: F1=0.2334 F2=0.1000
F1=1596684
F2=454
Pass: gcd(5^((N-1)/2) - 1, N) = 1: R20=73737373737373737371
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=73737373737373737371
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=83632346710714561741
Pass: 11^(N-1) = 1 (mod N): R20=1
Pass: gcd(11^((N-1)/19) - 1, N) = 1: R20=29550811822961156404
Pass: gcd(11^((N-1)/47) - 1, N) = 1: R20=56419199612981182429
Pass: gcd(11^((N-1)/149) - 1, N) = 1: R20=51628455157741043458
Pass: gcd(U{(N+1)/227}, N) = 1: d=5 p=5 q=5 R20=34743452828901012925
BLS tests passed: F1=0.2334 F2=0.1000
APRCL test
T=60
S=775775
APRCL main test (1) at level 2 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=1 R20=0
APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=0 R20=1
APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=0 R20=2
APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=1 R20=73737373737373737372
APRCL main test (1 7) done: p=2 q=31 k=1 g=3 h=0 R20=1
APRCL tests for p=2 completed
APRCL main test (2) at level 2 for p=3
APRCL L_3 condition satisfied
APRCL main test (2 4) done: p=3 q=7 k=1 g=3 h=2 R20=73737373737373737370
APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=2 R20=73737373737373737370
APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=1 R20=1
APRCL tests for p=3 completed
APRCL main test (3) at level 2 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=5105905030773550683
APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=2 R20=32988947580602778481
APRCL tests for p=5 completed
Main divisor test: F1=0.2334 F2=0.0887 G=0.5438 S=0.2216 T=60
G=281177529332700
Main divisor test passed: 60/60
*** N is prime!
Time: 1 sec

(37*10^81-73)/99
*** VFYPR 1.13F F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 N=(3710^81-73)/99 N=373737373737373737373737373737373737373737373737373737373737373737373737373737373 Factor: 2^2 divides N - 1 Factor: 2 divides N + 1 Factor: 3 divides N - 1 Factor: 19 divides N - 1 Factor: 2957 divides N + 1 Factor: 4673 divides N - 1 Factor: 9103 divides N + 1 Factor: 38677 divides N + 1 Factorization results: F1=0.0748 F2=0.1529 F1=1065444 F2=2082181787134 Pass: gcd(5^((N-1)/2) - 1, N) = 1: R20=73737373737373737371 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=73737373737373737371 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=84845356505395525970 Pass: gcd(5^((N-1)/19) - 1, N) = 1: R20=53920189909527480823 Pass: gcd(U{(N+1)/2957}, N) = 1: d=5 p=5 q=5 R20=77576136126780337927 Pass: gcd(5^((N-1)/4673) - 1, N) = 1: R20=62112748349734109811 Pass: gcd(U{(N+1)/9103}, N) = 1: d=5 p=5 q=5 R20=54850068881978200075 Pass: gcd(U{(N+1)/38677}, N) = 1: d=5 p=5 q=5 R20=98120338642206330541 BLS tests passed: F1=0.0748 F2=0.1529 APRCL test T=1260 S=2215833011642238256793525 APRCL main test (1) at level 4 for p=2 APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=0 R20=1 APRCL L_2 condition satisfied APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=1 R20=0 APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=0 R20=1 APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=0 R20=2 APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=1 R20=73737373737373737372 APRCL main test (1 7) done: p=2 q=31 k=1 g=3 h=1 R20=73737373737373737372 APRCL main test (1 8) done: p=2 q=61 k=2 g=2 h=2 R20=73737373737373737371 APRCL main test (1 9) for p=2 q=19 not needed APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=2 R20=73737373737373737371 APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=3 R20=0 APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=0 R20=2 APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=1 R20=73737373737373737372 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=73737373737373737372 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 tests for p=2 completed APRCL main test (2) at level 4 for p=3 APRCL L_3 condition satisfied APRCL main test (2 4) done: p=3 q=7 k=1 g=3 h=2 R20=73737373737373737370 APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=2 R20=73737373737373737370 APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=2 R20=73737373737373737370 APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=1 R20=1 APRCL main test (2 9) for p=3 q=19 not needed APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=8 R20=86237182384364168630 APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=4 R20=23784383288915837631 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=4763240757170894998 APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=0 R20=2 APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=2 R20=73737373737373737370 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=1 R20=46376613619288299979 APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=0 R20=91139110890042379418 APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=1 R20=38577335645812743014 APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=4 R20=48294737808731758889 APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=3 R20=66012635780538974349 APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=4 R20=66801014636175443722 APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=4 R20=72546218092792686444 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=6583113516567122701 APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=2 R20=72466880179408636022 APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=4 R20=77499818037828884100 APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=2 R20=66842571369068611039 APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=0 R20=14845405093044765935 APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=0 R20=26671271325093654664 APRCL tests for p=7 completed Main divisor test: F1=0.0748 F2=0.1492 G=0.5261 S=0.3022 T=1260 G=2457855258446574514338766745257896234506700 Main divisor test passed: 1260/1260 ** N is prime! Time: 1 sec

(37*10^81-73)/99


*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(37*10^81-73)/99
N=373737373737373737373737373737373737373737373737373737373737373737373737373737373
Factor: 2^2 divides N - 1
Factor: 2 divides N + 1
Factor: 3 divides N - 1
Factor: 19 divides N - 1
Factor: 2957 divides N + 1
Factor: 4673 divides N - 1
Factor: 9103 divides N + 1
Factor: 38677 divides N + 1
Factorization results: F1=0.0748 F2=0.1529
F1=1065444
F2=2082181787134
Pass: gcd(5^((N-1)/2) - 1, N) = 1: R20=73737373737373737371
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=73737373737373737371
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=84845356505395525970
Pass: gcd(5^((N-1)/19) - 1, N) = 1: R20=53920189909527480823
Pass: gcd(U{(N+1)/2957}, N) = 1: d=5 p=5 q=5 R20=77576136126780337927
Pass: gcd(5^((N-1)/4673) - 1, N) = 1: R20=62112748349734109811
Pass: gcd(U{(N+1)/9103}, N) = 1: d=5 p=5 q=5 R20=54850068881978200075
Pass: gcd(U{(N+1)/38677}, N) = 1: d=5 p=5 q=5 R20=98120338642206330541
BLS tests passed: F1=0.0748 F2=0.1529
APRCL test
T=1260
S=2215833011642238256793525
APRCL main test (1) at level 4 for p=2
APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=0 R20=1
APRCL L_2 condition satisfied
APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=1 R20=0
APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=0 R20=1
APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=0 R20=2
APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=1 R20=73737373737373737372
APRCL main test (1 7) done: p=2 q=31 k=1 g=3 h=1 R20=73737373737373737372
APRCL main test (1 8) done: p=2 q=61 k=2 g=2 h=2 R20=73737373737373737371
APRCL main test (1 9) for p=2 q=19 not needed
APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=2 R20=73737373737373737371
APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=3 R20=0
APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=0 R20=2
APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=1 R20=73737373737373737372
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=73737373737373737372
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 tests for p=2 completed
APRCL main test (2) at level 4 for p=3
APRCL L_3 condition satisfied
APRCL main test (2 4) done: p=3 q=7 k=1 g=3 h=2 R20=73737373737373737370
APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=2 R20=73737373737373737370
APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=2 R20=73737373737373737370
APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=1 R20=1
APRCL main test (2 9) for p=3 q=19 not needed
APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=8 R20=86237182384364168630
APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=4 R20=23784383288915837631
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=4763240757170894998
APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=0 R20=2
APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=2 R20=73737373737373737370
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=1 R20=46376613619288299979
APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=0 R20=91139110890042379418
APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=1 R20=38577335645812743014
APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=4 R20=48294737808731758889
APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=3 R20=66012635780538974349
APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=4 R20=66801014636175443722
APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=4 R20=72546218092792686444
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=6583113516567122701
APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=2 R20=72466880179408636022
APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=4 R20=77499818037828884100
APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=2 R20=66842571369068611039
APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=0 R20=14845405093044765935
APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=0 R20=26671271325093654664
APRCL tests for p=7 completed
Main divisor test: F1=0.0748 F2=0.1492 G=0.5261 S=0.3022 T=1260
G=2457855258446574514338766745257896234506700
Main divisor test passed: 1260/1260
*** N is prime!
Time: 1 sec

