Smoothly Undulating Palindromic Primes

(92*10^3-29)/99

*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(92*10^3-29)/99
N=929
*** N is prime!
Time: 0 sec

(92*10^9-29)/99

*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(92*10^9-29)/99
N=929292929
*** N is prime!
Time: 0 sec

(92*10^195-29)/99


*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(92*10^195-29)/99
N=929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929
Factor: 2^7 divides N - 1
Factor: 2 divides N + 1
Factor: 3 divides N + 1
Factor: 5 divides N + 1
Factor: 19 divides N - 1
Factorization results: F1=0.0174 F2=0.0076
F1=2432
F2=30
Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=29292929292929292927
Pass: 3^(N-1) = 1 (mod N): R20=1
Pass: gcd(U{(N+1)/2}, N) = 1: d=13 p=1 q=-3 R20=89743676673373509280
Pass: U{N+1} = 0 (mod N): d=13 p=1 q=-3 R20=0
Fail: gcd(U{(N+1)/3}, N) not = 1: d=13 p=1 q=-3 R20=0
Pass: gcd(U{(N+1)/3}, N) = 1: d=13 p=3 q=-1 R20=34421090956242538289
Pass: U{N+1} = 0 (mod N): d=13 p=3 q=-1 R20=0
Fail: gcd(U{(N+1)/5}, N) not = 1: d=13 p=3 q=-1 R20=0
Pass: gcd(U{(N+1)/5}, N) = 1: d=13 p=5 q=3 R20=9497110076144846365
Pass: U{N+1} = 0 (mod N): d=13 p=5 q=3 R20=0
Pass: gcd(3^((N-1)/19) - 1, N) = 1: R20=4783161244221222170
BLS tests passed: F1=0.0174 F2=0.0076
APRCL test
T=166320
S=68207607452309090042275580727323826897353075129219674163709012168576840798649463135311712364863
APRCL main test (1) at level 8 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=29292929292929292928
APRCL main test (1 3) for p=2 q=5 not needed
APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=1 R20=29292929292929292928
APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=3 R20=0
APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=1 R20=29292929292929292928
APRCL main test (1 7) done: p=2 q=31 k=1 g=3 h=1 R20=29292929292929292928
APRCL main test (1 8) done: p=2 q=61 k=2 g=2 h=3 R20=0
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=29292929292929292927
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=0 R20=1
APRCL main test (1 14) done: p=2 q=71 k=1 g=7 h=0 R20=1
APRCL main test (1 15) done: p=2 q=127 k=1 g=3 h=0 R20=1
APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=1 R20=29292929292929292928
APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=3 R20=0
APRCL main test (1 18) done: p=2 q=631 k=1 g=3 h=1 R20=29292929292929292928
APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=4 R20=29292929292929292925
APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=1 R20=0
APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=2 R20=0
APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=4 R20=29292929292929292925
APRCL main test (1 23) done: p=2 q=17 k=4 g=3 h=7 R20=0
APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=11 R20=0
APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=5 R20=0
APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=7 R20=0
APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=2 R20=0
APRCL main test (1 28) done: p=2 q=109 k=2 g=6 h=0 R20=2
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=1 R20=29292929292929292928
APRCL main test (1 31) done: p=2 q=433 k=4 g=5 h=11 R20=0
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=2 R20=29292929292929292927
APRCL main test (1 34) done: p=2 q=2161 k=4 g=23 h=8 R20=29292929292929292921
APRCL main test (1 35) done: p=2 q=7561 k=3 g=13 h=1 R20=0
APRCL main test (1 36) done: p=2 q=15121 k=4 g=11 h=8 R20=29292929292929292921
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=29292929292929292928
APRCL main test (1 39) done: p=2 q=89 k=3 g=3 h=4 R20=29292929292929292925
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=0 R20=2
APRCL main test (1 43) done: p=2 q=463 k=1 g=3 h=1 R20=29292929292929292928
APRCL main test (1 44) done: p=2 q=617 k=3 g=3 h=3 R20=0
APRCL main test (1 45) done: p=2 q=661 k=2 g=2 h=3 R20=0
APRCL tests for p=2 completed
APRCL main test (2) at level 8 for p=3
APRCL L_3 condition satisfied
APRCL main test (2 4) done: p=3 q=7 k=1 g=3 h=1 R20=31024531024531024532
APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=1 R20=14840714840714840715
APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=1 R20=89312479635060280221
APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=1 R20=54860076171551581388
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=4 R20=13226942244378149554
APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=8 R20=47364759816501946179
APRCL main test (2 13) done: p=3 q=43 k=1 g=3 h=0 R20=65821000704721634954
APRCL main test (2 15) done: p=3 q=127 k=2 g=3 h=2 R20=47500671712829272317
APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=2 R20=97304801570204413806
APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=1 R20=31711413421627198349
APRCL main test (2 18) done: p=3 q=631 k=2 g=3 h=4 R20=8254061825493478712
APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=7 R20=1958207040275022401
APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=1 R20=2694529441838201767
APRCL main test (2 25) done: p=3 q=241 k=1 g=7 h=0 R20=28316358606815038350
APRCL main test (2 26) done: p=3 q=337 k=1 g=10 h=2 R20=25872973053981956059
APRCL main test (2 27) done: p=3 q=1009 k=2 g=11 h=6 R20=98829997689045388747
APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=5 R20=80358024225318454395
APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=24 R20=17736059509532979226
APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=1 R20=21345244446730914244
APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=12 R20=98654958737506917375
APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=5 R20=97608787001990631036
APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=13 R20=43880205458328036722
APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=25 R20=36792841940247410522
APRCL main test (2 35) done: p=3 q=7561 k=3 g=13 h=12 R20=67869247462313587249
APRCL main test (2 36) done: p=3 q=15121 k=3 g=11 h=7 R20=53829123827724939316
APRCL main test (2 38) done: p=3 q=67 k=1 g=2 h=0 R20=301522689582391075
APRCL main test (2 40) done: p=3 q=199 k=2 g=3 h=0 R20=4847712067065505084
APRCL main test (2 41) done: p=3 q=331 k=1 g=3 h=2 R20=27037749092129756782
APRCL main test (2 42) done: p=3 q=397 k=2 g=5 h=1 R20=7099032078928224625
APRCL main test (2 43) done: p=3 q=463 k=1 g=3 h=0 R20=26875668128367912385
APRCL main test (2 45) done: p=3 q=661 k=1 g=2 h=1 R20=64728984244869267562
APRCL tests for p=3 completed
APRCL main test (3) at level 8 for p=5
APRCL L_5 condition satisfied
APRCL main test (3 6) done: p=5 q=11 k=1 g=2 h=4 R20=3527466580164172852
APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=0 R20=84313599933102586185
APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=0 R20=95459384925769884517
APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=1 R20=20158652484963653034
APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=1 R20=29322326311444132308
APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=1 R20=39202686126031564014
APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=0 R20=9880426446814540145
APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=1 R20=44068864509107847578
APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=1 R20=15227365518415541711
APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=4 R20=1192745747835162710
APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=4 R20=10173591687680388375
APRCL main test (3 25) done: p=5 q=241 k=1 g=7 h=1 R20=87751778294874904265
APRCL main test (3 29) done: p=5 q=271 k=1 g=6 h=4 R20=94240904413156276949
APRCL main test (3 32) done: p=5 q=541 k=1 g=2 h=4 R20=75080184507886348390
APRCL main test (3 34) done: p=5 q=2161 k=1 g=23 h=2 R20=31574836012511867077
APRCL main test (3 35) done: p=5 q=7561 k=1 g=13 h=4 R20=30191030389367482922
APRCL main test (3 36) done: p=5 q=15121 k=1 g=11 h=0 R20=59552425109327867832
APRCL main test (3 41) done: p=5 q=331 k=1 g=3 h=2 R20=36135468648269555440
APRCL main test (3 45) done: p=5 q=661 k=1 g=2 h=1 R20=28801203408734101815
APRCL tests for p=5 completed
APRCL main test (4) at level 8 for p=7
APRCL L_7 condition satisfied
APRCL main test (4 12) done: p=7 q=29 k=1 g=2 h=6 R20=79252515803639745924
APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=5 R20=72804441311752023037
APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=6 R20=67231600154619088563
APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=3 R20=68411143231586083549
APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=6 R20=33192255008565156540
APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=2 R20=54004339101494153569
APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=1 R20=51696682471220179353
APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=3 R20=1013725646842146832
APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=1 R20=63523845728532041479
APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=2 R20=52876763806452698794
APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=2 R20=18891449350703936672
APRCL main test (4 27) done: p=7 q=1009 k=1 g=11 h=5 R20=77942778794305629331
APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=1 R20=15373493658146364195
