*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(97*10^27-79)/99
N=979797979797979797979797979
Factor: 2 divides N - 1
Factor: 2^2 divides N + 1
Factor: 3^2 divides N - 1
Factor: 5 divides N + 1
Factor: 7 divides N + 1
Factor: 23 divides N + 1
Factorization results: F1=0.0465 F2=0.1300
F1=18
F2=3220
Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=79797979797979797977
Pass: 3^(N-1) = 1 (mod N): R20=1
Pass: gcd(U{(N+1)/2}, N) = 1: d=17 p=1 q=-4 R20=96702488785876279108
Pass: U{N+1} = 0 (mod N): d=17 p=1 q=-4 R20=0
Pass: gcd(3^((N-1)/3) - 1, N) = 1: R20=76351156255890163571
Pass: gcd(U{(N+1)/5}, N) = 1: d=17 p=1 q=-4 R20=87385502589410124971
Pass: gcd(U{(N+1)/7}, N) = 1: d=17 p=1 q=-4 R20=80640607309143121676
Pass: gcd(U{(N+1)/23}, N) = 1: d=17 p=1 q=-4 R20=1978722488472152684
BLS tests passed: F1=0.0465 F2=0.1300
APRCL test
T=180
S=34408161359
APRCL main test (1) at level 3 for p=2
APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=1 R20=79797979797979797978
APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=0 R20=68686868686868686868
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=35467097005558544020
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=79797979797979797978
APRCL main test (1 8) done: p=2 q=61 k=2 g=2 h=2 R20=83090512759956457887
APRCL main test (1 9) done: p=2 q=19 k=1 g=2 h=0 R20=1
APRCL L_2 condition satisfied
APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=1 R20=16039872796629553386
APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=1 R20=29992671133051463322
APRCL tests for p=2 completed
APRCL main test (2) at level 3 for p=3
APRCL main test (2 4) done: p=3 q=7 k=1 g=3 h=0 R20=2
APRCL L_3 condition satisfied
APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=2 R20=79797979797979797976
APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=2 R20=79797979797979797976
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=1 R20=0
APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=8 R20=0
APRCL tests for p=3 completed
APRCL main test (3) at level 3 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=45243287950256550265
APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=0 R20=43571179380672997860
APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=3 R20=36667903227429753227
APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=1 R20=83108058555367007672
APRCL tests for p=5 completed
Main divisor test: F1=0.0354 F2=0.1300 G=0.5557 S=0.3904 T=180
G=997148516183820
Main divisor test passed: 180/180
*** N is prime!
Time: 0 sec