(37*10^315-73)/99


*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(37*10^315-73)/99
N=373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373
Factor: 2^2 divides N - 1
Factor: 2 divides N + 1
Factor: 3 divides N - 1
Factor: 19 divides N - 1
Factorization results: F1=0.0075 F2=0.0010
F1=228
F2=2
Pass: gcd(5^((N-1)/2) - 1, N) = 1: R20=73737373737373737371
Pass: 5^(N-1) = 1 (mod N): R20=1
Pass: gcd(5^((N-1)/3) - 1, N) = 1: R20=10094485446285279192
Pass: gcd(5^((N-1)/19) - 1, N) = 1: R20=18452900701200423464
BLS tests passed: F1=0.0075 F2=0.0010
APRCL test
T=831600
S=23526912329827160063820909006464252747117908033154333499499807473967456565911513810928676057241088987983947734737214851781983409626546097333729134985333439125
APRCL main test (1) at level 9 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=1 R20=0
APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=0 R20=1
APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=0 R20=2
APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=1 R20=73737373737373737372
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) for p=2 q=19 not needed
APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=2 R20=73737373737373737371
APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=2 R20=73737373737373737371
APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=1 R20=0
APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=1 R20=73737373737373737372
APRCL main test (1 14) done: p=2 q=71 k=1 g=7 h=0 R20=1
APRCL main test (1 15) done: p=2 q=127 k=1 g=3 h=0 R20=1
APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=0 R20=1
APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=3 R20=0
APRCL main test (1 18) done: p=2 q=631 k=1 g=3 h=0 R20=1
APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=1 R20=917028021903487309
APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=4 R20=60960167080827864008
APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=1 R20=88421314415927517694
APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=4 R20=82989962669059367722
APRCL main test (1 23) done: p=2 q=17 k=4 g=3 h=15 R20=4157137012550228108
APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=1 R20=30013799931340437881
APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=12 R20=93938204860142032003
APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=5 R20=23668304206739616804
APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=10 R20=60951275410056770571
APRCL main test (1 28) done: p=2 q=109 k=2 g=6 h=3 R20=0
APRCL main test (1 29) done: p=2 q=271 k=1 g=6 h=1 R20=73737373737373737372
APRCL main test (1 30) done: p=2 q=379 k=1 g=2 h=1 R20=73737373737373737372
APRCL main test (1 31) done: p=2 q=433 k=4 g=5 h=2 R20=76980364280799068508
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=4 R20=52393848012167709131
APRCL main test (1 35) done: p=2 q=7561 k=3 g=13 h=7 R20=3827445632922656681
APRCL main test (1 36) done: p=2 q=15121 k=4 g=11 h=13 R20=57046398267557647774
APRCL main test (1 37) done: p=2 q=23 k=1 g=5 h=1 R20=73737373737373737372
APRCL main test (1 38) done: p=2 q=67 k=1 g=2 h=0 R20=1
APRCL main test (1 39) done: p=2 q=89 k=3 g=3 h=0 R20=41795677986862168504
APRCL main test (1 40) done: p=2 q=199 k=1 g=3 h=0 R20=1
APRCL main test (1 41) done: p=2 q=331 k=1 g=3 h=0 R20=1
APRCL main test (1 42) done: p=2 q=397 k=2 g=5 h=3 R20=0
APRCL main test (1 43) done: p=2 q=463 k=1 g=3 h=1 R20=73737373737373737372
APRCL main test (1 44) done: p=2 q=617 k=3 g=3 h=2 R20=27217124156430417821
APRCL main test (1 45) done: p=2 q=661 k=2 g=2 h=0 R20=2
APRCL main test (1 46) done: p=2 q=881 k=4 g=3 h=9 R20=63388639457206562759
APRCL main test (1 47) done: p=2 q=991 k=1 g=6 h=1 R20=73737373737373737372
APRCL main test (1 48) done: p=2 q=1321 k=3 g=13 h=0 R20=37235690356769530367
APRCL main test (1 49) done: p=2 q=2311 k=1 g=3 h=1 R20=73737373737373737372
APRCL main test (1 50) done: p=2 q=2377 k=3 g=5 h=6 R20=96076971864631247168
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=2 R20=70263271618909769792
APRCL main test (1 53) done: p=2 q=4159 k=1 g=3 h=1 R20=73737373737373737372
APRCL main test (1 54) done: p=2 q=4621 k=2 g=2 h=1 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=0 R20=48693738131225818023
APRCL main test (1 57) done: p=2 q=16633 k=3 g=15 h=4 R20=45886442070131644983
APRCL main test (1 58) done: p=2 q=18481 k=4 g=13 h=8 R20=27753970670339485427
APRCL main test (1 59) done: p=2 q=23761 k=4 g=7 h=8 R20=53985256199580702907
APRCL main test (1 60) done: p=2 q=101 k=2 g=2 h=2 R20=73737373737373737371
APRCL main test (1 61) done: p=2 q=151 k=1 g=6 h=1 R20=73737373737373737372
APRCL main test (1 62) done: p=2 q=401 k=4 g=3 h=11 R20=58003773876702564734
APRCL main test (1 63) done: p=2 q=601 k=3 g=7 h=6 R20=70348402921675533451
APRCL tests for p=2 completed
APRCL main test (2) at level 9 for p=3
APRCL L_3 condition satisfied
APRCL main test (2 4) done: p=3 q=7 k=1 g=3 h=2 R20=73737373737373737370
APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=2 R20=73737373737373737370
APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=1 R20=1
APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=0 R20=2
APRCL main test (2 9) for p=3 q=19 not needed
APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=8 R20=74833997815332191728
APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=2 R20=85032327729772848534
APRCL main test (2 13) done: p=3 q=43 k=1 g=3 h=0 R20=2
APRCL main test (2 15) done: p=3 q=127 k=2 g=3 h=4 R20=4221097664542882636
APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=2 R20=73737373737373737370
APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=1 R20=1
APRCL main test (2 18) done: p=3 q=631 k=2 g=3 h=2 R20=16654231023087745794
APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=6 R20=76102223378347345781
APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=8 R20=20045478400207883091
APRCL main test (2 25) done: p=3 q=241 k=1 g=7 h=0 R20=2
APRCL main test (2 26) done: p=3 q=337 k=1 g=10 h=1 R20=1
APRCL main test (2 27) done: p=3 q=1009 k=2 g=11 h=7 R20=66999342334129370284
APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=20 R20=55219231836950680326
APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=16 R20=64857824692573189190
APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=25 R20=42147567365637640367
APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=20 R20=60862507878752091199
APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=3 R20=91226143396588394282
APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=20 R20=20626420575709436707
APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=10 R20=87434114923126564080
APRCL main test (2 35) done: p=3 q=7561 k=3 g=13 h=23 R20=44166654689845820257
APRCL main test (2 36) done: p=3 q=15121 k=3 g=11 h=3 R20=41007998417127703444
APRCL main test (2 38) done: p=3 q=67 k=1 g=2 h=1 R20=1
APRCL main test (2 40) done: p=3 q=199 k=2 g=3 h=5 R20=76240635387385269790
APRCL main test (2 41) done: p=3 q=331 k=1 g=3 h=2 R20=73737373737373737370
APRCL main test (2 42) done: p=3 q=397 k=2 g=5 h=0 R20=25383687516065299355
APRCL main test (2 43) done: p=3 q=463 k=1 g=3 h=2 R20=73737373737373737370
APRCL main test (2 45) done: p=3 q=661 k=1 g=2 h=1 R20=1
APRCL main test (2 47) done: p=3 q=991 k=2 g=6 h=7 R20=92491507792979316411
APRCL main test (2 48) done: p=3 q=1321 k=1 g=13 h=0 R20=2
APRCL main test (2 49) done: p=3 q=2311 k=1 g=3 h=2 R20=73737373737373737370
APRCL main test (2 50) done: p=3 q=2377 k=3 g=5 h=21 R20=4331243560003853290
APRCL main test (2 51) done: p=3 q=2971 k=3 g=10 h=3 R20=46151061456029393763
APRCL main test (2 52) done: p=3 q=3697 k=1 g=5 h=2 R20=73737373737373737370
APRCL main test (2 53) done: p=3 q=4159 k=3 g=3 h=9 R20=79153510930867162049
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=20 R20=41532054048895295973
APRCL main test (2 56) done: p=3 q=9241 k=1 g=13 h=0 R20=2
APRCL main test (2 57) done: p=3 q=16633 k=3 g=15 h=19 R20=23194745976476158345
APRCL main test (2 58) done: p=3 q=18481 k=1 g=13 h=0 R20=2
APRCL main test (2 59) done: p=3 q=23761 k=3 g=7 h=0 R20=53051023730892195611
APRCL main test (2 61) done: p=3 q=151 k=1 g=6 h=1 R20=1
APRCL main test (2 63) done: p=3 q=601 k=1 g=7 h=2 R20=73737373737373737370
APRCL tests for p=3 completed
APRCL main test (3) at level 9 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=73011102763168878871
APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=0 R20=70075905915589041365
APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=2 R20=82207815285033201951
APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=0 R20=11752823946307607735
APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=2 R20=69517386651255126937
APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=4 R20=3629625286256572988
APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=1 R20=19087224096844973373
APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=4 R20=96510639225895835273
APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=3 R20=1400065863727157092
APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=0 R20=46473632741478559863
APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=1 R20=81823874977569969841
APRCL main test (3 25) done: p=5 q=241 k=1 g=7 h=3 R20=47033213375367818286
APRCL main test (3 29) done: p=5 q=271 k=1 g=6 h=0 R20=71829369681143258859
APRCL main test (3 32) done: p=5 q=541 k=1 g=2 h=1 R20=24573845336445178212
APRCL main test (3 34) done: p=5 q=2161 k=1 g=23 h=2 R20=58312211544502097532
APRCL main test (3 35) done: p=5 q=7561 k=1 g=13 h=3 R20=33330173573178670165
APRCL main test (3 36) done: p=5 q=15121 k=1 g=11 h=0 R20=93177613683023518941
APRCL main test (3 41) done: p=5 q=331 k=1 g=3 h=1 R20=34201842878969067635
APRCL main test (3 45) done: p=5 q=661 k=1 g=2 h=4 R20=94467108401281464711
APRCL main test (3 46) done: p=5 q=881 k=1 g=3 h=3 R20=2479055400093066838
APRCL main test (3 47) done: p=5 q=991 k=1 g=6 h=0 R20=59822360808554512424
APRCL main test (3 48) done: p=5 q=1321 k=1 g=13 h=0 R20=83488752485199339276
APRCL main test (3 49) done: p=5 q=2311 k=1 g=3 h=0 R20=39542216242778943614
APRCL main test (3 51) done: p=5 q=2971 k=1 g=10 h=1 R20=47997593459449674101
APRCL main test (3 54) done: p=5 q=4621 k=1 g=2 h=0 R20=81722959341466804618
APRCL main test (3 56) done: p=5 q=9241 k=1 g=13 h=3 R20=17298314865373304606
APRCL main test (3 58) done: p=5 q=18481 k=1 g=13 h=0 R20=38120973767375650787
APRCL main test (3 59) done: p=5 q=23761 k=1 g=7 h=2 R20=37379356499984468610
APRCL main test (3 60) done: p=5 q=101 k=2 g=2 h=23 R20=39735970558281158186
APRCL main test (3 61) done: p=5 q=151 k=2 g=6 h=23 R20=97520793179804120196
APRCL main test (3 62) done: p=5 q=401 k=2 g=3 h=24 R20=41408369920914740598
APRCL main test (3 63) done: p=5 q=601 k=2 g=7 h=11 R20=5016920492402019897
APRCL tests for p=5 completed
APRCL main test (4) at level 9 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=78300865061289842953
APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=4 R20=62579255774823460687
APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=5 R20=24444438235576255922
APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=4 R20=5697260086160989947
APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=2 R20=74846123867880574418
APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=4 R20=16036621597332639068
APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=0 R20=24035312965423108772
APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=1 R20=72183653602252026511
APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=3 R20=57149120516732014353
APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=2 R20=72570347269164994893
APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=3 R20=3499024831877475114
APRCL main test (4 27) done: p=7 q=1009 k=1 g=11 h=1 R20=89868100684853697127
APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=6 R20=73016197471559186788
APRCL main test (4 33) done: p=7 q=757 k=1 g=2 h=3 R20=44382372682129868937
APRCL main test (4 35) done: p=7 q=7561 k=1 g=13 h=0 R20=77390436336789881124
APRCL main test (4 36) done: p=7 q=15121 k=1 g=11 h=4 R20=72339947068870190338
APRCL main test (4 43) done: p=7 q=463 k=1 g=3 h=5 R20=37071542892341161231
APRCL main test (4 44) done: p=7 q=617 k=1 g=3 h=0 R20=88515675497127574084
APRCL main test (4 49) done: p=7 q=2311 k=1 g=3 h=4 R20=14765565459642772418
APRCL main test (4 52) done: p=7 q=3697 k=1 g=5 h=0 R20=7511848248040245954
APRCL main test (4 53) done: p=7 q=4159 k=1 g=3 h=6 R20=59217166711606058629
APRCL main test (4 54) done: p=7 q=4621 k=1 g=2 h=1 R20=44204747967077821273
APRCL main test (4 55) done: p=7 q=8317 k=1 g=6 h=4 R20=64664809378882601008
APRCL main test (4 56) done: p=7 q=9241 k=1 g=13 h=5 R20=18734633025665114323
APRCL main test (4 57) done: p=7 q=16633 k=1 g=15 h=1 R20=36527096087393590984
APRCL main test (4 58) done: p=7 q=18481 k=1 g=13 h=6 R20=98651758838924065545
APRCL tests for p=7 completed
APRCL main test (5) at level 9 for p=11
APRCL L_11 condition satisfied
APRCL main test (5 37) done: p=11 q=23 k=1 g=5 h=7 R20=44786383393881471594
APRCL main test (5 38) done: p=11 q=67 k=1 g=2 h=8 R20=92461108373687651424
APRCL main test (5 39) done: p=11 q=89 k=1 g=3 h=9 R20=70948750760838843069
APRCL main test (5 40) done: p=11 q=199 k=1 g=3 h=3 R20=23745478200156693399
APRCL main test (5 41) done: p=11 q=331 k=1 g=3 h=4 R20=3211767412873691450
APRCL main test (5 42) done: p=11 q=397 k=1 g=5 h=5 R20=10896379951960724334
APRCL main test (5 43) done: p=11 q=463 k=1 g=3 h=6 R20=18361011742148341828
APRCL main test (5 44) done: p=11 q=617 k=1 g=3 h=2 R20=25027847944511584785
APRCL main test (5 45) done: p=11 q=661 k=1 g=2 h=8 R20=59566829648052265078
APRCL main test (5 46) done: p=11 q=881 k=1 g=3 h=7 R20=89069182866205733249
APRCL main test (5 47) done: p=11 q=991 k=1 g=6 h=2 R20=28378259231506293732
APRCL main test (5 48) done: p=11 q=1321 k=1 g=13 h=4 R20=49424896901457360873
APRCL main test (5 49) done: p=11 q=2311 k=1 g=3 h=5 R20=86813805403393649080
APRCL main test (5 50) done: p=11 q=2377 k=1 g=5 h=3 R20=2114039773882785861
APRCL main test (5 51) done: p=11 q=2971 k=1 g=10 h=5 R20=56105142785826097863
APRCL main test (5 52) done: p=11 q=3697 k=1 g=5 h=7 R20=12238291376300529501
APRCL main test (5 53) done: p=11 q=4159 k=1 g=3 h=4 R20=52842774378182553194
APRCL main test (5 54) done: p=11 q=4621 k=1 g=2 h=9 R20=24932791972651650900
APRCL main test (5 55) done: p=11 q=8317 k=1 g=6 h=5 R20=45219735669045981498
APRCL main test (5 56) done: p=11 q=9241 k=1 g=13 h=7 R20=72317938780813163855
APRCL main test (5 57) done: p=11 q=16633 k=1 g=15 h=7 R20=66874369884432041983
APRCL main test (5 58) done: p=11 q=18481 k=1 g=13 h=4 R20=95880020134315705741
APRCL main test (5 59) done: p=11 q=23761 k=1 g=7 h=2 R20=58668405620536636510
APRCL tests for p=11 completed
Main divisor test: F1=0.0075 F2=0.0000 G=0.5078 S=0.5003 T=831600
G=5364136011200592494551167253473849626342883031559188037885956104064580097027825148891738141050968289260340083520084986206292217394852510192090242776656024120500
Main divisor test passed: 831600/831600
*** N is prime!
Time: 254 sec