APRCL main test (4 33) done: p=7 q=757 k=1 g=2 h=3 R20=17602572849037453558
APRCL main test (4 35) done: p=7 q=7561 k=1 g=13 h=3 R20=2870300385302283629
APRCL main test (4 36) done: p=7 q=15121 k=1 g=11 h=6 R20=35458469162984803811
APRCL main test (4 43) done: p=7 q=463 k=1 g=3 h=3 R20=17468744633933441784
APRCL main test (4 44) done: p=7 q=617 k=1 g=3 h=0 R20=59916359329466239871
APRCL tests for p=7 completed
APRCL main test (5) at level 8 for p=11
APRCL L_11 condition satisfied
APRCL main test (5 37) done: p=11 q=23 k=1 g=5 h=5 R20=98824274904041808755
APRCL main test (5 38) done: p=11 q=67 k=1 g=2 h=8 R20=6893214083622712893
APRCL main test (5 39) done: p=11 q=89 k=1 g=3 h=2 R20=58092491714601098212
APRCL main test (5 40) done: p=11 q=199 k=1 g=3 h=8 R20=2267287044185029541
APRCL main test (5 41) done: p=11 q=331 k=1 g=3 h=9 R20=90600577451959134822
APRCL main test (5 42) done: p=11 q=397 k=1 g=5 h=0 R20=50935769322269820673
APRCL main test (5 43) done: p=11 q=463 k=1 g=3 h=9 R20=82873549831311968468
APRCL main test (5 44) done: p=11 q=617 k=1 g=3 h=2 R20=51308420978251884023
APRCL main test (5 45) done: p=11 q=661 k=1 g=2 h=10 R20=32596543551860737287
APRCL tests for p=11 completed
Main divisor test: F1=0.0174 F2=0.0060 G=0.5098 S=0.4864 T=166320
G=2488213519860235604742213184932773205215440180713933713492104763909683152334732415176171267070202240
Main divisor test passed: 166320/166320
*** N is prime!
Time: 40 sec

(92*10^515-29)/99


*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(92*10^515-29)/99
N=92929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929
Factor: 2^7 divides N - 1
Factor: 2 divides N + 1
Factor: 3^2 divides N - 1
Factor: 5 divides N + 1
Factor: 47^2 divides N + 1
Factor: 19121 divides N - 1
Factorization results: F1=0.0143 F2=0.0084
F1=22027392
F2=22090
Pass: gcd(13^((N-1)/2) - 1, N) = 1: R20=29292929292929292927
Pass: 13^(N-1) = 1 (mod N): R20=1
Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=1 q=-3 R20=0
Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=3 q=-1 R20=0
Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=5 q=3 R20=0
Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=7 q=9 R20=0
Pass: gcd(U{(N+1)/2}, N) = 1: d=13 p=9 q=17 R20=32649177044823768197
Pass: U{N+1} = 0 (mod N): d=13 p=9 q=17 R20=0
Fail: gcd(13^((N-1)/3) - 1, N) not = 1: R20=0
Pass: gcd(17^((N-1)/3) - 1, N) = 1: R20=46294391982361315879
Pass: 17^(N-1) = 1 (mod N): R20=1
Fail: gcd(U{(N+1)/5}, N) not = 1: d=13 p=9 q=17 R20=0
Pass: gcd(U{(N+1)/5}, N) = 1: d=13 p=11 q=27 R20=55989758892398577537
Pass: U{N+1} = 0 (mod N): d=13 p=11 q=27 R20=0
Pass: gcd(U{(N+1)/47}, N) = 1: d=13 p=11 q=27 R20=96487034147605973619
Pass: gcd(17^((N-1)/19121) - 1, N) = 1: R20=34462813351926074452
BLS tests passed: F1=0.0143 F2=0.0084
APRCL test
T=1663200
S=2191460498146035897335899076634537836144945743989615462977414000870295236787162155427402372308626747679155796413874205827111567147043940938079653583714729286588744143024675952990217421328946221450749635422046566373204868738260086272172533378363908689
APRCL main test (1) at level 10 for p=2
APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=0 R20=1
APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=2 R20=29292929292929292927
APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=0 R20=1
APRCL L_2 condition satisfied
APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=3 R20=0
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=29292929292929292928
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=1 R20=0
APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=3 R20=0
APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=0 R20=2
APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=1 R20=29292929292929292928
APRCL main test (1 14) done: p=2 q=71 k=1 g=7 h=1 R20=29292929292929292928
APRCL main test (1 15) done: p=2 q=127 k=1 g=3 h=0 R20=1
APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=1 R20=29292929292929292928
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=0 R20=1
APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=4 R20=29292929292929292925
APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=1 R20=0
APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=1 R20=0
APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=2 R20=0
APRCL main test (1 23) done: p=2 q=17 k=4 g=3 h=7 R20=0
APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=13 R20=0
APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=4 R20=0
APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=0 R20=8
APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=7 R20=0
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=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=0
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=3 R20=0
APRCL main test (1 34) done: p=2 q=2161 k=4 g=23 h=0 R20=8
APRCL main test (1 35) done: p=2 q=7561 k=3 g=13 h=2 R20=0
APRCL main test (1 36) done: p=2 q=15121 k=4 g=11 h=6 R20=0
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=29292929292929292928
APRCL main test (1 39) done: p=2 q=89 k=3 g=3 h=2 R20=0
APRCL main test (1 40) done: p=2 q=199 k=1 g=3 h=1 R20=29292929292929292928
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=2 R20=29292929292929292927
APRCL main test (1 43) done: p=2 q=463 k=1 g=3 h=1 R20=29292929292929292928
APRCL main test (1 44) done: p=2 q=617 k=3 g=3 h=2 R20=0
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=6 R20=0
APRCL main test (1 47) done: p=2 q=991 k=1 g=6 h=1 R20=29292929292929292928
APRCL main test (1 48) done: p=2 q=1321 k=3 g=13 h=5 R20=0
APRCL main test (1 49) done: p=2 q=2311 k=1 g=3 h=1 R20=29292929292929292928
APRCL main test (1 50) done: p=2 q=2377 k=3 g=5 h=4 R20=29292929292929292925
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=10 R20=0
APRCL main test (1 53) done: p=2 q=4159 k=1 g=3 h=1 R20=29292929292929292928
APRCL main test (1 54) done: p=2 q=4621 k=2 g=2 h=2 R20=29292929292929292927
APRCL main test (1 55) done: p=2 q=8317 k=2 g=6 h=0 R20=2
APRCL main test (1 56) done: p=2 q=9241 k=3 g=13 h=0 R20=4
APRCL main test (1 57) done: p=2 q=16633 k=3 g=15 h=1 R20=0
APRCL main test (1 58) done: p=2 q=18481 k=4 g=13 h=13 R20=0
APRCL main test (1 59) done: p=2 q=23761 k=4 g=7 h=0 R20=8
APRCL main test (1 60) done: p=2 q=101 k=2 g=2 h=2 R20=29292929292929292927
APRCL main test (1 61) done: p=2 q=151 k=1 g=6 h=0 R20=1
APRCL main test (1 62) done: p=2 q=401 k=4 g=3 h=3 R20=0
APRCL main test (1 63) done: p=2 q=601 k=3 g=7 h=0 R20=4
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=1 R20=29292929292929292928
APRCL main test (1 66) done: p=2 q=1201 k=4 g=11 h=13 R20=0
APRCL main test (1 67) done: p=2 q=1801 k=3 g=11 h=6 R20=0
APRCL main test (1 68) done: p=2 q=2801 k=4 g=3 h=13 R20=0
APRCL main test (1 69) done: p=2 q=3301 k=2 g=6 h=0 R20=2
APRCL main test (1 70) done: p=2 q=3851 k=1 g=2 h=1 R20=29292929292929292928
APRCL main test (1 71) done: p=2 q=4201 k=3 g=11 h=3 R20=0
APRCL main test (1 72) done: p=2 q=4951 k=1 g=6 h=0 R20=1
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=2 R20=29292929292929292927
APRCL main test (1 75) done: p=2 q=11551 k=1 g=7 h=1 R20=29292929292929292928
APRCL main test (1 76) done: p=2 q=12601 k=3 g=11 h=5 R20=0
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=0 R20=4
APRCL main test (1 79) done: p=2 q=19801 k=3 g=13 h=6 R20=0
APRCL main test (1 80) done: p=2 q=97 k=5 g=5 h=30 R20=0
APRCL main test (1 81) done: p=2 q=353 k=5 g=3 h=10 R20=0
APRCL main test (1 82) done: p=2 q=673 k=5 g=5 h=15 R20=0
APRCL main test (1 83) done: p=2 q=2017 k=5 g=5 h=11 R20=0
APRCL main test (1 84) done: p=2 q=3169 k=5 g=7 h=20 R20=0
APRCL main test (1 85) done: p=2 q=3361 k=5 g=22 h=19 R20=0
APRCL main test (1 86) done: p=2 q=5281 k=5 g=7 h=26 R20=0
APRCL main test (1 87) done: p=2 q=7393 k=5 g=5 h=7 R20=0
APRCL main test (1 88) done: p=2 q=21601 k=5 g=7 h=13 R20=0
APRCL main test (1 89) done: p=2 q=30241 k=5 g=11 h=30 R20=0
APRCL tests for p=2 completed
APRCL main test (2) at level 10 for p=3
APRCL L_3 condition satisfied
APRCL main test (2 4) done: p=3 q=7 k=1 g=3 h=1 R20=1
APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=0 R20=2
APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=2 R20=29292929292929292926
APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=0 R20=2
APRCL main test (2 9) done: p=3 q=19 k=2 g=2 h=2 R20=0
APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=7 R20=0
APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=3 R20=1