*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(97*10^45-79)/99
N=979797979797979797979797979797979797979797979
Factor: 2 divides N - 1
Factor: 2^2 divides N + 1
Factor: 3^2 divides N - 1
Factor: 5 divides N + 1
Factor: 7^3 divides N + 1
Factor: 383 divides N + 1
Factor: 2549 divides N - 1
Factor: 8269 divides N - 1
Factor: 38053 divides N - 1
Factorization results: F1=0.2925 F2=0.1427
F1=14437241911674
F2=2627380
Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=79797979797979797977
Pass: 3^(N-1) = 1 (mod N): R20=1
Pass: gcd(U{(N+1)/2}, N) = 1: d=17 p=1 q=-4 R20=58386303927985840752
Pass: U{N+1} = 0 (mod N): d=17 p=1 q=-4 R20=0
Pass: gcd(3^((N-1)/3) - 1, N) = 1: R20=86357668176932243120
Pass: gcd(U{(N+1)/5}, N) = 1: d=17 p=1 q=-4 R20=51255775616025661214
Pass: gcd(U{(N+1)/7}, N) = 1: d=17 p=1 q=-4 R20=83525830647430277361
Pass: gcd(U{(N+1)/383}, N) = 1: d=17 p=1 q=-4 R20=21997256185144070038
Pass: gcd(3^((N-1)/2549) - 1, N) = 1: R20=40291817876891901557
Pass: gcd(3^((N-1)/8269) - 1, N) = 1: R20=8812524140781941271
Pass: gcd(3^((N-1)/38053) - 1, N) = 1: R20=32155500552291540725
BLS tests passed: F1=0.2925 F2=0.1427
Main divisor test: F1=0.2858 F2=0.1427 G=0.4285 S=0.0000 T=1
G=18966060326947017060
Main divisor test passed: 1/1
Final divisor test: F=0.2925 G=0.4285 H=1.0135 t=-1 a=1
Final divisor test passed: 3/3 r=3 i=0
*** N is prime!
Time: 1 sec

*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(97*10^237-79)/99
N=979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979
Factor: 2 divides N - 1
Factor: 2^2 divides N + 1
Factor: 3 divides N - 1
Factor: 5 divides N + 1
Factor: 7 divides N + 1
Factor: 3023 divides N - 1
Factor: 91621 divides N - 1
Factorization results: F1=0.0389 F2=0.0091
F1=1661821698
F2=140
Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=79797979797979797977
Pass: 3^(N-1) = 1 (mod N): R20=1
Pass: gcd(U{(N+1)/2}, N) = 1: d=17 p=1 q=-4 R20=22571847742643822254
Pass: U{N+1} = 0 (mod N): d=17 p=1 q=-4 R20=0
Pass: gcd(3^((N-1)/3) - 1, N) = 1: R20=91532336111533738622
Pass: gcd(U{(N+1)/5}, N) = 1: d=17 p=1 q=-4 R20=96283051892583094794
Pass: gcd(U{(N+1)/7}, N) = 1: d=17 p=1 q=-4 R20=40397982907205341559
Pass: gcd(3^((N-1)/3023) - 1, N) = 1: R20=14384641335671586327
Pass: gcd(3^((N-1)/91621) - 1, N) = 1: R20=46187417065126537914
BLS tests passed: F1=0.0389 F2=0.0091
APRCL test
T=166320
S=167560575961596857516912541667962070696888202537208408630385099366479338261910700138011038295893751858867295381
APRCL main test (1) at level 8 for p=2
APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=1 R20=79797979797979797978
APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=0 R20=68686868686868686868
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=16896778435239973701
APRCL main test (1 6) done: p=2 q=11 k=1 g=2 h=1 R20=79797979797979797978
APRCL main test (1 7) done: p=2 q=31 k=1 g=3 h=1 R20=79797979797979797978
APRCL L_2 condition satisfied
APRCL main test (1 8) done: p=2 q=61 k=2 g=2 h=1 R20=45965703799619413701
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=20298677055433812190
APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=2 R20=4624123472754466924
APRCL main test (1 12) done: p=2 q=29 k=2 g=2 h=3 R20=40026903998366542956
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=79797979797979797978
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=6064395912681580219
APRCL main test (1 18) done: p=2 q=631 k=1 g=3 h=1 R20=79797979797979797978
APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=4 R20=5069733624165509947
APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=5 R20=71972682349863809800
APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=4 R20=47588830133377441542
APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=5 R20=92897099564536175150
APRCL main test (1 23) done: p=2 q=17 k=4 g=3 h=7 R20=63315557161267767723
APRCL main test (1 24) done: p=2 q=113 k=4 g=3 h=1 R20=90909062381533328196
APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=13 R20=65331533269544761380
APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=13 R20=49169189733404943367
APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=11 R20=35988357561981360918
APRCL main test (1 28) done: p=2 q=109 k=2 g=6 h=0 R20=5969551588607223654
APRCL main test (1 29) done: p=2 q=271 k=1 g=6 h=1 R20=79797979797979797978