(37*10^849-73)/99


*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(37*10^849-73)/99
N=373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373
Factor: 2^2 divides N - 1
Factor: 2 divides N + 1
Factor: 3 divides N - 1
Factor: 11 divides N - 1
Factor: 367 divides N + 1
Factor: 24697 divides N + 1
Factorization results: F1=0.0025 F2=0.0086
F1=132
F2=18127598
Pass: gcd(5^((N-1)/2) - 1, N) = 1: R20=73737373737373737371
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=73737373737373737371
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=56146355304519065896
Pass: gcd(5^((N-1)/11) - 1, N) = 1: R20=74481138267921832455
Pass: gcd(U{(N+1)/367}, N) = 1: d=5 p=5 q=5 R20=76543909292669512592
Pass: gcd(U{(N+1)/24697}, N) = 1: d=5 p=5 q=5 R20=13729069678635399960
BLS tests passed: F1=0.0025 F2=0.0086
APRCL test
T=21621600
S=287719357863844164966545649505282709335405332298639719732602004560443050175827745233961625706448538440927264832360291529029219805166525949918213571269574226985664065082148313271388702253321006228741428624320062257316383509268644115539222884583601771822579636923516523428995340287895873647748740341119562508482781184085693859403948876855320789861611775392615210894145515944617736613816274358787108950795664029322846375
APRCL main test (1) at level 11 for p=2
APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=0 R20=1
APRCL L_2 condition satisfied
APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=1 R20=0
APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=0 R20=1
APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=0 R20=2
APRCL main test (1 6) 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=1 R20=73737373737373737372
APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=2 R20=73737373737373737371
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=1 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=73737373737373737372
APRCL main test (1 15) done: p=2 q=127 k=1 g=3 h=0 R20=1
APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=0 R20=1
APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=3 R20=0
APRCL main test (1 18) done: p=2 q=631 k=1 g=3 h=0 R20=1
APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=7 R20=8080449546836831536
APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=2 R20=70736527005814952205
APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=1 R20=43608663043731659670
APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=2 R20=55409700286477745203
APRCL main test (1 23) done: p=2 q=17 k=4 g=3 h=5 R20=93686966440560901236
APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=4 R20=22923619315573243029
APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=6 R20=3438045957364274923
APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=3 R20=75179444768117713305
APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=4 R20=49624433692129029912
APRCL main test (1 28) done: p=2 q=109 k=2 g=6 h=3 R20=0
APRCL main test (1 29) done: p=2 q=271 k=1 g=6 h=1 R20=73737373737373737372
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=7 R20=73026408912850523415
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=8 R20=29922874151664019842
APRCL main test (1 35) done: p=2 q=7561 k=3 g=13 h=1 R20=39588556074197573677
APRCL main test (1 36) done: p=2 q=15121 k=4 g=11 h=4 R20=34999716477985681174
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=0 R20=1
APRCL main test (1 39) done: p=2 q=89 k=3 g=3 h=5 R20=10306420762904139071
APRCL main test (1 40) done: p=2 q=199 k=1 g=3 h=0 R20=1
APRCL main test (1 41) done: p=2 q=331 k=1 g=3 h=1 R20=73737373737373737372
APRCL main test (1 42) done: p=2 q=397 k=2 g=5 h=2 R20=73737373737373737371
APRCL main test (1 43) done: p=2 q=463 k=1 g=3 h=0 R20=1
APRCL main test (1 44) done: p=2 q=617 k=3 g=3 h=7 R20=10478965157698899529
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=9 R20=23515746941650927447
APRCL main test (1 47) done: p=2 q=991 k=1 g=6 h=0 R20=1
APRCL main test (1 48) done: p=2 q=1321 k=3 g=13 h=7 R20=11778162088873310081
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=2 R20=9953405329847077658
APRCL main test (1 51) done: p=2 q=2971 k=1 g=10 h=1 R20=73737373737373737372
APRCL main test (1 52) done: p=2 q=3697 k=4 g=5 h=8 R20=78976340605093006086
APRCL main test (1 53) done: p=2 q=4159 k=1 g=3 h=0 R20=1
APRCL main test (1 54) done: p=2 q=4621 k=2 g=2 h=2 R20=73737373737373737371
APRCL main test (1 55) done: p=2 q=8317 k=2 g=6 h=1 R20=0
APRCL main test (1 56) done: p=2 q=9241 k=3 g=13 h=4 R20=61354587214369942075
APRCL main test (1 57) done: p=2 q=16633 k=3 g=15 h=6 R20=53495129312335147902
APRCL main test (1 58) done: p=2 q=18481 k=4 g=13 h=2 R20=31038703484386285434
APRCL main test (1 59) done: p=2 q=23761 k=4 g=7 h=2 R20=59125243424838502692
APRCL main test (1 60) done: p=2 q=55441 k=4 g=38 h=9 R20=85773403122196771048
APRCL main test (1 61) done: p=2 q=101 k=2 g=2 h=3 R20=0
APRCL main test (1 62) done: p=2 q=151 k=1 g=6 h=0 R20=1
APRCL main test (1 63) done: p=2 q=401 k=4 g=3 h=4 R20=56053031261951086320
APRCL main test (1 64) done: p=2 q=601 k=3 g=7 h=3 R20=15078457322555014032
APRCL main test (1 65) done: p=2 q=701 k=2 g=2 h=1 R20=0
APRCL main test (1 66) done: p=2 q=1051 k=1 g=7 h=0 R20=1
APRCL main test (1 67) done: p=2 q=1201 k=4 g=11 h=10 R20=41644134612952952665
APRCL main test (1 68) done: p=2 q=1801 k=3 g=11 h=6 R20=54854467264216201032
APRCL main test (1 69) done: p=2 q=2801 k=4 g=3 h=14 R20=65577634531124286916
APRCL main test (1 70) done: p=2 q=3301 k=2 g=6 h=0 R20=2
APRCL main test (1 71) done: p=2 q=3851 k=1 g=2 h=1 R20=73737373737373737372
APRCL main test (1 72) done: p=2 q=4201 k=3 g=11 h=0 R20=10392707656792191781
APRCL main test (1 73) done: p=2 q=4951 k=1 g=6 h=0 R20=1
APRCL main test (1 74) done: p=2 q=6301 k=2 g=10 h=0 R20=2
APRCL main test (1 75) done: p=2 q=9901 k=2 g=2 h=0 R20=2
APRCL main test (1 76) done: p=2 q=11551 k=1 g=7 h=1 R20=73737373737373737372
APRCL main test (1 77) done: p=2 q=12601 k=3 g=11 h=7 R20=79395957193727986917
APRCL main test (1 78) done: p=2 q=14851 k=1 g=2 h=1 R20=73737373737373737372
APRCL main test (1 79) done: p=2 q=15401 k=3 g=6 h=4 R20=34117346898349517100
APRCL main test (1 80) done: p=2 q=19801 k=3 g=13 h=4 R20=68023227380848601390
APRCL main test (1 81) done: p=2 q=34651 k=1 g=2 h=0 R20=1
APRCL main test (1 82) done: p=2 q=92401 k=4 g=34 h=1 R20=28432183930808421129
APRCL main test (1 83) done: p=2 q=103951 k=1 g=6 h=0 R20=1
APRCL main test (1 84) done: p=2 q=118801 k=4 g=17 h=4 R20=97345808994571726773
APRCL main test (1 85) done: p=2 q=415801 k=3 g=31 h=2 R20=67557470184443190281
APRCL main test (1 86) done: p=2 q=97 k=5 g=5 h=9 R20=5306569813451880270
APRCL main test (1 87) done: p=2 q=353 k=5 g=3 h=1 R20=86652999797298720126
APRCL main test (1 88) done: p=2 q=673 k=5 g=5 h=28 R20=63325999964541514812
APRCL main test (1 89) done: p=2 q=2017 k=5 g=5 h=11 R20=70659750334096541357
APRCL main test (1 90) done: p=2 q=3169 k=5 g=7 h=3 R20=35386155351214198620
APRCL main test (1 91) done: p=2 q=3361 k=5 g=22 h=2 R20=79541043588514568071
APRCL main test (1 92) done: p=2 q=5281 k=5 g=7 h=18 R20=49466408200325431767