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=0
APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=0 R20=2
APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=2 R20=29292929292929292926
APRCL main test (2 18) done: p=3 q=631 k=2 g=3 h=2 R20=0
APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=5 R20=0
APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=7 R20=0
APRCL main test (2 25) done: p=3 q=241 k=1 g=7 h=2 R20=29292929292929292926
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=0 R20=6
APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=17 R20=67352385579159522870
APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=21 R20=89164183383442114378
APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=12 R20=29359130209875570769
APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=7 R20=84520352560343316012
APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=10 R20=58685436420291199494
APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=22 R20=3527449400044557970
APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=12 R20=90397409968747926487
APRCL main test (2 35) done: p=3 q=7561 k=3 g=13 h=8 R20=14651720872391987595
APRCL main test (2 36) done: p=3 q=15121 k=3 g=11 h=6 R20=84904276305362177296
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=7 R20=0
APRCL main test (2 41) done: p=3 q=331 k=1 g=3 h=2 R20=29292929292929292926
APRCL main test (2 42) done: p=3 q=397 k=2 g=5 h=1 R20=0
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=29292929292929292926
APRCL main test (2 47) done: p=3 q=991 k=2 g=6 h=2 R20=0
APRCL main test (2 48) done: p=3 q=1321 k=1 g=13 h=2 R20=29292929292929292926
APRCL main test (2 49) done: p=3 q=2311 k=1 g=3 h=1 R20=1
APRCL main test (2 50) done: p=3 q=2377 k=3 g=5 h=19 R20=3619787484192680278
APRCL main test (2 51) done: p=3 q=2971 k=3 g=10 h=13 R20=64829080557369278161
APRCL main test (2 52) done: p=3 q=3697 k=1 g=5 h=0 R20=2
APRCL main test (2 53) done: p=3 q=4159 k=3 g=3 h=21 R20=20940561442474878412
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=0 R20=42806056752608726441
APRCL main test (2 56) done: p=3 q=9241 k=1 g=13 h=2 R20=29292929292929292926
APRCL main test (2 57) done: p=3 q=16633 k=3 g=15 h=1 R20=39486827397688672125
APRCL main test (2 58) done: p=3 q=18481 k=1 g=13 h=1 R20=1
APRCL main test (2 59) done: p=3 q=23761 k=3 g=7 h=14 R20=6056531511959278525
APRCL main test (2 61) done: p=3 q=151 k=1 g=6 h=2 R20=29292929292929292926
APRCL main test (2 63) done: p=3 q=601 k=1 g=7 h=2 R20=29292929292929292926
APRCL main test (2 65) done: p=3 q=1051 k=1 g=7 h=1 R20=1
APRCL main test (2 66) done: p=3 q=1201 k=1 g=11 h=0 R20=2
APRCL main test (2 67) done: p=3 q=1801 k=2 g=11 h=7 R20=0
APRCL main test (2 69) done: p=3 q=3301 k=1 g=6 h=0 R20=2
APRCL main test (2 71) done: p=3 q=4201 k=1 g=11 h=1 R20=1
APRCL main test (2 72) done: p=3 q=4951 k=2 g=6 h=5 R20=0
APRCL main test (2 73) done: p=3 q=6301 k=2 g=10 h=3 R20=1
APRCL main test (2 74) done: p=3 q=9901 k=2 g=2 h=7 R20=0
APRCL main test (2 75) done: p=3 q=11551 k=1 g=7 h=2 R20=29292929292929292926
APRCL main test (2 76) done: p=3 q=12601 k=2 g=11 h=4 R20=0
APRCL main test (2 77) done: p=3 q=14851 k=3 g=2 h=24 R20=20238105164611301887
APRCL main test (2 79) done: p=3 q=19801 k=2 g=13 h=4 R20=0
APRCL main test (2 80) done: p=3 q=97 k=1 g=5 h=0 R20=2
APRCL main test (2 82) done: p=3 q=673 k=1 g=5 h=0 R20=2
APRCL main test (2 83) done: p=3 q=2017 k=2 g=5 h=0 R20=6
APRCL main test (2 84) done: p=3 q=3169 k=2 g=7 h=6 R20=29292929292929292922
APRCL main test (2 85) done: p=3 q=3361 k=1 g=22 h=1 R20=1
APRCL main test (2 86) done: p=3 q=5281 k=1 g=7 h=0 R20=2
APRCL main test (2 87) done: p=3 q=7393 k=1 g=5 h=0 R20=2
APRCL main test (2 88) done: p=3 q=21601 k=3 g=7 h=7 R20=9536386679921601452
APRCL main test (2 89) done: p=3 q=30241 k=3 g=11 h=26 R20=74061239104713373488
APRCL tests for p=3 completed
APRCL main test (3) at level 10 for p=5
APRCL L_5 condition satisfied
APRCL main test (3 6) done: p=5 q=11 k=1 g=2 h=2 R20=55623430409678244215
APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=2 R20=8843277690045098551
APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=0 R20=85510028287347412736
APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=4 R20=37850711904957284653
APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=3 R20=13544465410580573896
APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=4 R20=20916933692245048603
APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=0 R20=99747686301252198651
APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=3 R20=53081339884878153380
APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=1 R20=34309034263060029881
APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=2 R20=59771248287507702544
APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=3 R20=42239641195231859616
APRCL main test (3 25) done: p=5 q=241 k=1 g=7 h=4 R20=49878201451795916159
APRCL main test (3 29) done: p=5 q=271 k=1 g=6 h=4 R20=45563742040910191721
APRCL main test (3 32) done: p=5 q=541 k=1 g=2 h=2 R20=37692982288042036164
APRCL main test (3 34) done: p=5 q=2161 k=1 g=23 h=3 R20=95849776541561544402
APRCL main test (3 35) done: p=5 q=7561 k=1 g=13 h=1 R20=13729926474363822144
APRCL main test (3 36) done: p=5 q=15121 k=1 g=11 h=1 R20=15101294451522970343
APRCL main test (3 41) done: p=5 q=331 k=1 g=3 h=1 R20=30607414573729650443
APRCL main test (3 45) done: p=5 q=661 k=1 g=2 h=4 R20=84871197263614720426
APRCL main test (3 46) done: p=5 q=881 k=1 g=3 h=2 R20=44629422256409431171
APRCL main test (3 47) done: p=5 q=991 k=1 g=6 h=4 R20=60875077905275187438
APRCL main test (3 48) done: p=5 q=1321 k=1 g=13 h=0 R20=16377648357034059003
APRCL main test (3 49) done: p=5 q=2311 k=1 g=3 h=3 R20=96680671933928644379
APRCL main test (3 51) done: p=5 q=2971 k=1 g=10 h=2 R20=55315959737014598952
APRCL main test (3 54) done: p=5 q=4621 k=1 g=2 h=0 R20=8204971358979016026
APRCL main test (3 56) done: p=5 q=9241 k=1 g=13 h=2 R20=99036871579062178413
APRCL main test (3 58) done: p=5 q=18481 k=1 g=13 h=1 R20=77964568913823060491
APRCL main test (3 59) done: p=5 q=23761 k=1 g=7 h=2 R20=89700262955636236294
APRCL main test (3 60) done: p=5 q=101 k=2 g=2 h=6 R20=27932829069789104723
APRCL main test (3 61) done: p=5 q=151 k=2 g=6 h=17 R20=74676659319164207422
APRCL main test (3 62) done: p=5 q=401 k=2 g=3 h=22 R20=9530109670723723584
APRCL main test (3 63) done: p=5 q=601 k=2 g=7 h=15 R20=84801429394803772370
APRCL main test (3 64) done: p=5 q=701 k=2 g=2 h=13 R20=5655627433788505326
APRCL main test (3 65) done: p=5 q=1051 k=2 g=7 h=18 R20=29594093910544252425
APRCL main test (3 66) done: p=5 q=1201 k=2 g=11 h=20 R20=43950962352873957568
APRCL main test (3 67) done: p=5 q=1801 k=2 g=11 h=2 R20=33165485121810453015
APRCL main test (3 68) done: p=5 q=2801 k=2 g=3 h=5 R20=88870305955444763928
APRCL main test (3 69) done: p=5 q=3301 k=2 g=6 h=4 R20=43578039530442572384
APRCL main test (3 70) done: p=5 q=3851 k=2 g=2 h=23 R20=88529027023163179023
APRCL main test (3 71) done: p=5 q=4201 k=2 g=11 h=19 R20=43444558438051304955
APRCL main test (3 72) done: p=5 q=4951 k=2 g=6 h=5 R20=13162511809405254519
APRCL main test (3 73) done: p=5 q=6301 k=2 g=10 h=23 R20=1769318465772825801
APRCL main test (3 74) done: p=5 q=9901 k=2 g=2 h=6 R20=14696588282908834922
APRCL main test (3 75) done: p=5 q=11551 k=2 g=7 h=23 R20=80911022938408423824
APRCL main test (3 76) done: p=5 q=12601 k=2 g=11 h=4 R20=28688701375463321583
APRCL main test (3 77) done: p=5 q=14851 k=2 g=2 h=24 R20=77220762901927453645
APRCL main test (3 78) done: p=5 q=15401 k=2 g=6 h=17 R20=65774004991529774594
APRCL main test (3 79) done: p=5 q=19801 k=2 g=13 h=19 R20=70661210983740807864
APRCL main test (3 85) done: p=5 q=3361 k=1 g=22 h=2 R20=30735934301617467159
APRCL main test (3 86) done: p=5 q=5281 k=1 g=7 h=3 R20=21429844986957350311
APRCL main test (3 88) done: p=5 q=21601 k=2 g=7 h=12 R20=19816015835039796784
APRCL main test (3 89) done: p=5 q=30241 k=1 g=11 h=1 R20=90449787042637551111
APRCL tests for p=5 completed
APRCL main test (4) at level 10 for p=7
APRCL L_7 condition satisfied
APRCL main test (4 12) done: p=7 q=29 k=1 g=2 h=3 R20=42142819427527625953
APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=6 R20=87657425562114090760
APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=3 R20=29853298462805155446
APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=5 R20=18067995218704908728
APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=5 R20=97217881730824290905
APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=0 R20=91276556015340538521
APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=4 R20=62133972412406911519
APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=0 R20=48109092200892579264
APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=6 R20=40216996216111554081
APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=0 R20=19373800349099293335
APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=3 R20=11192018106519634197
APRCL main test (4 27) done: p=7 q=1009 k=1 g=11 h=2 R20=96574901478172883612
APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=0 R20=89955671163660628883
APRCL main test (4 33) done: p=7 q=757 k=1 g=2 h=2 R20=32989215026136237306
APRCL main test (4 35) done: p=7 q=7561 k=1 g=13 h=5 R20=36787218056662814737
APRCL main test (4 36) done: p=7 q=15121 k=1 g=11 h=5 R20=83514683463270903531
APRCL main test (4 43) done: p=7 q=463 k=1 g=3 h=6 R20=35640039576178274842
APRCL main test (4 44) done: p=7 q=617 k=1 g=3 h=0 R20=99021939792245607769
APRCL main test (4 49) done: p=7 q=2311 k=1 g=3 h=0 R20=66291839463304830374
APRCL main test (4 52) done: p=7 q=3697 k=1 g=5 h=1 R20=31131861774012516053
APRCL main test (4 53) done: p=7 q=4159 k=1 g=3 h=3 R20=81061178241759476650
APRCL main test (4 54) done: p=7 q=4621 k=1 g=2 h=0 R20=25989018319003720045
APRCL main test (4 55) done: p=7 q=8317 k=1 g=6 h=4 R20=38406437636797918865
APRCL main test (4 56) done: p=7 q=9241 k=1 g=13 h=5 R20=12741714370194913995
APRCL main test (4 57) done: p=7 q=16633 k=1 g=15 h=2 R20=37181777844060294055
APRCL main test (4 58) done: p=7 q=18481 k=1 g=13 h=3 R20=24609866924592007944
APRCL main test (4 64) done: p=7 q=701 k=1 g=2 h=5 R20=21042188244018134887
APRCL main test (4 65) done: p=7 q=1051 k=1 g=7 h=3 R20=43533690223470077859
APRCL main test (4 68) done: p=7 q=2801 k=1 g=3 h=1 R20=82677958004113964522
APRCL main test (4 70) done: p=7 q=3851 k=1 g=2 h=3 R20=92485957096171539981
APRCL main test (4 71) done: p=7 q=4201 k=1 g=11 h=4 R20=82775153369029372860
APRCL main test (4 73) done: p=7 q=6301 k=1 g=10 h=4 R20=78075530008966185694
APRCL main test (4 75) done: p=7 q=11551 k=1 g=7 h=4 R20=48674104261521169084
APRCL main test (4 76) done: p=7 q=12601 k=1 g=11 h=4 R20=46274644566372634320
APRCL main test (4 78) done: p=7 q=15401 k=1 g=6 h=2 R20=97457233229169820111
APRCL main test (4 82) done: p=7 q=673 k=1 g=5 h=2 R20=17092870097181634140
APRCL main test (4 83) done: p=7 q=2017 k=1 g=5 h=1 R20=81604184167444911251
APRCL main test (4 85) done: p=7 q=3361 k=1 g=22 h=6 R20=46444416094927881536
APRCL main test (4 87) done: p=7 q=7393 k=1 g=5 h=4 R20=88188387669983932780
APRCL main test (4 89) done: p=7 q=30241 k=1 g=11 h=5 R20=48959446491348515551
APRCL tests for p=7 completed
APRCL main test (5) at level 10 for p=11
APRCL L_11 condition satisfied
APRCL main test (5 37) done: p=11 q=23 k=1 g=5 h=7 R20=25369477114994961680
APRCL main test (5 38) done: p=11 q=67 k=1 g=2 h=4 R20=74754099889704924062
APRCL main test (5 39) done: p=11 q=89 k=1 g=3 h=10 R20=40673725487815399952
APRCL main test (5 40) done: p=11 q=199 k=1 g=3 h=8 R20=80020640816985635679
APRCL main test (5 41) done: p=11 q=331 k=1 g=3 h=9 R20=57374934905968416519
APRCL main test (5 42) done: p=11 q=397 k=1 g=5 h=3 R20=91353068742465506364
APRCL main test (5 43) done: p=11 q=463 k=1 g=3 h=5 R20=17565038069585943485
APRCL main test (5 44) done: p=11 q=617 k=1 g=3 h=7 R20=86711337977015520147
APRCL main test (5 45) done: p=11 q=661 k=1 g=2 h=10 R20=13320085653872877062
APRCL main test (5 46) done: p=11 q=881 k=1 g=3 h=0 R20=97384407246497756265
APRCL main test (5 47) done: p=11 q=991 k=1 g=6 h=0 R20=81438563890857234364
APRCL main test (5 48) done: p=11 q=1321 k=1 g=13 h=2 R20=286287382699439872
APRCL main test (5 49) done: p=11 q=2311 k=1 g=3 h=2 R20=87528912341154180458
APRCL main test (5 50) done: p=11 q=2377 k=1 g=5 h=3 R20=54844225647469754977
APRCL main test (5 51) done: p=11 q=2971 k=1 g=10 h=5 R20=39745039643630777676
APRCL main test (5 52) done: p=11 q=3697 k=1 g=5 h=9 R20=13525239650067194053
APRCL main test (5 53) done: p=11 q=4159 k=1 g=3 h=6 R20=4095403923914252237
APRCL main test (5 54) done: p=11 q=4621 k=1 g=2 h=2 R20=8324528046122055363
APRCL main test (5 55) done: p=11 q=8317 k=1 g=6 h=4 R20=52799284387815446244
APRCL main test (5 56) done: p=11 q=9241 k=1 g=13 h=1 R20=32249201433309798670
APRCL main test (5 57) done: p=11 q=16633 k=1 g=15 h=6 R20=66867681755814836130
APRCL main test (5 58) done: p=11 q=18481 k=1 g=13 h=4 R20=87082556439578355617
APRCL main test (5 59) done: p=11 q=23761 k=1 g=7 h=8 R20=51185429435716491637
APRCL main test (5 69) done: p=11 q=3301 k=1 g=6 h=10 R20=43931238944754141781
APRCL main test (5 70) done: p=11 q=3851 k=1 g=2 h=1 R20=57633830396270788362
APRCL main test (5 72) done: p=11 q=4951 k=1 g=6 h=6 R20=97882312868633735044
APRCL main test (5 74) done: p=11 q=9901 k=1 g=2 h=4 R20=35973286472911302551
APRCL main test (5 75) done: p=11 q=11551 k=1 g=7 h=1 R20=26457706368052965880
APRCL main test (5 77) done: p=11 q=14851 k=1 g=2 h=2 R20=49981077769572274680
APRCL main test (5 78) done: p=11 q=15401 k=1 g=6 h=3 R20=22855628168124410920
APRCL main test (5 79) done: p=11 q=19801 k=1 g=13 h=5 R20=28449894412546961814
APRCL main test (5 81) done: p=11 q=353 k=1 g=3 h=6 R20=39457167186866777368
APRCL main test (5 84) done: p=11 q=3169 k=1 g=7 h=1 R20=55825104039895634235
APRCL main test (5 86) done: p=11 q=5281 k=1 g=7 h=6 R20=25462966378949513241
APRCL main test (5 87) done: p=11 q=7393 k=1 g=5 h=2 R20=53077209287593662975
APRCL tests for p=11 completed
Main divisor test: F1=0.0143 F2=0.0079 G=0.5063 S=0.4842 T=1663200
G=533166001071991075791636683176643077466063217929971531722866763118497302746020018878239909944138472866829027996537242136537089072382545444719267595391651751982907387738369518914407013461978336706465831237381989489511668427368482515302787266737491264883416376960
Parameters saved: 4 1663200 868952 0 0 1 1801
Main divisor test passed: 1663200/1663200
*** N is prime!
Time: 1837 sec

(92*10^857-29)/99


*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(92*10^857-29)/99
N=92929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929
Factor: 2^7 divides N - 1
Factor: 2 divides N + 1
Factor: 3^2 divides N - 1
Factor: 5 divides N + 1
Factor: 17 divides N + 1
Factor: 29 divides N + 1
Factor: 139 divides N + 1
Factorization results: F1=0.0036 F2=0.0068
F1=1152
F2=685270
Pass: gcd(11^((N-1)/2) - 1, N) = 1: R20=29292929292929292927
Pass: 11^(N-1) = 1 (mod N): R20=1
Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=1 q=-3 R20=0
Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=3 q=-1 R20=0
Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=5 q=3 R20=0
Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=7 q=9 R20=0
Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=9 q=17 R20=0
Fail: gcd(U{(N+1)/2}, N) not = 1: d=13 p=11 q=27 R20=0
Pass: gcd(U{(N+1)/2}, N) = 1: d=13 p=13 q=39 R20=27021756185806949428
Pass: U{N+1} = 0 (mod N): d=13 p=13 q=39 R20=0
Pass: gcd(11^((N-1)/3) - 1, N) = 1: R20=81652895903968226179
Pass: gcd(U{(N+1)/5}, N) = 1: d=13 p=13 q=39 R20=92948005851909677967
Pass: gcd(U{(N+1)/17}, N) = 1: d=13 p=13 q=39 R20=61705285498625585687
Pass: gcd(U{(N+1)/29}, N) = 1: d=13 p=13 q=39 R20=3023959349555103834
Pass: gcd(U{(N+1)/139}, N) = 1: d=13 p=13 q=39 R20=94802294985909027364
BLS tests passed: F1=0.0036 F2=0.0068
APRCL test
T=21621600
S=64972538451400603303021537426196564401305338282909156481968860092920414598520969506538112175620955567044244776752497611289366053165954949844624017074091227287996947229458176161258388434206395786390365974006408890388762166726896107025332383033381511767639218104030748432907075687138517714913069175415791903356768078425856418138974295464611814522786143605839274983976071814256841756343638274783380227504303357658014987231423
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 main test (1 3) done: p=2 q=5 k=2 g=2 h=2 R20=29292929292929292927
APRCL main test (1 4) done: p=2 q=7 k=1 g=3 h=0 R20=1
APRCL L_2 condition satisfied
APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=3 R20=0
APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=1 R20=29292929292929292928
APRCL main test (1 7) done: p=2 q=31 k=1 g=3 h=0 R20=1
APRCL main test (1 8) done: p=2 q=61 k=2 g=2 h=0 R20=2
APRCL main test (1 9) done: p=2 q=19 k=1 g=2 h=0 R20=1
APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=1 R20=0
APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=0 R20=2
APRCL main test (1 12) for p=2 q=29 not needed
APRCL main test (1 13) done: p=2 q=43 k=1 g=3 h=0 R20=1
APRCL main test (1 14) done: p=2 q=71 k=1 g=7 h=0 R20=1
APRCL main test (1 15) done: p=2 q=127 k=1 g=3 h=0 R20=1
APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=0 R20=1
APRCL 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=29292929292929292928
APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=2 R20=0
APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=4 R20=29292929292929292925
APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=2 R20=0
APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=1 R20=0
APRCL main test (1 23) for p=2 q=17 not needed
APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=12 R20=0
APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=2 R20=0
APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=12 R20=0
APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=1 R20=0
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=6 R20=0
APRCL main test (1 32) done: p=2 q=541 k=2 g=2 h=2 R20=29292929292929292927
APRCL main test (1 33) done: p=2 q=757 k=2 g=2 h=2 R20=29292929292929292927
APRCL main test (1 34) done: p=2 q=2161 k=4 g=23 h=6 R20=0
APRCL main test (1 35) done: p=2 q=7561 k=3 g=13 h=5 R20=0
APRCL main test (1 36) done: p=2 q=15121 k=4 g=11 h=9 R20=0
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=3 R20=0
APRCL main test (1 40) done: p=2 q=199 k=1 g=3 h=0 R20=1
APRCL main test (1 41) done: p=2 q=331 k=1 g=3 h=0 R20=1
APRCL main test (1 42) done: p=2 q=397 k=2 g=5 h=1 R20=0
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=0 R20=4
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=0 R20=8
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=0 R20=4
APRCL main test (1 49) done: p=2 q=2311 k=1 g=3 h=1 R20=29292929292929292928
APRCL main test (1 50) done: p=2 q=2377 k=3 g=5 h=5 R20=0
APRCL main test (1 51) done: p=2 q=2971 k=1 g=10 h=1 R20=29292929292929292928
APRCL main test (1 52) done: p=2 q=3697 k=4 g=5 h=0 R20=8
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=1 R20=0
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=6 R20=0
APRCL main test (1 57) done: p=2 q=16633 k=3 g=15 h=0 R20=4
APRCL main test (1 58) done: p=2 q=18481 k=4 g=13 h=14 R20=0
APRCL main test (1 59) done: p=2 q=23761 k=4 g=7 h=4 R20=0
APRCL main test (1 60) done: p=2 q=55441 k=4 g=38 h=1 R20=0
APRCL main test (1 61) done: p=2 q=101 k=2 g=2 h=2 R20=29292929292929292927
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=0 R20=8
APRCL main test (1 64) done: p=2 q=601 k=3 g=7 h=2 R20=0
APRCL main test (1 65) done: p=2 q=701 k=2 g=2 h=2 R20=29292929292929292927
APRCL main test (1 66) done: p=2 q=1051 k=1 g=7 h=1 R20=29292929292929292928
APRCL main test (1 67) done: p=2 q=1201 k=4 g=11 h=13 R20=0
APRCL main test (1 68) done: p=2 q=1801 k=3 g=11 h=6 R20=0
APRCL main test (1 69) done: p=2 q=2801 k=4 g=3 h=4 R20=0
APRCL main test (1 70) done: p=2 q=3301 k=2 g=6 h=3 R20=0
APRCL main test (1 71) done: p=2 q=3851 k=1 g=2 h=0 R20=1
APRCL main test (1 72) done: p=2 q=4201 k=3 g=11 h=2 R20=0
APRCL main test (1 73) done: p=2 q=4951 k=1 g=6 h=1 R20=29292929292929292928
APRCL main test (1 74) done: p=2 q=6301 k=2 g=10 h=1 R20=0
APRCL main test (1 75) done: p=2 q=9901 k=2 g=2 h=2 R20=29292929292929292927
APRCL main test (1 76) done: p=2 q=11551 k=1 g=7 h=1 R20=29292929292929292928
APRCL main test (1 77) done: p=2 q=12601 k=3 g=11 h=0 R20=4
APRCL main test (1 78) done: p=2 q=14851 k=1 g=2 h=1 R20=29292929292929292928
APRCL main test (1 79) done: p=2 q=15401 k=3 g=6 h=3 R20=0
APRCL main test (1 80) done: p=2 q=19801 k=3 g=13 h=0 R20=4
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=6 R20=0
APRCL main test (1 83) done: p=2 q=103951 k=1 g=6 h=1 R20=29292929292929292928
APRCL main test (1 84) done: p=2 q=118801 k=4 g=17 h=5 R20=0
APRCL main test (1 85) done: p=2 q=415801 k=3 g=31 h=6 R20=0
APRCL main test (1 86) done: p=2 q=97 k=5 g=5 h=25 R20=0
APRCL main test (1 87) done: p=2 q=353 k=5 g=3 h=19 R20=0
APRCL main test (1 88) done: p=2 q=673 k=5 g=5 h=23 R20=0
APRCL main test (1 89) done: p=2 q=2017 k=5 g=5 h=19 R20=0
APRCL main test (1 90) done: p=2 q=3169 k=5 g=7 h=28 R20=0
APRCL main test (1 91) done: p=2 q=3361 k=5 g=22 h=9 R20=0
APRCL main test (1 92) done: p=2 q=5281 k=5 g=7 h=27 R20=0
APRCL main test (1 93) done: p=2 q=7393 k=5 g=5 h=5 R20=0
APRCL main test (1 94) done: p=2 q=21601 k=5 g=7 h=15 R20=0
APRCL main test (1 95) done: p=2 q=30241 k=5 g=11 h=1 R20=0
APRCL main test (1 96) done: p=2 q=47521 k=5 g=17 h=8 R20=0
APRCL main test (1 97) done: p=2 q=66529 k=5 g=19 h=18 R20=0
APRCL main test (1 98) done: p=2 q=79201 k=5 g=13 h=17 R20=0
APRCL main test (1 99) done: p=2 q=110881 k=5 g=69 h=21 R20=0
APRCL main test (1 100) done: p=2 q=151201 k=5 g=17 h=17 R20=0
APRCL main test (1 101) done: p=2 q=332641 k=5 g=19 h=22 R20=0
APRCL main test (1 102) done: p=2 q=53 k=2 g=2 h=1 R20=0
APRCL main test (1 103) done: p=2 q=79 k=1 g=3 h=1 R20=29292929292929292928
APRCL main test (1 104) done: p=2 q=131 k=1 g=2 h=1 R20=29292929292929292928
APRCL main test (1 105) done: p=2 q=157 k=2 g=5 h=3 R20=0
APRCL main test (1 106) done: p=2 q=313 k=3 g=10 h=6 R20=0
APRCL main test (1 107) done: p=2 q=521 k=3 g=3 h=1 R20=0
APRCL main test (1 108) done: p=2 q=547 k=1 g=2 h=0 R20=1
APRCL main test (1 109) done: p=2 q=859 k=1 g=2 h=1 R20=29292929292929292928
APRCL main test (1 110) done: p=2 q=911 k=1 g=17 h=1 R20=29292929292929292928
APRCL main test (1 111) done: p=2 q=937 k=3 g=5 h=1 R20=0
APRCL main test (1 112) done: p=2 q=1093 k=2 g=5 h=3 R20=0
APRCL main test (1 113) done: p=2 q=1171 k=1 g=2 h=1 R20=29292929292929292928
APRCL main test (1 114) done: p=2 q=1249 k=5 g=7 h=22 R20=0
APRCL main test (1 115) done: p=2 q=1301 k=2 g=2 h=0 R20=2
APRCL main test (1 116) done: p=2 q=1873 k=4 g=10 h=0 R20=8
Parameters saved: 2 21621600 1 117 1 1 1814
APRCL main test (1 117) done: p=2 q=1951 k=1 g=3 h=0 R20=1
APRCL main test (1 118) done: p=2 q=2003 k=1 g=5 h=1 R20=29292929292929292928
APRCL main test (1 119) done: p=2 q=2081 k=5 g=3 h=23 R20=0
APRCL main test (1 120) done: p=2 q=2341 k=2 g=7 h=2 R20=29292929292929292927
APRCL main test (1 121) done: p=2 q=2731 k=1 g=3 h=0 R20=1
APRCL main test (1 122) done: p=2 q=2861 k=2 g=2 h=0 R20=2
APRCL main test (1 123) done: p=2 q=3121 k=4 g=7 h=3 R20=0
APRCL main test (1 124) done: p=2 q=3433 k=3 g=5 h=1 R20=0
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=0 R20=1
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=6 R20=0
APRCL main test (1 129) done: p=2 q=7151 k=1 g=7 h=0 R20=1
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=4 R20=29292929292929292925
APRCL main test (1 132) done: p=2 q=8191 k=1 g=17 h=1 R20=29292929292929292928
APRCL main test (1 133) done: p=2 q=8581 k=2 g=6 h=1 R20=0
APRCL main test (1 134) done: p=2 q=8737 k=5 g=5 h=17 R20=0
APRCL main test (1 135) done: p=2 q=9829 k=2 g=10 h=3 R20=0
APRCL main test (1 136) done: p=2 q=11701 k=2 g=6 h=1 R20=0
APRCL tests for p=2 completed
APRCL main test (2) at level 11 for p=3
APRCL L_3 condition satisfied
APRCL main test (2 4) done: p=3 q=7 k=1 g=3 h=1 R20=1
APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=0 R20=2
APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=1 R20=1
APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=2 R20=29292929292929292926
APRCL main test (2 9) done: p=3 q=19 k=2 g=2 h=2 R20=0
APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=7 R20=0
APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=2 R20=0
APRCL main test (2 13) done: p=3 q=43 k=1 g=3 h=0 R20=2
APRCL main test (2 15) done: p=3 q=127 k=2 g=3 h=6 R20=29292929292929292922
APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=1 R20=1
APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=2 R20=29292929292929292926
APRCL main test (2 18) done: p=3 q=631 k=2 g=3 h=5 R20=0
APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=3 R20=1
APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=7 R20=0
APRCL main test (2 25) done: p=3 q=241 k=1 g=7 h=2 R20=29292929292929292926
APRCL main test (2 26) done: p=3 q=337 k=1 g=10 h=0 R20=2
APRCL main test (2 27) done: p=3 q=1009 k=2 g=11 h=7 R20=0
APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=12 R20=84216399697383662725
APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=10 R20=65519247630910430166
APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=1 R20=98633157873904764605
APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=7 R20=11181738119624052730
APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=16 R20=51488577613220447733
APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=3 R20=86305659460863551064
APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=11 R20=14285773884505349787
APRCL main test (2 35) done: p=3 q=7561 k=3 g=13 h=7 R20=55197161801311058823
APRCL main test (2 36) done: p=3 q=15121 k=3 g=11 h=15 R20=79664613701793915814
APRCL main test (2 38) done: p=3 q=67 k=1 g=2 h=0 R20=2
APRCL main test (2 40) done: p=3 q=199 k=2 g=3 h=0 R20=6
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=3 R20=1
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=29292929292929292926
APRCL main test (2 47) done: p=3 q=991 k=2 g=6 h=6 R20=29292929292929292922
APRCL main test (2 48) done: p=3 q=1321 k=1 g=13 h=2 R20=29292929292929292926
APRCL main test (2 49) done: p=3 q=2311 k=1 g=3 h=2 R20=29292929292929292926
APRCL main test (2 50) done: p=3 q=2377 k=3 g=5 h=6 R20=42580073633901309871
APRCL main test (2 51) done: p=3 q=2971 k=3 g=10 h=12 R20=68386222073699990325
APRCL main test (2 52) done: p=3 q=3697 k=1 g=5 h=0 R20=2
APRCL main test (2 53) done: p=3 q=4159 k=3 g=3 h=16 R20=87685953796337474054
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=26 R20=67600288268485526785
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=18 R20=2953368123488024883
APRCL main test (2 58) done: p=3 q=18481 k=1 g=13 h=2 R20=29292929292929292926
APRCL main test (2 59) done: p=3 q=23761 k=3 g=7 h=19 R20=58398913110709389587
APRCL main test (2 60) done: p=3 q=55441 k=2 g=38 h=7 R20=0
APRCL main test (2 62) done: p=3 q=151 k=1 g=6 h=1 R20=1
APRCL main test (2 64) done: p=3 q=601 k=1 g=7 h=2 R20=29292929292929292926
APRCL main test (2 66) done: p=3 q=1051 k=1 g=7 h=1 R20=1
APRCL main test (2 67) done: p=3 q=1201 k=1 g=11 h=0 R20=2
APRCL main test (2 68) done: p=3 q=1801 k=2 g=11 h=0 R20=6
APRCL main test (2 70) done: p=3 q=3301 k=1 g=6 h=1 R20=1
APRCL main test (2 72) done: p=3 q=4201 k=1 g=11 h=1 R20=1
APRCL main test (2 73) done: p=3 q=4951 k=2 g=6 h=6 R20=29292929292929292922
APRCL main test (2 74) done: p=3 q=6301 k=2 g=10 h=6 R20=29292929292929292922
APRCL main test (2 75) done: p=3 q=9901 k=2 g=2 h=0 R20=6
APRCL main test (2 76) done: p=3 q=11551 k=1 g=7 h=0 R20=2
APRCL main test (2 77) done: p=3 q=12601 k=2 g=11 h=0 R20=6
APRCL main test (2 78) done: p=3 q=14851 k=3 g=2 h=1 R20=86132799383140874041
Parameters saved: 2 21621600 2 80 1 2 1887
APRCL main test (2 80) done: p=3 q=19801 k=2 g=13 h=4 R20=0
APRCL main test (2 81) done: p=3 q=34651 k=2 g=2 h=1 R20=0
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=23 R20=570344596429616459
APRCL main test (2 84) done: p=3 q=118801 k=3 g=17 h=17 R20=40285397902470984524
APRCL main test (2 85) done: p=3 q=415801 k=3 g=31 h=14 R20=3202530059375044947
APRCL main test (2 86) done: p=3 q=97 k=1 g=5 h=0 R20=2
APRCL main test (2 88) done: p=3 q=673 k=1 g=5 h=2 R20=29292929292929292926
APRCL main test (2 89) done: p=3 q=2017 k=2 g=5 h=0 R20=6
APRCL main test (2 90) done: p=3 q=3169 k=2 g=7 h=5 R20=0
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=0 R20=2
APRCL main test (2 94) done: p=3 q=21601 k=3 g=7 h=20 R20=27317988136359293935
APRCL main test (2 95) done: p=3 q=30241 k=3 g=11 h=24 R20=26954972338147065322
APRCL main test (2 96) done: p=3 q=47521 k=3 g=17 h=22 R20=11243874658745190978
APRCL main test (2 97) done: p=3 q=66529 k=3 g=19 h=6 R20=54293907588299429706
APRCL main test (2 98) done: p=3 q=79201 k=2 g=13 h=7 R20=0
APRCL main test (2 99) done: p=3 q=110881 k=2 g=69 h=2 R20=0
APRCL main test (2 100) done: p=3 q=151201 k=3 g=17 h=9 R20=38142040236185059550
APRCL main test (2 101) done: p=3 q=332641 k=3 g=19 h=26 R20=46994470270157362894
APRCL main test (2 103) done: p=3 q=79 k=1 g=3 h=1 R20=1
APRCL main test (2 105) done: p=3 q=157 k=1 g=5 h=2 R20=29292929292929292926
APRCL main test (2 106) done: p=3 q=313 k=1 g=10 h=2 R20=29292929292929292926
APRCL main test (2 108) done: p=3 q=547 k=1 g=2 h=0 R20=2
APRCL main test (2 109) done: p=3 q=859 k=1 g=2 h=1 R20=1
APRCL main test (2 111) done: p=3 q=937 k=2 g=5 h=2 R20=0
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=6 R20=29292929292929292922
APRCL main test (2 114) done: p=3 q=1249 k=1 g=7 h=1 R20=1
APRCL main test (2 116) done: p=3 q=1873 k=2 g=10 h=2 R20=0
APRCL main test (2 117) done: p=3 q=1951 k=1 g=3 h=1 R20=1
APRCL main test (2 120) done: p=3 q=2341 k=2 g=7 h=6 R20=29292929292929292922
APRCL main test (2 121) done: p=3 q=2731 k=1 g=3 h=2 R20=29292929292929292926
APRCL main test (2 123) done: p=3 q=3121 k=1 g=7 h=1 R20=1
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=17 R20=13023050335571835667
APRCL main test (2 126) done: p=3 q=5851 k=2 g=2 h=8 R20=0
APRCL main test (2 127) done: p=3 q=6007 k=1 g=3 h=2 R20=29292929292929292926
APRCL main test (2 128) done: p=3 q=6553 k=2 g=10 h=3 R20=1
APRCL main test (2 130) done: p=3 q=7723 k=3 g=3 h=12 R20=40539674150690056011
APRCL main test (2 132) done: p=3 q=8191 k=2 g=17 h=1 R20=0
APRCL main test (2 133) done: p=3 q=8581 k=1 g=6 h=0 R20=2
APRCL main test (2 134) done: p=3 q=8737 k=1 g=5 h=2 R20=29292929292929292926
APRCL main test (2 135) done: p=3 q=9829 k=3 g=10 h=11 R20=71366559710031997779
APRCL main test (2 136) done: p=3 q=11701 k=2 g=6 h=6 R20=29292929292929292922
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=25116625017898527532
APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=0 R20=7182381723757400598
APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=2 R20=21802489284191409240
APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=4 R20=63073378076304001686
APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=3 R20=51279753809610613830
APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=1 R20=33747807399569001732
APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=1 R20=13864284854058046761
APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=4 R20=77498282803493796353
APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=3 R20=16348982049782993532
APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=2 R20=36158414656113339384
APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=0 R20=70599785284094766680
APRCL main test (3 25) done: p=5 q=241 k=1 g=7 h=0 R20=71638490150691862609
APRCL main test (3 29) done: p=5 q=271 k=1 g=6 h=2 R20=46978609930094021568
APRCL main test (3 32) done: p=5 q=541 k=1 g=2 h=2 R20=39827566758303366249
APRCL main test (3 34) done: p=5 q=2161 k=1 g=23 h=3 R20=93612721629823520925
APRCL main test (3 35) done: p=5 q=7561 k=1 g=13 h=3 R20=93538166161594788530
APRCL main test (3 36) done: p=5 q=15121 k=1 g=11 h=0 R20=67184379279300409809
APRCL main test (3 41) done: p=5 q=331 k=1 g=3 h=0 R20=79649827759606284360
APRCL main test (3 45) done: p=5 q=661 k=1 g=2 h=1 R20=8597864711340724269
APRCL main test (3 46) done: p=5 q=881 k=1 g=3 h=0 R20=16771138763881920202
APRCL main test (3 47) done: p=5 q=991 k=1 g=6 h=0 R20=80350644212982019775
APRCL main test (3 48) done: p=5 q=1321 k=1 g=13 h=4 R20=59864129993880994742
APRCL main test (3 49) done: p=5 q=2311 k=1 g=3 h=4 R20=67428795885520338758
APRCL main test (3 51) done: p=5 q=2971 k=1 g=10 h=3 R20=78702800645426082315
APRCL main test (3 54) done: p=5 q=4621 k=1 g=2 h=2 R20=83225293023975967009
APRCL main test (3 56) done: p=5 q=9241 k=1 g=13 h=2 R20=62228838272788769720
APRCL main test (3 58) done: p=5 q=18481 k=1 g=13 h=4 R20=51442800873540944214
APRCL main test (3 59) done: p=5 q=23761 k=1 g=7 h=1 R20=37339635957317002
APRCL main test (3 60) done: p=5 q=55441 k=1 g=38 h=4 R20=23474556105397947831
APRCL main test (3 61) done: p=5 q=101 k=2 g=2 h=3 R20=6462806989842617832
APRCL main test (3 62) done: p=5 q=151 k=2 g=6 h=7 R20=41038668738559224377
APRCL main test (3 63) done: p=5 q=401 k=2 g=3 h=21 R20=23369904288875174669
APRCL main test (3 64) done: p=5 q=601 k=2 g=7 h=0 R20=76251610289569656684
Parameters saved: 2 21621600 3 65 1 3 1885
APRCL main test (3 65) done: p=5 q=701 k=2 g=2 h=5 R20=99550986347605210483
APRCL main test (3 66) done: p=5 q=1051 k=2 g=7 h=18 R20=72009152827279946552
APRCL main test (3 67) done: p=5 q=1201 k=2 g=11 h=17 R20=55292646820929716679
APRCL main test (3 68) done: p=5 q=1801 k=2 g=11 h=7 R20=12449865043509168176
APRCL main test (3 69) done: p=5 q=2801 k=2 g=3 h=10 R20=63050361582756228675
APRCL main test (3 70) done: p=5 q=3301 k=2 g=6 h=19 R20=99823723492211176438