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=9 R20=63984587286326210415
APRCL main test (1 32) done: p=2 q=541 k=2 g=2 h=1 R20=74110728131317100194
APRCL main test (1 33) done: p=2 q=757 k=2 g=2 h=1 R20=77490813758218465320
APRCL main test (1 34) done: p=2 q=2161 k=4 g=23 h=5 R20=33642339659234678068
APRCL main test (1 35) done: p=2 q=7561 k=3 g=13 h=7 R20=39683931075498152886
APRCL main test (1 36) done: p=2 q=15121 k=4 g=11 h=2 R20=74286552609970125907
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=7 R20=75424361019614144219
APRCL main test (1 40) done: p=2 q=199 k=1 g=3 h=1 R20=79797979797979797978
APRCL main test (1 41) done: p=2 q=331 k=1 g=3 h=1 R20=79797979797979797978
APRCL main test (1 42) done: p=2 q=397 k=2 g=5 h=0 R20=62213388188427684903
APRCL main test (1 43) done: p=2 q=463 k=1 g=3 h=1 R20=79797979797979797978
APRCL main test (1 44) done: p=2 q=617 k=3 g=3 h=5 R20=74897617188568595097
APRCL main test (1 45) done: p=2 q=661 k=2 g=2 h=0 R20=15421027387263846486
APRCL main test (1 46) done: p=2 q=881 k=4 g=3 h=2 R20=26001245912433492740
APRCL main test (1 47) done: p=2 q=991 k=1 g=6 h=1 R20=79797979797979797978
APRCL main test (1 48) done: p=2 q=1321 k=3 g=13 h=5 R20=22500234271361711920
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=7 R20=14310144712866491431
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) for p=3 q=7 not needed
APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=2 R20=79797979797979797976
APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=2 R20=79797979797979797976
APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=2 R20=79797979797979797976
APRCL main test (2 9) done: p=3 q=19 k=2 g=2 h=8 R20=43091706792512552714
APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=7 R20=54683856126045514720
APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=7 R20=43487318519402131730
APRCL main test (2 13) done: p=3 q=43 k=1 g=3 h=2 R20=79797979797979797976
APRCL main test (2 15) done: p=3 q=127 k=2 g=3 h=5 R20=85920389349898544560
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=0 R20=2
APRCL main test (2 18) done: p=3 q=631 k=2 g=3 h=1 R20=83609844454602339388
APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=5 R20=54453593167981887434
APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=7 R20=28079032794632127832
APRCL main test (2 25) done: p=3 q=241 k=1 g=7 h=2 R20=79797979797979797976
APRCL main test (2 26) done: p=3 q=337 k=1 g=10 h=2 R20=79797979797979797976
APRCL main test (2 27) done: p=3 q=1009 k=2 g=11 h=5 R20=70927390282391740214
APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=10 R20=84291963301241760966
APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=22 R20=55581955503386367324
APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=17 R20=52539932582199530380
APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=18 R20=53192790234295122786
APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=14 R20=21797765672905119364
APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=2 R20=8667913161089564501
APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=15 R20=93841858808879036032
APRCL main test (2 35) done: p=3 q=7561 k=3 g=13 h=12 R20=17907723390987480100
APRCL main test (2 36) done: p=3 q=15121 k=3 g=11 h=23 R20=29489405664156430450
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=3 R20=9753432671405633630
APRCL main test (2 41) done: p=3 q=331 k=1 g=3 h=1 R20=1
APRCL main test (2 42) done: p=3 q=397 k=2 g=5 h=3 R20=36560675246634352090
APRCL main test (2 43) done: p=3 q=463 k=1 g=3 h=2 R20=79797979797979797976
APRCL main test (2 45) done: p=3 q=661 k=1 g=2 h=0 R20=2
APRCL main test (2 47) done: p=3 q=991 k=2 g=6 h=3 R20=19996479919414919474
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=79797979797979797976
APRCL main test (2 50) done: p=3 q=2377 k=3 g=5 h=4 R20=78347454529740308982
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=3 R20=61723311311950935424
APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=0 R20=21613253074063770126
APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=3 R20=19647090884984454684
APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=3 R20=14726376346032231758
APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=1 R20=33090732531707926858
APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=0 R20=7524352173885047939
APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=1 R20=68859331386569608655
APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=4 R20=88760170237440520376
APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=2 R20=3614568919209798984
APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=1 R20=366820689435269997
APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=3 R20=90792052928016772495
APRCL main test (3 25) done: p=5 q=241 k=1 g=7 h=4 R20=41264137385615732599
APRCL main test (3 29) done: p=5 q=271 k=1 g=6 h=4 R20=15778304741032281314
APRCL main test (3 32) done: p=5 q=541 k=1 g=2 h=2 R20=44272198211049502900
APRCL main test (3 34) done: p=5 q=2161 k=1 g=23 h=4 R20=20969188363782527296
APRCL main test (3 35) done: p=5 q=7561 k=1 g=13 h=1 R20=46037054821033505398
APRCL main test (3 36) done: p=5 q=15121 k=1 g=11 h=4 R20=12542792967464686412
APRCL main test (3 41) done: p=5 q=331 k=1 g=3 h=0 R20=73620456906630903346
APRCL main test (3 45) done: p=5 q=661 k=1 g=2 h=2 R20=57801640768041780405
APRCL main test (3 46) done: p=5 q=881 k=1 g=3 h=4 R20=33460168290730330203
APRCL main test (3 47) done: p=5 q=991 k=1 g=6 h=0 R20=13478161459956649030
APRCL main test (3 48) done: p=5 q=1321 k=1 g=13 h=4 R20=93816477307676302474
APRCL main test (3 49) done: p=5 q=2311 k=1 g=3 h=4 R20=26710921496590873315
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=97394345161869992025
APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=0 R20=71072076216640514570
APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=2 R20=15720721487635426336
APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=0 R20=41187403512485067848
APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=6 R20=55952712716655755133
APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=5 R20=9800270062832237097
APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=1 R20=8820392828456828554
APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=1 R20=16474616061901471784
APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=4 R20=34185046907991425480
APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=1 R20=10093366398881692927
APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=5 R20=22559019163074113036
APRCL main test (4 27) done: p=7 q=1009 k=1 g=11 h=0 R20=37156247701050796895
APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=3 R20=7182988552341812083
APRCL main test (4 33) done: p=7 q=757 k=1 g=2 h=6 R20=61647569226687239048
APRCL main test (4 35) done: p=7 q=7561 k=1 g=13 h=3 R20=58576496905448299698
APRCL main test (4 36) done: p=7 q=15121 k=1 g=11 h=5 R20=78703971580515994365
APRCL main test (4 43) done: p=7 q=463 k=1 g=3 h=5 R20=76297009802076207930
APRCL main test (4 44) done: p=7 q=617 k=1 g=3 h=2 R20=5965490483391978876
APRCL main test (4 49) done: p=7 q=2311 k=1 g=3 h=0 R20=85004338149065233513
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=8 R20=47723310702148815383
APRCL main test (5 38) done: p=11 q=67 k=1 g=2 h=7 R20=74292456758542619400
APRCL main test (5 39) done: p=11 q=89 k=1 g=3 h=3 R20=5219154957448781704
APRCL main test (5 40) done: p=11 q=199 k=1 g=3 h=10 R20=301785886201638322
APRCL main test (5 41) done: p=11 q=331 k=1 g=3 h=8 R20=83888053027879090132
APRCL main test (5 42) done: p=11 q=397 k=1 g=5 h=0 R20=72912275290393685542
APRCL main test (5 43) done: p=11 q=463 k=1 g=3 h=8 R20=59762559115594000187
APRCL main test (5 44) done: p=11 q=617 k=1 g=3 h=7 R20=89357264993627132388
APRCL main test (5 45) done: p=11 q=661 k=1 g=2 h=10 R20=61103840597561570389
APRCL main test (5 46) done: p=11 q=881 k=1 g=3 h=8 R20=792161458428792284
APRCL main test (5 47) done: p=11 q=991 k=1 g=6 h=2 R20=69602890926765837945
APRCL main test (5 48) done: p=11 q=1321 k=1 g=13 h=5 R20=33940219975897747312
APRCL main test (5 49) done: p=11 q=2311 k=1 g=3 h=8 R20=66030333057875185516
APRCL main test (5 50) done: p=11 q=2377 k=1 g=5 h=10 R20=35222265730873984362
APRCL tests for p=11 completed
Main divisor test: F1=0.0376 F2=0.0091 G=0.5118 S=0.4651 T=166320
G=19491906060365121078515376459850393636756915723958611006701709415617099273462736589940283660253762679918545361670468385660
Main divisor test passed: 166320/166320
*** N is prime!
Time: 71 sec