APRCL main test (1 93) done: p=2 q=7393 k=5 g=5 h=14 R20=33919542364317280691
APRCL main test (1 94) done: p=2 q=21601 k=5 g=7 h=7 R20=38406233606987068318
APRCL main test (1 95) done: p=2 q=30241 k=5 g=11 h=23 R20=53422229531047483313
APRCL main test (1 96) done: p=2 q=47521 k=5 g=17 h=20 R20=56538152843072951823
APRCL main test (1 97) done: p=2 q=66529 k=5 g=19 h=28 R20=33655678610785575981
APRCL main test (1 98) done: p=2 q=79201 k=5 g=13 h=27 R20=23011225188754244159
APRCL main test (1 99) done: p=2 q=110881 k=5 g=69 h=26 R20=11796647664821460467
APRCL main test (1 100) done: p=2 q=151201 k=5 g=17 h=3 R20=36877827933342018735
APRCL main test (1 101) done: p=2 q=332641 k=5 g=19 h=9 R20=81492431414549662795
APRCL main test (1 102) done: p=2 q=53 k=2 g=2 h=2 R20=73737373737373737371
APRCL main test (1 103) done: p=2 q=79 k=1 g=3 h=0 R20=1
APRCL main test (1 104) done: p=2 q=131 k=1 g=2 h=1 R20=73737373737373737372
APRCL main test (1 105) done: p=2 q=157 k=2 g=5 h=0 R20=2
APRCL main test (1 106) done: p=2 q=313 k=3 g=10 h=2 R20=94314769369051938161
APRCL main test (1 107) done: p=2 q=521 k=3 g=3 h=4 R20=60983100858643020732
APRCL main test (1 108) done: p=2 q=547 k=1 g=2 h=1 R20=73737373737373737372
APRCL main test (1 109) done: p=2 q=859 k=1 g=2 h=0 R20=1
APRCL main test (1 110) done: p=2 q=911 k=1 g=17 h=0 R20=1
APRCL main test (1 111) done: p=2 q=937 k=3 g=5 h=2 R20=60835877609471157422
APRCL main test (1 112) done: p=2 q=1093 k=2 g=5 h=1 R20=0
APRCL main test (1 113) done: p=2 q=1171 k=1 g=2 h=0 R20=1
APRCL main test (1 114) done: p=2 q=1249 k=5 g=7 h=20 R20=66094212406053192016
APRCL main test (1 115) done: p=2 q=1301 k=2 g=2 h=1 R20=0
APRCL main test (1 116) done: p=2 q=1873 k=4 g=10 h=7 R20=35650391206431815126
APRCL main test (1 117) done: p=2 q=1951 k=1 g=3 h=1 R20=73737373737373737372
APRCL main test (1 118) done: p=2 q=2003 k=1 g=5 h=1 R20=73737373737373737372
APRCL main test (1 119) done: p=2 q=2081 k=5 g=3 h=13 R20=30427943243606737750
Parameters saved: 2 21621600 1 120 1 1 1854
APRCL main test (1 120) done: p=2 q=2341 k=2 g=7 h=0 R20=2
APRCL main test (1 121) done: p=2 q=2731 k=1 g=3 h=0 R20=1
APRCL main test (1 122) done: p=2 q=2861 k=2 g=2 h=1 R20=0
APRCL main test (1 123) done: p=2 q=3121 k=4 g=7 h=8 R20=71355528024677566526
APRCL main test (1 124) done: p=2 q=3433 k=3 g=5 h=7 R20=74534654810796109660
APRCL main test (1 125) done: p=2 q=3511 k=1 g=7 h=0 R20=1
APRCL main test (1 126) done: p=2 q=5851 k=1 g=2 h=1 R20=73737373737373737372
APRCL main test (1 127) done: p=2 q=6007 k=1 g=3 h=0 R20=1
APRCL main test (1 128) done: p=2 q=6553 k=3 g=10 h=5 R20=8918709642213518752
APRCL main test (1 129) done: p=2 q=7151 k=1 g=7 h=1 R20=73737373737373737372
APRCL main test (1 130) done: p=2 q=7723 k=1 g=3 h=0 R20=1
APRCL main test (1 131) done: p=2 q=8009 k=3 g=3 h=2 R20=19583027835013380528
APRCL main test (1 132) done: p=2 q=8191 k=1 g=17 h=0 R20=1
APRCL main test (1 133) done: p=2 q=8581 k=2 g=6 h=3 R20=0
APRCL main test (1 134) done: p=2 q=8737 k=5 g=5 h=22 R20=36864175679060209140
APRCL tests for p=2 completed
APRCL main test (2) at level 11 for p=3
APRCL L_3 condition satisfied
APRCL main test (2 4) done: p=3 q=7 k=1 g=3 h=2 R20=73737373737373737370
APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=2 R20=73737373737373737370
APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=2 R20=73737373737373737370
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=6 R20=4225159452998837211
APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=2 R20=8451971840627867826
APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=3 R20=4094053175871877047
APRCL main test (2 13) done: p=3 q=43 k=1 g=3 h=0 R20=2
APRCL main test (2 15) done: p=3 q=127 k=2 g=3 h=6 R20=61341265295179701235
APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=1 R20=1
APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=1 R20=1
APRCL main test (2 18) done: p=3 q=631 k=2 g=3 h=0 R20=47083124731660807933
APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=6 R20=52969571893791655310
APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=2 R20=57683169435651938363
APRCL main test (2 25) done: p=3 q=241 k=1 g=7 h=0 R20=2
APRCL main test (2 26) done: p=3 q=337 k=1 g=10 h=1 R20=1
APRCL main test (2 27) done: p=3 q=1009 k=2 g=11 h=8 R20=95690200090544851877
APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=5 R20=41279939216706584854
APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=4 R20=98447476053380865892
APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=22 R20=3303356701412205834
APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=23 R20=48619414439394632019
APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=13 R20=69541956034817038147
APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=12 R20=56012806529838518036
APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=19 R20=99783452038603392120
APRCL main test (2 35) done: p=3 q=7561 k=3 g=13 h=12 R20=33332147741880795598
APRCL main test (2 36) done: p=3 q=15121 k=3 g=11 h=21 R20=48968569896730547953
APRCL main test (2 38) done: p=3 q=67 k=1 g=2 h=2 R20=73737373737373737370
APRCL main test (2 40) done: p=3 q=199 k=2 g=3 h=8 R20=91680780090976643182
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=5 R20=46091891808635288642
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=73737373737373737370
APRCL main test (2 47) done: p=3 q=991 k=2 g=6 h=6 R20=72663413904170902140
APRCL main test (2 48) done: p=3 q=1321 k=1 g=13 h=2 R20=73737373737373737370
APRCL main test (2 49) done: p=3 q=2311 k=1 g=3 h=2 R20=73737373737373737370
APRCL main test (2 50) done: p=3 q=2377 k=3 g=5 h=8 R20=40728838838583531315
APRCL main test (2 51) done: p=3 q=2971 k=3 g=10 h=26 R20=99436843566783287696
APRCL main test (2 52) done: p=3 q=3697 k=1 g=5 h=2 R20=73737373737373737370
APRCL main test (2 53) done: p=3 q=4159 k=3 g=3 h=17 R20=56671916627062129572
APRCL main test (2 54) done: p=3 q=4621 k=1 g=2 h=0 R20=2
APRCL main test (2 55) done: p=3 q=8317 k=3 g=6 h=0 R20=61058836565136677671
APRCL main test (2 56) done: p=3 q=9241 k=1 g=13 h=1 R20=1
APRCL main test (2 57) done: p=3 q=16633 k=3 g=15 h=18 R20=5727495663662218918
APRCL main test (2 58) done: p=3 q=18481 k=1 g=13 h=2 R20=73737373737373737370
APRCL main test (2 59) done: p=3 q=23761 k=3 g=7 h=18 R20=63299707167412159680
APRCL main test (2 60) done: p=3 q=55441 k=2 g=38 h=8 R20=27324795335348484346
APRCL main test (2 62) done: p=3 q=151 k=1 g=6 h=0 R20=2
APRCL main test (2 64) done: p=3 q=601 k=1 g=7 h=2 R20=73737373737373737370
APRCL main test (2 66) done: p=3 q=1051 k=1 g=7 h=2 R20=73737373737373737370
APRCL main test (2 67) done: p=3 q=1201 k=1 g=11 h=1 R20=1
APRCL main test (2 68) done: p=3 q=1801 k=2 g=11 h=1 R20=59347425464525035764
APRCL main test (2 70) done: p=3 q=3301 k=1 g=6 h=2 R20=73737373737373737370
APRCL main test (2 72) done: p=3 q=4201 k=1 g=11 h=0 R20=2
APRCL main test (2 73) done: p=3 q=4951 k=2 g=6 h=0 R20=27286651187512813392
APRCL main test (2 74) done: p=3 q=6301 k=2 g=10 h=8 R20=96336038489413296433
APRCL main test (2 75) done: p=3 q=9901 k=2 g=2 h=4 R20=74466118231371759653