APRCL main test (3 71) done: p=5 q=3851 k=2 g=2 h=10 R20=5407314738458749023
APRCL main test (3 72) done: p=5 q=4201 k=2 g=11 h=22 R20=1697120091949481233
APRCL main test (3 73) done: p=5 q=4951 k=2 g=6 h=15 R20=59630052364816647602
APRCL main test (3 74) done: p=5 q=6301 k=2 g=10 h=12 R20=70253702153000191803
APRCL main test (3 75) done: p=5 q=9901 k=2 g=2 h=5 R20=37997688682099784877
APRCL main test (3 76) done: p=5 q=11551 k=2 g=7 h=23 R20=67418316034462547496
APRCL main test (3 77) done: p=5 q=12601 k=2 g=11 h=20 R20=51448967190585340499
APRCL main test (3 78) done: p=5 q=14851 k=2 g=2 h=14 R20=75395394012510664862
APRCL main test (3 79) done: p=5 q=15401 k=2 g=6 h=21 R20=76831396965965920667
APRCL main test (3 80) done: p=5 q=19801 k=2 g=13 h=14 R20=17294716638699635055
Parameters saved: 2 21621600 3 81 1 4 1894
APRCL main test (3 81) done: p=5 q=34651 k=2 g=2 h=7 R20=75450869486827639683
APRCL main test (3 82) done: p=5 q=92401 k=2 g=34 h=21 R20=11799164028304533393
APRCL main test (3 83) done: p=5 q=103951 k=2 g=6 h=18 R20=50228344039609622722
APRCL main test (3 84) done: p=5 q=118801 k=2 g=17 h=23 R20=94405512740583050206
APRCL main test (3 85) done: p=5 q=415801 k=2 g=31 h=22 R20=54109349778950160074
APRCL main test (3 91) done: p=5 q=3361 k=1 g=22 h=2 R20=98878103162612241522
APRCL main test (3 92) done: p=5 q=5281 k=1 g=7 h=4 R20=39896304596262457569
APRCL main test (3 94) done: p=5 q=21601 k=2 g=7 h=1 R20=64165439199101542699
APRCL main test (3 95) done: p=5 q=30241 k=1 g=11 h=1 R20=73493776937426339219
APRCL main test (3 96) done: p=5 q=47521 k=1 g=17 h=3 R20=98663708363022006811
APRCL main test (3 98) done: p=5 q=79201 k=2 g=13 h=24 R20=29224515684294287177
APRCL main test (3 99) done: p=5 q=110881 k=1 g=69 h=0 R20=61762280538575652895
APRCL main test (3 100) done: p=5 q=151201 k=2 g=17 h=16 R20=77987765527249818034
APRCL main test (3 101) done: p=5 q=332641 k=1 g=19 h=2 R20=12588213135339722877
APRCL main test (3 104) done: p=5 q=131 k=1 g=2 h=3 R20=78659959111911182240
APRCL main test (3 107) done: p=5 q=521 k=1 g=3 h=2 R20=97582029808981331881
APRCL main test (3 110) done: p=5 q=911 k=1 g=17 h=2 R20=51948953322864571443
APRCL main test (3 113) done: p=5 q=1171 k=1 g=2 h=4 R20=85188120209401136845
APRCL main test (3 115) done: p=5 q=1301 k=2 g=2 h=6 R20=23701869076457159415
APRCL main test (3 117) done: p=5 q=1951 k=2 g=3 h=9 R20=87011428094617227873
APRCL main test (3 119) done: p=5 q=2081 k=1 g=3 h=0 R20=43531815032837533443
APRCL main test (3 120) done: p=5 q=2341 k=1 g=7 h=3 R20=58664198664529284093
APRCL main test (3 121) done: p=5 q=2731 k=1 g=3 h=0 R20=31274360529540097616
APRCL main test (3 122) done: p=5 q=2861 k=1 g=2 h=1 R20=83202336325866774899
APRCL main test (3 123) done: p=5 q=3121 k=1 g=7 h=3 R20=16594747170514024579
APRCL main test (3 125) done: p=5 q=3511 k=1 g=7 h=4 R20=92900789475107588934
APRCL main test (3 126) done: p=5 q=5851 k=2 g=2 h=13 R20=85314060671405200534
APRCL main test (3 129) done: p=5 q=7151 k=2 g=7 h=3 R20=52931967932806014178
APRCL main test (3 132) done: p=5 q=8191 k=1 g=17 h=0 R20=11200339563197646099
APRCL main test (3 133) done: p=5 q=8581 k=1 g=6 h=3 R20=63694974269703625300
APRCL main test (3 136) done: p=5 q=11701 k=2 g=6 h=3 R20=70210699688469674819
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) for p=7 q=29 not needed
APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=6 R20=29204436006025862109
APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=2 R20=72390608712735850135
APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=5 R20=34787606162986610524
APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=6 R20=10994405958762995457
APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=2 R20=58430084476940918884
APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=1 R20=13280339212837739475
APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=6 R20=40418557395046907715
APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=1 R20=38962998526460343212
APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=2 R20=83063211864018923426
APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=6 R20=72819891062524130519
APRCL main test (4 27) done: p=7 q=1009 k=1 g=11 h=1 R20=73342827536127380515
APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=0 R20=31744533592355421061
APRCL main test (4 33) done: p=7 q=757 k=1 g=2 h=6 R20=65212283647359584103
APRCL main test (4 35) done: p=7 q=7561 k=1 g=13 h=0 R20=58210847798087039290
APRCL main test (4 36) done: p=7 q=15121 k=1 g=11 h=6 R20=42166314558625413248
APRCL main test (4 43) done: p=7 q=463 k=1 g=3 h=2 R20=46560506517874273603
APRCL main test (4 44) done: p=7 q=617 k=1 g=3 h=1 R20=7865556291916570764
Parameters saved: 2 21621600 4 49 1 5 1805
APRCL main test (4 49) done: p=7 q=2311 k=1 g=3 h=2 R20=71248532655460988131
APRCL main test (4 52) done: p=7 q=3697 k=1 g=5 h=2 R20=79764521605426819815
APRCL main test (4 53) done: p=7 q=4159 k=1 g=3 h=0 R20=25407417304329616687
APRCL main test (4 54) done: p=7 q=4621 k=1 g=2 h=0 R20=20526283108393565198
APRCL main test (4 55) done: p=7 q=8317 k=1 g=6 h=2 R20=75410895134285344276
APRCL main test (4 56) done: p=7 q=9241 k=1 g=13 h=6 R20=48805421931037021986
APRCL main test (4 57) done: p=7 q=16633 k=1 g=15 h=2 R20=50658226860299545305
APRCL main test (4 58) done: p=7 q=18481 k=1 g=13 h=0 R20=91280596405750661241
APRCL main test (4 60) done: p=7 q=55441 k=1 g=38 h=2 R20=3327263825787517879
APRCL main test (4 65) done: p=7 q=701 k=1 g=2 h=3 R20=34713182977750543319
APRCL main test (4 66) done: p=7 q=1051 k=1 g=7 h=4 R20=50353296123668464790
APRCL main test (4 69) done: p=7 q=2801 k=1 g=3 h=2 R20=120685877835902762
APRCL main test (4 71) done: p=7 q=3851 k=1 g=2 h=6 R20=92110474651272473075
APRCL main test (4 72) done: p=7 q=4201 k=1 g=11 h=4 R20=75451935591115607467
APRCL main test (4 74) done: p=7 q=6301 k=1 g=10 h=3 R20=7010025364360200879
APRCL main test (4 76) done: p=7 q=11551 k=1 g=7 h=5 R20=58687146613236047080
APRCL main test (4 77) done: p=7 q=12601 k=1 g=11 h=0 R20=91111953165316745576
APRCL main test (4 79) done: p=7 q=15401 k=1 g=6 h=1 R20=98814679956593773800
APRCL main test (4 81) done: p=7 q=34651 k=1 g=2 h=1 R20=7597404956408976273
APRCL main test (4 82) done: p=7 q=92401 k=1 g=34 h=3 R20=34791778674630947557
APRCL main test (4 83) done: p=7 q=103951 k=1 g=6 h=2 R20=86827978251312468985
APRCL main test (4 85) done: p=7 q=415801 k=1 g=31 h=0 R20=36941492103718594368
APRCL main test (4 88) done: p=7 q=673 k=1 g=5 h=5 R20=52958929981995378248
APRCL main test (4 89) done: p=7 q=2017 k=1 g=5 h=2 R20=34308093358737785939
APRCL main test (4 91) done: p=7 q=3361 k=1 g=22 h=6 R20=94351950500049570344
APRCL main test (4 93) done: p=7 q=7393 k=1 g=5 h=5 R20=64304965371554935488
APRCL main test (4 95) done: p=7 q=30241 k=1 g=11 h=0 R20=21418488012117681686
APRCL main test (4 97) done: p=7 q=66529 k=1 g=19 h=5 R20=61590989846439895108
APRCL main test (4 99) done: p=7 q=110881 k=1 g=69 h=1 R20=82061199951408175756
APRCL main test (4 100) done: p=7 q=151201 k=1 g=17 h=0 R20=64604372906909159871
APRCL main test (4 101) done: p=7 q=332641 k=1 g=19 h=0 R20=6461900287762082410
APRCL main test (4 108) done: p=7 q=547 k=1 g=2 h=2 R20=54931180074414533836
APRCL main test (4 110) done: p=7 q=911 k=1 g=17 h=0 R20=26516980676742643006
APRCL main test (4 112) done: p=7 q=1093 k=1 g=5 h=5 R20=23075884270412772853
APRCL main test (4 118) done: p=7 q=2003 k=1 g=5 h=6 R20=93886438782119553235
APRCL main test (4 121) done: p=7 q=2731 k=1 g=3 h=6 R20=16421601536603071640
APRCL main test (4 127) done: p=7 q=6007 k=1 g=3 h=6 R20=9459702716028176201
APRCL main test (4 128) done: p=7 q=6553 k=1 g=10 h=0 R20=68312703045223535286
APRCL main test (4 131) done: p=7 q=8009 k=1 g=3 h=2 R20=53567582091084140316
APRCL main test (4 132) done: p=7 q=8191 k=1 g=17 h=2 R20=77716543551444736578
APRCL main test (4 134) done: p=7 q=8737 k=1 g=5 h=3 R20=24569755485398501488
APRCL main test (4 135) done: p=7 q=9829 k=1 g=10 h=4 R20=91878405445455836103
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=9 R20=74957633770316686687
APRCL main test (5 38) done: p=11 q=67 k=1 g=2 h=3 R20=20346374270028176273
APRCL main test (5 39) done: p=11 q=89 k=1 g=3 h=9 R20=51093519085368378447
APRCL main test (5 40) done: p=11 q=199 k=1 g=3 h=7 R20=7570655609216903545
APRCL main test (5 41) done: p=11 q=331 k=1 g=3 h=1 R20=55697512720047811259