APRCL main test (2 76) done: p=3 q=11551 k=1 g=7 h=2 R20=73737373737373737370
APRCL main test (2 77) done: p=3 q=12601 k=2 g=11 h=0 R20=16660793631782919669
APRCL main test (2 78) done: p=3 q=14851 k=3 g=2 h=12 R20=41901088231686238422
APRCL main test (2 80) done: p=3 q=19801 k=2 g=13 h=7 R20=34984100897247251176
APRCL main test (2 81) done: p=3 q=34651 k=2 g=2 h=3 R20=70880112537802833721
APRCL main test (2 82) done: p=3 q=92401 k=1 g=34 h=1 R20=1
APRCL main test (2 83) done: p=3 q=103951 k=3 g=6 h=24 R20=93522248536731962498
Parameters saved: 2 21621600 2 84 1 2 1885
APRCL main test (2 84) done: p=3 q=118801 k=3 g=17 h=13 R20=19481917918878542378
APRCL main test (2 85) done: p=3 q=415801 k=3 g=31 h=8 R20=98315910991132618222
APRCL main test (2 86) done: p=3 q=97 k=1 g=5 h=2 R20=73737373737373737370
APRCL main test (2 88) done: p=3 q=673 k=1 g=5 h=2 R20=73737373737373737370
APRCL main test (2 89) done: p=3 q=2017 k=2 g=5 h=4 R20=66353844107082145562
APRCL main test (2 90) done: p=3 q=3169 k=2 g=7 h=0 R20=24198140744553163348
APRCL main test (2 91) done: p=3 q=3361 k=1 g=22 h=0 R20=2
APRCL main test (2 92) done: p=3 q=5281 k=1 g=7 h=1 R20=1
APRCL main test (2 93) done: p=3 q=7393 k=1 g=5 h=1 R20=1
APRCL main test (2 94) done: p=3 q=21601 k=3 g=7 h=9 R20=93229051102955620186
APRCL main test (2 95) done: p=3 q=30241 k=3 g=11 h=3 R20=59731398091713927732
APRCL main test (2 96) done: p=3 q=47521 k=3 g=17 h=21 R20=23405118559937541457
APRCL main test (2 97) done: p=3 q=66529 k=3 g=19 h=22 R20=49849523955877450925
APRCL main test (2 98) done: p=3 q=79201 k=2 g=13 h=6 R20=8749941986570156543
APRCL main test (2 99) done: p=3 q=110881 k=2 g=69 h=2 R20=92612007447097981955
APRCL main test (2 100) done: p=3 q=151201 k=3 g=17 h=14 R20=60914945011682730688
APRCL main test (2 101) done: p=3 q=332641 k=3 g=19 h=7 R20=73732320926641045499
APRCL main test (2 103) done: p=3 q=79 k=1 g=3 h=0 R20=2
APRCL main test (2 105) done: p=3 q=157 k=1 g=5 h=0 R20=2
APRCL main test (2 106) done: p=3 q=313 k=1 g=10 h=1 R20=1
APRCL main test (2 108) done: p=3 q=547 k=1 g=2 h=2 R20=73737373737373737370
APRCL main test (2 109) done: p=3 q=859 k=1 g=2 h=0 R20=2
APRCL main test (2 111) done: p=3 q=937 k=2 g=5 h=0 R20=65236656760080385832
APRCL main test (2 112) done: p=3 q=1093 k=1 g=5 h=1 R20=1
APRCL main test (2 113) done: p=3 q=1171 k=2 g=2 h=1 R20=12483763739985210128
APRCL main test (2 114) done: p=3 q=1249 k=1 g=7 h=0 R20=2
APRCL main test (2 116) done: p=3 q=1873 k=2 g=10 h=6 R20=79754181733976161840
APRCL main test (2 117) done: p=3 q=1951 k=1 g=3 h=2 R20=73737373737373737370
APRCL main test (2 120) done: p=3 q=2341 k=2 g=7 h=4 R20=33167780697240818722
APRCL main test (2 121) done: p=3 q=2731 k=1 g=3 h=2 R20=73737373737373737370
APRCL main test (2 123) done: p=3 q=3121 k=1 g=7 h=0 R20=2
APRCL main test (2 124) done: p=3 q=3433 k=1 g=5 h=0 R20=2
APRCL main test (2 125) done: p=3 q=3511 k=3 g=7 h=12 R20=97887059706027129546
APRCL main test (2 126) done: p=3 q=5851 k=2 g=2 h=5 R20=97429509883363920958
APRCL main test (2 127) done: p=3 q=6007 k=1 g=3 h=2 R20=73737373737373737370
APRCL main test (2 128) done: p=3 q=6553 k=2 g=10 h=4 R20=78444243474745368910
APRCL main test (2 130) done: p=3 q=7723 k=3 g=3 h=19 R20=35300370541934182645
APRCL main test (2 132) done: p=3 q=8191 k=2 g=17 h=0 R20=59655158073315186484
APRCL main test (2 133) done: p=3 q=8581 k=1 g=6 h=1 R20=1
APRCL main test (2 134) done: p=3 q=8737 k=1 g=5 h=1 R20=1
APRCL tests for p=3 completed
APRCL main test (3) at level 11 for p=5
APRCL L_5 condition satisfied
APRCL main test (3 6) for p=5 q=11 not needed
APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=4 R20=8749880056650557808
APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=0 R20=31985438731377818790
APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=2 R20=49502450120639009496
APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=3 R20=11192864971877072650
APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=1 R20=90468497397119717211
APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=3 R20=48421648212321997459
APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=1 R20=90333653896872720931
APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=2 R20=58861507224125294089
APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=2 R20=78157457056085375728
APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=4 R20=38484459714647103953
APRCL main test (3 25) done: p=5 q=241 k=1 g=7 h=3 R20=68438884444054216616
APRCL main test (3 29) done: p=5 q=271 k=1 g=6 h=1 R20=34561652278271050646
APRCL main test (3 32) done: p=5 q=541 k=1 g=2 h=3 R20=21274133970459313689
APRCL main test (3 34) done: p=5 q=2161 k=1 g=23 h=4 R20=96776130407518348199
APRCL main test (3 35) done: p=5 q=7561 k=1 g=13 h=4 R20=75987403123810780220
APRCL main test (3 36) done: p=5 q=15121 k=1 g=11 h=0 R20=33375375094295830655
APRCL main test (3 41) done: p=5 q=331 k=1 g=3 h=1 R20=24073738972448574027
APRCL main test (3 45) done: p=5 q=661 k=1 g=2 h=1 R20=5895017735390627278
APRCL main test (3 46) done: p=5 q=881 k=1 g=3 h=0 R20=32474164894934705467
APRCL main test (3 47) done: p=5 q=991 k=1 g=6 h=0 R20=57851970922691522331
APRCL main test (3 48) done: p=5 q=1321 k=1 g=13 h=1 R20=81538781012417641942
APRCL main test (3 49) done: p=5 q=2311 k=1 g=3 h=1 R20=56328661940406984581
APRCL main test (3 51) done: p=5 q=2971 k=1 g=10 h=1 R20=93531135927548288266
APRCL main test (3 54) done: p=5 q=4621 k=1 g=2 h=4 R20=15236900274924271463
APRCL main test (3 56) done: p=5 q=9241 k=1 g=13 h=1 R20=8630887777723066734
APRCL main test (3 58) done: p=5 q=18481 k=1 g=13 h=3 R20=16615136943738448889
APRCL main test (3 59) done: p=5 q=23761 k=1 g=7 h=0 R20=67233015630432594623
APRCL main test (3 60) done: p=5 q=55441 k=1 g=38 h=1 R20=66744573838999402767
APRCL main test (3 61) done: p=5 q=101 k=2 g=2 h=18 R20=42400625258445214065
APRCL main test (3 62) done: p=5 q=151 k=2 g=6 h=14 R20=82290329641478951270
APRCL main test (3 63) done: p=5 q=401 k=2 g=3 h=13 R20=51188276077690168609
APRCL main test (3 64) done: p=5 q=601 k=2 g=7 h=1 R20=18571853963779609030
APRCL main test (3 65) done: p=5 q=701 k=2 g=2 h=4 R20=51424643993778586241
APRCL main test (3 66) done: p=5 q=1051 k=2 g=7 h=9 R20=33340086467714884729
Parameters saved: 2 21621600 3 67 1 3 1859
APRCL main test (3 67) done: p=5 q=1201 k=2 g=11 h=8 R20=25753460547845439743
APRCL main test (3 68) done: p=5 q=1801 k=2 g=11 h=14 R20=7867345863457260286
APRCL main test (3 69) done: p=5 q=2801 k=2 g=3 h=4 R20=14115657514538682480
APRCL main test (3 70) done: p=5 q=3301 k=2 g=6 h=9 R20=44410053917347717625
APRCL main test (3 71) done: p=5 q=3851 k=2 g=2 h=12 R20=93257147115523218950
APRCL main test (3 72) done: p=5 q=4201 k=2 g=11 h=7 R20=14830585486336986630
APRCL main test (3 73) done: p=5 q=4951 k=2 g=6 h=20 R20=36355591749349842078
APRCL main test (3 74) done: p=5 q=6301 k=2 g=10 h=0 R20=1570037532197658018
APRCL main test (3 75) done: p=5 q=9901 k=2 g=2 h=6 R20=6327742235531904735
APRCL main test (3 76) done: p=5 q=11551 k=2 g=7 h=24 R20=46603418804163518508
APRCL main test (3 77) done: p=5 q=12601 k=2 g=11 h=15 R20=54294459958431993031
APRCL main test (3 78) done: p=5 q=14851 k=2 g=2 h=14 R20=31464515025149046885
APRCL main test (3 79) done: p=5 q=15401 k=2 g=6 h=3 R20=45773505884319515350
APRCL main test (3 80) done: p=5 q=19801 k=2 g=13 h=8 R20=88073336133411474348
APRCL main test (3 81) done: p=5 q=34651 k=2 g=2 h=20 R20=36029743330777492726
APRCL main test (3 82) done: p=5 q=92401 k=2 g=34 h=0 R20=56115497684031651204
Parameters saved: 2 21621600 3 83 1 4 1881
APRCL main test (3 83) done: p=5 q=103951 k=2 g=6 h=20 R20=98263445665208901335
APRCL main test (3 84) done: p=5 q=118801 k=2 g=17 h=3 R20=74652000630339735077
APRCL main test (3 85) done: p=5 q=415801 k=2 g=31 h=12 R20=51504020322671127361
APRCL main test (3 91) done: p=5 q=3361 k=1 g=22 h=2 R20=74618198742790698154
APRCL main test (3 92) done: p=5 q=5281 k=1 g=7 h=0 R20=69740805136438346981
APRCL main test (3 94) done: p=5 q=21601 k=2 g=7 h=22 R20=28414740882269191536
APRCL main test (3 95) done: p=5 q=30241 k=1 g=11 h=1 R20=83930996425455357298
APRCL main test (3 96) done: p=5 q=47521 k=1 g=17 h=0 R20=18452923931321541345
APRCL main test (3 98) done: p=5 q=79201 k=2 g=13 h=0 R20=74542716236004829532
APRCL main test (3 99) done: p=5 q=110881 k=1 g=69 h=1 R20=77051142413385801224
APRCL main test (3 100) done: p=5 q=151201 k=2 g=17 h=23 R20=91413402668268907715
APRCL main test (3 101) done: p=5 q=332641 k=1 g=19 h=0 R20=24670430038702435697
APRCL main test (3 104) done: p=5 q=131 k=1 g=2 h=2 R20=13865158204777908784
APRCL main test (3 107) done: p=5 q=521 k=1 g=3 h=0 R20=48408072671575963005
APRCL main test (3 110) done: p=5 q=911 k=1 g=17 h=1 R20=73574730690443148234
APRCL main test (3 113) done: p=5 q=1171 k=1 g=2 h=0 R20=70387378004484935624
APRCL main test (3 115) done: p=5 q=1301 k=2 g=2 h=13 R20=72528036275518762794
APRCL main test (3 117) done: p=5 q=1951 k=2 g=3 h=12 R20=87091693187866672226
APRCL main test (3 119) done: p=5 q=2081 k=1 g=3 h=3 R20=67169445499137999685
APRCL main test (3 120) done: p=5 q=2341 k=1 g=7 h=2 R20=22727305890490279755
APRCL main test (3 121) done: p=5 q=2731 k=1 g=3 h=0 R20=18190408117792329932
APRCL main test (3 122) done: p=5 q=2861 k=1 g=2 h=0 R20=43618831988418994355
APRCL main test (3 123) done: p=5 q=3121 k=1 g=7 h=3 R20=46324331188878127550
APRCL main test (3 125) done: p=5 q=3511 k=1 g=7 h=3 R20=95630449782718400267
APRCL main test (3 126) done: p=5 q=5851 k=2 g=2 h=13 R20=79346667043562749815
APRCL main test (3 129) done: p=5 q=7151 k=2 g=7 h=22 R20=12894060604322113524
APRCL main test (3 132) done: p=5 q=8191 k=1 g=17 h=2 R20=58112103747737603632
APRCL main test (3 133) done: p=5 q=8581 k=1 g=6 h=2 R20=64693711594908680865
APRCL tests for p=5 completed
APRCL main test (4) at level 11 for p=7
APRCL L_7 condition satisfied
APRCL main test (4 12) done: p=7 q=29 k=1 g=2 h=3 R20=96972968853734772796
APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=3 R20=51947131775323003768
APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=5 R20=12164914086620879650
APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=4 R20=91178861718257915160
APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=3 R20=68425975120414328026
APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=4 R20=98937916362753093170
APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=1 R20=67235471762341096402
APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=0 R20=43041506736066341396
APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=2 R20=59981214466484820302
APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=3 R20=28036371944564975668
APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=6 R20=29236499322944371723
APRCL main test (4 27) done: p=7 q=1009 k=1 g=11 h=4 R20=52789902325295011055
APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=0 R20=9151689760769796660
APRCL main test (4 33) done: p=7 q=757 k=1 g=2 h=1 R20=82285392467927318305
APRCL main test (4 35) done: p=7 q=7561 k=1 g=13 h=2 R20=43937112340408227516
APRCL main test (4 36) done: p=7 q=15121 k=1 g=11 h=0 R20=78278649088210819800
APRCL main test (4 43) done: p=7 q=463 k=1 g=3 h=5 R20=30375153883596921004
APRCL main test (4 44) done: p=7 q=617 k=1 g=3 h=4 R20=5887696211291985537
APRCL main test (4 49) done: p=7 q=2311 k=1 g=3 h=4 R20=71667210274919653595
APRCL main test (4 52) done: p=7 q=3697 k=1 g=5 h=0 R20=93821276146066270391
APRCL main test (4 53) done: p=7 q=4159 k=1 g=3 h=5 R20=74381495005773177604
APRCL main test (4 54) done: p=7 q=4621 k=1 g=2 h=1 R20=82213067721677582100
APRCL main test (4 55) done: p=7 q=8317 k=1 g=6 h=6 R20=28984169226098398169
APRCL main test (4 56) done: p=7 q=9241 k=1 g=13 h=2 R20=5436562538876966800
APRCL main test (4 57) done: p=7 q=16633 k=1 g=15 h=4 R20=53006082001775257725
APRCL main test (4 58) done: p=7 q=18481 k=1 g=13 h=4 R20=11152579711390104718
APRCL main test (4 60) done: p=7 q=55441 k=1 g=38 h=0 R20=33364474452051660471
APRCL main test (4 65) done: p=7 q=701 k=1 g=2 h=6 R20=1173620109364052238
APRCL main test (4 66) done: p=7 q=1051 k=1 g=7 h=3 R20=27134875476627624266
APRCL main test (4 69) done: p=7 q=2801 k=1 g=3 h=3 R20=61994239982890695927
APRCL main test (4 71) done: p=7 q=3851 k=1 g=2 h=6 R20=43559361016565076386
APRCL main test (4 72) done: p=7 q=4201 k=1 g=11 h=6 R20=78181553503635910577
APRCL main test (4 74) done: p=7 q=6301 k=1 g=10 h=5 R20=15160363141456984876
APRCL main test (4 76) done: p=7 q=11551 k=1 g=7 h=0 R20=84865166225976915576
APRCL main test (4 77) done: p=7 q=12601 k=1 g=11 h=2 R20=11871280591129393671
APRCL main test (4 79) done: p=7 q=15401 k=1 g=6 h=3 R20=26429179545646626604
APRCL main test (4 81) done: p=7 q=34651 k=1 g=2 h=2 R20=70550688366929116224
APRCL main test (4 82) done: p=7 q=92401 k=1 g=34 h=1 R20=48824460774464180071
APRCL main test (4 83) done: p=7 q=103951 k=1 g=6 h=5 R20=98961842471197140693
APRCL main test (4 85) done: p=7 q=415801 k=1 g=31 h=3 R20=61031395118221963407
APRCL main test (4 88) done: p=7 q=673 k=1 g=5 h=4 R20=62520456197294643878
APRCL main test (4 89) done: p=7 q=2017 k=1 g=5 h=2 R20=59459385836791417792
APRCL main test (4 91) done: p=7 q=3361 k=1 g=22 h=3 R20=62380795689858369365
APRCL main test (4 93) done: p=7 q=7393 k=1 g=5 h=6 R20=62028441474512558945
APRCL main test (4 95) done: p=7 q=30241 k=1 g=11 h=5 R20=67023459211481682856
APRCL main test (4 97) done: p=7 q=66529 k=1 g=19 h=4 R20=38138702545342881386
APRCL main test (4 99) done: p=7 q=110881 k=1 g=69 h=4 R20=74479631629919696028
APRCL main test (4 100) done: p=7 q=151201 k=1 g=17 h=1 R20=39093648076795746730
APRCL main test (4 101) done: p=7 q=332641 k=1 g=19 h=5 R20=82013492728186429887
APRCL main test (4 108) done: p=7 q=547 k=1 g=2 h=5 R20=26405402558548290638
APRCL main test (4 110) done: p=7 q=911 k=1 g=17 h=4 R20=13250475638704142291
APRCL main test (4 112) done: p=7 q=1093 k=1 g=5 h=5 R20=30378472733189351722
APRCL main test (4 118) done: p=7 q=2003 k=1 g=5 h=2 R20=37779517117060152222
APRCL main test (4 121) done: p=7 q=2731 k=1 g=3 h=6 R20=11693486317292330159
APRCL main test (4 127) done: p=7 q=6007 k=1 g=3 h=5 R20=898061564829158816