APRCL main test (5 42) done: p=11 q=397 k=1 g=5 h=10 R20=58226575479248309273
APRCL main test (5 43) done: p=11 q=463 k=1 g=3 h=0 R20=57398292705404819598
APRCL main test (5 44) done: p=11 q=617 k=1 g=3 h=4 R20=20230910881443812231
APRCL main test (5 45) done: p=11 q=661 k=1 g=2 h=8 R20=6306732784270650875
APRCL main test (5 46) done: p=11 q=881 k=1 g=3 h=10 R20=74846726145874744369
APRCL main test (5 47) done: p=11 q=991 k=1 g=6 h=8 R20=42421867731273809162
APRCL main test (5 48) done: p=11 q=1321 k=1 g=13 h=0 R20=6045775424815379474
APRCL main test (5 49) done: p=11 q=2311 k=1 g=3 h=9 R20=53857784849697968038
APRCL main test (5 50) done: p=11 q=2377 k=1 g=5 h=4 R20=99887427936110593116
APRCL main test (5 51) done: p=11 q=2971 k=1 g=10 h=2 R20=5208581258028488931
APRCL main test (5 52) done: p=11 q=3697 k=1 g=5 h=9 R20=56897212895924606236
APRCL main test (5 53) done: p=11 q=4159 k=1 g=3 h=9 R20=32737926249048449110
APRCL main test (5 54) done: p=11 q=4621 k=1 g=2 h=4 R20=52535390624336055019
APRCL main test (5 55) done: p=11 q=8317 k=1 g=6 h=0 R20=28315476746744710989
APRCL main test (5 56) done: p=11 q=9241 k=1 g=13 h=0 R20=13888982703490525851
APRCL main test (5 57) done: p=11 q=16633 k=1 g=15 h=7 R20=2940113388443694586
APRCL main test (5 58) done: p=11 q=18481 k=1 g=13 h=1 R20=42349392032927556967
APRCL main test (5 59) done: p=11 q=23761 k=1 g=7 h=0 R20=37477567197954530385
APRCL main test (5 60) done: p=11 q=55441 k=1 g=38 h=8 R20=96164077709338263464
APRCL main test (5 70) done: p=11 q=3301 k=1 g=6 h=0 R20=40565542990876698427
APRCL main test (5 71) done: p=11 q=3851 k=1 g=2 h=8 R20=7577134431725252451
APRCL main test (5 73) done: p=11 q=4951 k=1 g=6 h=0 R20=51726672902864295385
APRCL main test (5 75) done: p=11 q=9901 k=1 g=2 h=3 R20=2505457733092954820
APRCL main test (5 76) done: p=11 q=11551 k=1 g=7 h=3 R20=98935043083378556378
APRCL main test (5 78) done: p=11 q=14851 k=1 g=2 h=2 R20=71503020713539371041
APRCL main test (5 79) done: p=11 q=15401 k=1 g=6 h=3 R20=40331818946041568857
APRCL main test (5 80) done: p=11 q=19801 k=1 g=13 h=2 R20=69793926941476046232
APRCL main test (5 81) done: p=11 q=34651 k=1 g=2 h=5 R20=81170362421752557576
APRCL main test (5 82) done: p=11 q=92401 k=1 g=34 h=1 R20=10070122451004334968
APRCL main test (5 83) done: p=11 q=103951 k=1 g=6 h=8 R20=27194778801870007754
APRCL main test (5 84) done: p=11 q=118801 k=1 g=17 h=7 R20=74792410881402494315
APRCL main test (5 85) done: p=11 q=415801 k=1 g=31 h=4 R20=59746882931249083933
APRCL main test (5 87) done: p=11 q=353 k=1 g=3 h=9 R20=19799791599897841514
APRCL main test (5 90) done: p=11 q=3169 k=1 g=7 h=4 R20=56677775916894147510
APRCL main test (5 92) done: p=11 q=5281 k=1 g=7 h=10 R20=86711316692357302371
APRCL main test (5 93) done: p=11 q=7393 k=1 g=5 h=6 R20=1802132762149521216
APRCL main test (5 96) done: p=11 q=47521 k=1 g=17 h=9 R20=65911537423231104616
APRCL main test (5 97) done: p=11 q=66529 k=1 g=19 h=6 R20=32151459830820404190
APRCL main test (5 98) done: p=11 q=79201 k=1 g=13 h=1 R20=52648612865414878108
APRCL main test (5 99) done: p=11 q=110881 k=1 g=69 h=9 R20=52883553315236729419
APRCL main test (5 101) done: p=11 q=332641 k=1 g=19 h=1 R20=45895923368441909565
APRCL main test (5 109) done: p=11 q=859 k=1 g=2 h=2 R20=19869591369258496558
APRCL main test (5 118) done: p=11 q=2003 k=1 g=5 h=2 R20=1776707205429558984
APRCL main test (5 122) done: p=11 q=2861 k=1 g=2 h=6 R20=41389200638298688036
APRCL main test (5 124) done: p=11 q=3433 k=1 g=5 h=1 R20=80941293630415807934
APRCL main test (5 127) done: p=11 q=6007 k=1 g=3 h=1 R20=20726072443272544813
APRCL main test (5 129) done: p=11 q=7151 k=1 g=7 h=7 R20=6403283588123482814
APRCL main test (5 130) done: p=11 q=7723 k=1 g=3 h=10 R20=61161109658027683155
APRCL main test (5 131) done: p=11 q=8009 k=1 g=3 h=4 R20=12456737084215501341
APRCL main test (5 133) done: p=11 q=8581 k=1 g=6 h=10 R20=56807640908476596767
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=87974993080593230995
APRCL main test (6 103) done: p=13 q=79 k=1 g=3 h=1 R20=10028219843228910412
APRCL main test (6 104) done: p=13 q=131 k=1 g=2 h=0 R20=18266069164048762967
Parameters saved: 2 21621600 6 105 1 6 1813
APRCL main test (6 105) done: p=13 q=157 k=1 g=5 h=4 R20=55186298625973850402
APRCL main test (6 106) done: p=13 q=313 k=1 g=10 h=0 R20=87310907869255113839
APRCL main test (6 107) done: p=13 q=521 k=1 g=3 h=6 R20=96103726348118866650
APRCL main test (6 108) done: p=13 q=547 k=1 g=2 h=12 R20=89345416608703623038
APRCL main test (6 109) done: p=13 q=859 k=1 g=2 h=5 R20=14373399405803808558
APRCL main test (6 110) done: p=13 q=911 k=1 g=17 h=6 R20=28861486922780853551
APRCL main test (6 111) done: p=13 q=937 k=1 g=5 h=3 R20=4076580113495469874
APRCL main test (6 112) done: p=13 q=1093 k=1 g=5 h=12 R20=16609511229615951320
APRCL main test (6 113) done: p=13 q=1171 k=1 g=2 h=1 R20=87898190413553340485
APRCL main test (6 114) done: p=13 q=1249 k=1 g=7 h=12 R20=80602886429303306122
APRCL main test (6 115) done: p=13 q=1301 k=1 g=2 h=9 R20=10164174183309182807
APRCL main test (6 116) done: p=13 q=1873 k=1 g=10 h=10 R20=73973976219598881657
APRCL main test (6 117) done: p=13 q=1951 k=1 g=3 h=11 R20=24537989869407756450
APRCL main test (6 118) done: p=13 q=2003 k=1 g=5 h=8 R20=71431652058385649637
APRCL main test (6 119) done: p=13 q=2081 k=1 g=3 h=11 R20=34022119450850848528
APRCL main test (6 120) done: p=13 q=2341 k=1 g=7 h=5 R20=87536967105394380106
APRCL main test (6 121) done: p=13 q=2731 k=1 g=3 h=3 R20=6394623301944587149
APRCL main test (6 122) done: p=13 q=2861 k=1 g=2 h=0 R20=56648363381304996079
APRCL main test (6 123) done: p=13 q=3121 k=1 g=7 h=9 R20=42933822093525341207
APRCL main test (6 124) done: p=13 q=3433 k=1 g=5 h=0 R20=92564566825817607202
APRCL main test (6 125) done: p=13 q=3511 k=1 g=7 h=9 R20=67913024453328792308
APRCL main test (6 126) done: p=13 q=5851 k=1 g=2 h=11 R20=55618186632070498591
APRCL main test (6 127) done: p=13 q=6007 k=1 g=3 h=8 R20=58977192517357723402
APRCL main test (6 128) done: p=13 q=6553 k=1 g=10 h=6 R20=85752728332218071486
APRCL main test (6 129) done: p=13 q=7151 k=1 g=7 h=8 R20=63399634810895991539
APRCL main test (6 130) done: p=13 q=7723 k=1 g=3 h=8 R20=25837347203359553333
APRCL main test (6 131) done: p=13 q=8009 k=1 g=3 h=0 R20=93028696422523081860
APRCL main test (6 132) done: p=13 q=8191 k=1 g=17 h=1 R20=17326369227903191898
APRCL main test (6 133) done: p=13 q=8581 k=1 g=6 h=0 R20=10093780816875383560
APRCL main test (6 134) done: p=13 q=8737 k=1 g=5 h=0 R20=17674288250242891176
APRCL main test (6 135) done: p=13 q=9829 k=1 g=10 h=10 R20=7065256216490694500
APRCL main test (6 136) done: p=13 q=11701 k=1 g=6 h=9 R20=95633372216140671337
APRCL tests for p=13 completed
Main divisor test: F1=0.0036 F2=0.0065 G=0.5022 S=0.4922 T=21621600
G=25645669300564583861065863716380638539874725279114394813541709235384329766870795709677334347218556799542763940063146005938839992145747554324494688103888797306419904784088143321742708645169763300150882228420246168502423260795933494870479724741860360775749833146325910963684101491528237331871123854370215517345256457595262697531062671300947893967505084522173524461723106853721732707412892480323024813857079402055729367852844489784960
Parameters saved: 4 21621600 8644235 0 0 7 1801
Main divisor test passed: 21621600/21621600
*** N is prime!
Time: 14012 sec

(92*10^11393-29)/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

(92*10^11393-29)/99 is 3-PRP! (30.380000 seconds)
(92*10^11393-29)/99 is 5-PRP! (30.370000 seconds)
(92*10^11393-29)/99 is 7-PRP! (30.380000 seconds)
(92*10^11393-29)/99 is 11-PRP! (30.380000 seconds)
(92*10^11393-29)/99 is 13-PRP! (30.370000 seconds)
(92*10^11393-29)/99 is 17-PRP! (30.320000 seconds)
(92*10^11393-29)/99 is 19-PRP! (30.320000 seconds)
(92*10^11393-29)/99 is 23-PRP! (30.370000 seconds)
(92*10^11393-29)/99 is 29-PRP! (30.370000 seconds)
(92*10^11393-29)/99 is 31-PRP! (30.370000 seconds)
(92*10^11393-29)/99 is 37-PRP! (30.380000 seconds)
(92*10^11393-29)/99 is 41-PRP! (30.380000 seconds)
(92*10^11393-29)/99 is 43-PRP! (30.320000 seconds)
(92*10^11393-29)/99 is 47-PRP! (30.320000 seconds)
(92*10^11393-29)/99 is 53-PRP! (30.320000 seconds)
(92*10^11393-29)/99 is 59-PRP! (30.370000 seconds)
(92*10^11393-29)/99 is 61-PRP! (30.370000 seconds)
(92*10^11393-29)/99 is 251-PRP! (30.370000 seconds)

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Patrick De Geest - Belgium

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