APRCL main test (4 128) done: p=7 q=6553 k=1 g=10 h=4 R20=38816482665958872250
APRCL main test (4 131) done: p=7 q=8009 k=1 g=3 h=5 R20=55668521095881402142
APRCL main test (4 132) done: p=7 q=8191 k=1 g=17 h=0 R20=64780328421936909558
APRCL main test (4 134) done: p=7 q=8737 k=1 g=5 h=3 R20=87258132666655524224
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=3 R20=1
APRCL main test (5 38) done: p=11 q=67 k=1 g=2 h=3 R20=1
Parameters saved: 2 21621600 5 39 1 5 1807
APRCL main test (5 39) done: p=11 q=89 k=1 g=3 h=5 R20=1
APRCL main test (5 40) done: p=11 q=199 k=1 g=3 h=4 R20=1
APRCL main test (5 41) done: p=11 q=331 k=1 g=3 h=8 R20=1
APRCL main test (5 42) done: p=11 q=397 k=1 g=5 h=3 R20=1
APRCL main test (5 43) done: p=11 q=463 k=1 g=3 h=6 R20=1
APRCL main test (5 44) done: p=11 q=617 k=1 g=3 h=7 R20=1
APRCL main test (5 45) done: p=11 q=661 k=1 g=2 h=3 R20=1
APRCL main test (5 46) done: p=11 q=881 k=1 g=3 h=7 R20=1
APRCL main test (5 47) done: p=11 q=991 k=1 g=6 h=3 R20=1
APRCL main test (5 48) done: p=11 q=1321 k=1 g=13 h=0 R20=10
APRCL main test (5 49) done: p=11 q=2311 k=1 g=3 h=10 R20=73737373737373737354
APRCL main test (5 50) done: p=11 q=2377 k=1 g=5 h=10 R20=73737373737373737354
APRCL main test (5 51) done: p=11 q=2971 k=1 g=10 h=0 R20=10
APRCL main test (5 52) done: p=11 q=3697 k=1 g=5 h=7 R20=1
APRCL main test (5 53) done: p=11 q=4159 k=1 g=3 h=10 R20=73737373737373737354
APRCL main test (5 54) done: p=11 q=4621 k=1 g=2 h=1 R20=1
APRCL main test (5 55) done: p=11 q=8317 k=1 g=6 h=6 R20=1
APRCL main test (5 56) done: p=11 q=9241 k=1 g=13 h=2 R20=1
APRCL main test (5 57) done: p=11 q=16633 k=1 g=15 h=7 R20=1
APRCL main test (5 58) done: p=11 q=18481 k=1 g=13 h=10 R20=73737373737373737354
APRCL main test (5 59) done: p=11 q=23761 k=1 g=7 h=3 R20=1
APRCL main test (5 60) done: p=11 q=55441 k=1 g=38 h=7 R20=1
APRCL main test (5 70) done: p=11 q=3301 k=1 g=6 h=1 R20=1
APRCL main test (5 71) done: p=11 q=3851 k=1 g=2 h=1 R20=1
APRCL main test (5 73) done: p=11 q=4951 k=1 g=6 h=1 R20=1
APRCL main test (5 75) done: p=11 q=9901 k=1 g=2 h=6 R20=1
APRCL main test (5 76) done: p=11 q=11551 k=1 g=7 h=8 R20=1
APRCL main test (5 78) done: p=11 q=14851 k=1 g=2 h=8 R20=1
APRCL main test (5 79) done: p=11 q=15401 k=1 g=6 h=7 R20=1
APRCL main test (5 80) done: p=11 q=19801 k=1 g=13 h=9 R20=1
APRCL main test (5 81) done: p=11 q=34651 k=1 g=2 h=1 R20=1
APRCL main test (5 82) done: p=11 q=92401 k=1 g=34 h=4 R20=1
APRCL main test (5 83) done: p=11 q=103951 k=1 g=6 h=10 R20=73737373737373737354
APRCL main test (5 84) done: p=11 q=118801 k=1 g=17 h=6 R20=1
APRCL main test (5 85) done: p=11 q=415801 k=1 g=31 h=8 R20=1
APRCL main test (5 87) done: p=11 q=353 k=1 g=3 h=6 R20=1
APRCL main test (5 90) done: p=11 q=3169 k=1 g=7 h=1 R20=1
APRCL main test (5 92) done: p=11 q=5281 k=1 g=7 h=0 R20=10
APRCL main test (5 93) done: p=11 q=7393 k=1 g=5 h=5 R20=1
APRCL main test (5 96) done: p=11 q=47521 k=1 g=17 h=8 R20=1
APRCL main test (5 97) done: p=11 q=66529 k=1 g=19 h=1 R20=1
APRCL main test (5 98) done: p=11 q=79201 k=1 g=13 h=2 R20=1
APRCL main test (5 99) done: p=11 q=110881 k=1 g=69 h=5 R20=1
APRCL main test (5 101) done: p=11 q=332641 k=1 g=19 h=3 R20=1
APRCL main test (5 109) done: p=11 q=859 k=1 g=2 h=1 R20=1
APRCL main test (5 118) done: p=11 q=2003 k=1 g=5 h=2 R20=1
APRCL main test (5 122) done: p=11 q=2861 k=1 g=2 h=10 R20=73737373737373737354
APRCL main test (5 124) done: p=11 q=3433 k=1 g=5 h=4 R20=1
APRCL main test (5 127) done: p=11 q=6007 k=1 g=3 h=9 R20=1
APRCL main test (5 129) done: p=11 q=7151 k=1 g=7 h=7 R20=1
APRCL main test (5 130) done: p=11 q=7723 k=1 g=3 h=1 R20=1
APRCL main test (5 131) done: p=11 q=8009 k=1 g=3 h=10 R20=73737373737373737354
APRCL main test (5 133) done: p=11 q=8581 k=1 g=6 h=7 R20=1
APRCL tests for p=11 completed
APRCL main test (6) at level 11 for p=13
APRCL L_13 condition satisfied
APRCL main test (6 102) done: p=13 q=53 k=1 g=2 h=6 R20=23524799419119223524
APRCL main test (6 103) done: p=13 q=79 k=1 g=3 h=6 R20=95993869519060117943
APRCL main test (6 104) done: p=13 q=131 k=1 g=2 h=8 R20=90169726180285429009
APRCL main test (6 105) done: p=13 q=157 k=1 g=5 h=8 R20=34661366451861301459
APRCL main test (6 106) done: p=13 q=313 k=1 g=10 h=5 R20=24973978950997195127
APRCL main test (6 107) done: p=13 q=521 k=1 g=3 h=1 R20=81037059284465302670
APRCL main test (6 108) done: p=13 q=547 k=1 g=2 h=8 R20=3671950635991811218
APRCL main test (6 109) done: p=13 q=859 k=1 g=2 h=7 R20=48897221450204684154
APRCL main test (6 110) done: p=13 q=911 k=1 g=17 h=3 R20=35615141123040157068
APRCL main test (6 111) done: p=13 q=937 k=1 g=5 h=10 R20=68499821044268973050
APRCL main test (6 112) done: p=13 q=1093 k=1 g=5 h=5 R20=79276933385521414442
APRCL main test (6 113) done: p=13 q=1171 k=1 g=2 h=5 R20=18840405108149921245
APRCL main test (6 114) done: p=13 q=1249 k=1 g=7 h=12 R20=34884806905246411487
APRCL main test (6 115) done: p=13 q=1301 k=1 g=2 h=6 R20=46235737176191753950
APRCL main test (6 116) done: p=13 q=1873 k=1 g=10 h=9 R20=34232085744000643837
APRCL main test (6 117) done: p=13 q=1951 k=1 g=3 h=4 R20=7044047394138804094
Parameters saved: 2 21621600 6 118 1 6 1824
APRCL main test (6 118) done: p=13 q=2003 k=1 g=5 h=12 R20=83426966251342275857
APRCL main test (6 119) done: p=13 q=2081 k=1 g=3 h=1 R20=41630599536368759930
APRCL main test (6 120) done: p=13 q=2341 k=1 g=7 h=7 R20=9773592661293029804
APRCL main test (6 121) done: p=13 q=2731 k=1 g=3 h=7 R20=31158135192689568449
APRCL main test (6 122) done: p=13 q=2861 k=1 g=2 h=7 R20=27057709854082195299
APRCL main test (6 123) done: p=13 q=3121 k=1 g=7 h=9 R20=40903525018738636281
APRCL main test (6 124) done: p=13 q=3433 k=1 g=5 h=6 R20=23157952509618902078
APRCL main test (6 125) done: p=13 q=3511 k=1 g=7 h=4 R20=23830648002056502801
APRCL main test (6 126) done: p=13 q=5851 k=1 g=2 h=11 R20=336858883473950051
APRCL main test (6 127) done: p=13 q=6007 k=1 g=3 h=1 R20=56891547124031451200
APRCL main test (6 128) done: p=13 q=6553 k=1 g=10 h=11 R20=69088785953712533951
APRCL main test (6 129) done: p=13 q=7151 k=1 g=7 h=7 R20=68743499955953824999
APRCL main test (6 130) done: p=13 q=7723 k=1 g=3 h=7 R20=13367218837286571608
APRCL main test (6 131) done: p=13 q=8009 k=1 g=3 h=10 R20=57490753546025887871
APRCL main test (6 132) done: p=13 q=8191 k=1 g=17 h=4 R20=58676797196129283646
APRCL main test (6 133) done: p=13 q=8581 k=1 g=6 h=4 R20=61556339384705429526
APRCL main test (6 134) done: p=13 q=8737 k=1 g=5 h=9 R20=39856259279720824051
APRCL tests for p=13 completed
Main divisor test: F1=0.0025 F2=0.0082 G=0.5015 S=0.4908 T=21621600
G=344233616507477779972508716870123812858082952043766347885588257755947968821761489067946371683375697427948629471957273896069103774192008961461243560875866620385153415700431425557878753548533226147427963827126229387749861298610182799082998655152707400571371764754940642683174998792403923780782062814073087739916731516986584085066658120244194123017149077161318966977103170792076959138339416050630831590386888125997234905915978500
Parameters saved: 4 21621600 14093518 0 0 7 1801
Main divisor test passed: 21621600/21621600
*** N is prime!
Time: 13567 sec

(37*10^1893-73)/99

== BPI:B262E0220D31E ============================================

TITANIX 2.1.0 - Primality Certificate

Started 07.06.2001 at 06:58:05 PM
Running time 63h 54mn 58s

Candidate certified prime

=================================================================

Proved prime with Titanix by Hans Rosenthal.
The zipped file "373_946.zip" is 352 KB.
When unpacked the file "Titanix-B262E0220D31E-001.out" is 823 KB
and is available on demand by simple email request.

(37*10^2883-73)/99

== BPI:B261C02D0493E ============================================

TITANIX 2.1.0 - Primality Certificate

Started 06.16.2001 at 01:06:44 PM
Running time 362h 26mn 1s

Candidate certified prime

=================================================================

This SUPP was first proved prime by Landon Curt Noll in 1997
and the proof was verified with Titanix by Hans Rosenthal.
The zipped file "373_1441.zip" is 754 KB.
When unpacked the file "Titanix-B261C02D0493E-001.out" is 1742 KB
and is available on demand by simple email request.

(37*10^9591-73)/99

By Hans Rosenthal

PFGW 1.1 test for probable primality in bases
3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61 and 251

(37*10^9591-73)/99 is 3-PRP! (19.120000 seconds)
(37*10^9591-73)/99 is 5-PRP! (19.120000 seconds)
(37*10^9591-73)/99 is 7-PRP! (19.110000 seconds)
(37*10^9591-73)/99 is 11-PRP! (19.170000 seconds)
(37*10^9591-73)/99 is 13-PRP! (19.110000 seconds)
(37*10^9591-73)/99 is 17-PRP! (19.160000 seconds)
(37*10^9591-73)/99 is 19-PRP! (19.110000 seconds)
(37*10^9591-73)/99 is 23-PRP! (19.170000 seconds)
(37*10^9591-73)/99 is 29-PRP! (19.170000 seconds)
(37*10^9591-73)/99 is 31-PRP! (19.120000 seconds)
(37*10^9591-73)/99 is 37-PRP! (19.120000 seconds)
(37*10^9591-73)/99 is 41-PRP! (19.110000 seconds)
(37*10^9591-73)/99 is 43-PRP! (19.110000 seconds)
(37*10^9591-73)/99 is 47-PRP! (19.170000 seconds)
(37*10^9591-73)/99 is 53-PRP! (19.110000 seconds)
(37*10^9591-73)/99 is 59-PRP! (19.110000 seconds)
(37*10^9591-73)/99 is 61-PRP! (19.110000 seconds)
(37*10^9591-73)/99 is 251-PRP! (19.120000 seconds)

(37*10^14691-73)/99

By Hans Rosenthal

PFGW 1.1 test for probable primality in bases
3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61 and 251

(37*10^14691-73)/99 is 3-PRP! (54.760000 seconds)
(37*10^14691-73)/99 is 5-PRP! (54.810000 seconds)
(37*10^14691-73)/99 is 7-PRP! (54.820000 seconds)
(37*10^14691-73)/99 is 11-PRP! (54.710000 seconds)
(37*10^14691-73)/99 is 13-PRP! (54.760000 seconds)
(37*10^14691-73)/99 is 17-PRP! (54.710000 seconds)
(37*10^14691-73)/99 is 19-PRP! (54.760000 seconds)
(37*10^14691-73)/99 is 23-PRP! (54.820000 seconds)
(37*10^14691-73)/99 is 29-PRP! (54.980000 seconds)
(37*10^14691-73)/99 is 31-PRP! (54.710000 seconds)
(37*10^14691-73)/99 is 37-PRP! (54.760000 seconds)
(37*10^14691-73)/99 is 41-PRP! (55.090000 seconds)
(37*10^14691-73)/99 is 43-PRP! (54.710000 seconds)
(37*10^14691-73)/99 is 47-PRP! (54.820000 seconds)
(37*10^14691-73)/99 is 53-PRP! (54.710000 seconds)
(37*10^14691-73)/99 is 59-PRP! (54.760000 seconds)
(37*10^14691-73)/99 is 61-PRP! (54.710000 seconds)
(37*10^14691-73)/99 is 251-PRP! (54.710000 seconds)

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Patrick De Geest - Belgium

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