Smoothly Undulating Palindromic Primes

(79*10^3-97)/99

*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(79*10^3-97)/99
N=797
*** N is prime!
Time: 0 sec

(79*10^357-97)/99


*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(79*10^357-97)/99
N=797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797
Factor: 2^2 divides N - 1
Factor: 2 divides N + 1
Factor: 3 divides N + 1
Factor: 7 divides N + 1
Factor: 17 divides N + 1
Factor: 577 divides N + 1
Factor: 5717 divides N + 1
Factor: 7907 divides N + 1
Factorization results: F1=0.0017 F2=0.0372
F1=4
F2=18623184932982
Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=97979797979797979795
Pass: 3^(N-1) = 1 (mod N): R20=1
Fail: gcd(U{(N+1)/2}, N) not = 1: d=5 p=1 q=-1 R20=0
Fail: gcd(U{(N+1)/2}, N) not = 1: d=5 p=3 q=1 R20=0
Pass: gcd(U{(N+1)/2}, N) = 1: d=5 p=5 q=5 R20=2
Pass: U{N+1} = 0 (mod N): d=5 p=5 q=5 R20=0
Pass: gcd(U{(N+1)/3}, N) = 1: d=5 p=5 q=5 R20=30099422253370989854
Fail: gcd(U{(N+1)/7}, N) not = 1: d=5 p=5 q=5 R20=0
Pass: gcd(U{(N+1)/7}, N) = 1: d=5 p=7 q=11 R20=34249091201117585244
Pass: U{N+1} = 0 (mod N): d=5 p=7 q=11 R20=0
Pass: gcd(U{(N+1)/17}, N) = 1: d=5 p=7 q=11 R20=41609655747222235770
Pass: gcd(U{(N+1)/577}, N) = 1: d=5 p=7 q=11 R20=73543102714379344718
Pass: gcd(U{(N+1)/5717}, N) = 1: d=5 p=7 q=11 R20=25438279222307896596
Pass: gcd(U{(N+1)/7907}, N) = 1: d=5 p=7 q=11 R20=39920037076941359172
BLS tests passed: F1=0.0017 F2=0.0372
APRCL test
T=831600
S=855167107021000160911285006852440958638964525148517207070704512525450073063004909214853494507654468738575972363166330596207543314663969925080224092925725239423391813625
APRCL main test (1) at level 9 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=97979797979797979796
APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=3 R20=0
APRCL main test (1 4) for p=2 q=7 not needed
APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=2 R20=97979797979797979795
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=97979797979797979796
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=97979797979797979796
APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=3 R20=0
APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=2 R20=97979797979797979795
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=1 R20=97979797979797979796
APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=1 R20=97979797979797979796
APRCL main test (1 17) done: p=2 q=421 k=2 g=2 h=1 R20=0
APRCL main test (1 18) done: p=2 q=631 k=1 g=3 h=0 R20=1
APRCL main test (1 19) done: p=2 q=41 k=3 g=6 h=2 R20=28301243273917891481
APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=4 R20=80186085533191362739
APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=7 R20=61631538156696998872
APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=7 R20=71520158877784222999
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=14 R20=99960158424837904956
APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=8 R20=29360680215751535939
APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=9 R20=22245469674175121561
APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=6 R20=99754821705222927231
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=1 R20=97979797979797979796
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=4 R20=87625698063519463452
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=12 R20=29337615542230331044
APRCL main test (1 35) done: p=2 q=7561 k=3 g=13 h=3 R20=14429173473148421941
APRCL main test (1 36) done: p=2 q=15121 k=4 g=11 h=2 R20=49503492978095766660
APRCL main test (1 37) done: p=2 q=23 k=1 g=5 h=1 R20=97979797979797979796
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=2 R20=77226779179103451358
APRCL main test (1 40) done: p=2 q=199 k=1 g=3 h=1 R20=97979797979797979796
APRCL main test (1 41) done: p=2 q=331 k=1 g=3 h=1 R20=97979797979797979796
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=97979797979797979796
APRCL main test (1 44) done: p=2 q=617 k=3 g=3 h=0 R20=19545873073390164208
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=13 R20=87450926143282157760
APRCL main test (1 47) done: p=2 q=991 k=1 g=6 h=1 R20=97979797979797979796
APRCL main test (1 48) done: p=2 q=1321 k=3 g=13 h=5 R20=87354943043588377215
APRCL main test (1 49) done: p=2 q=2311 k=1 g=3 h=1 R20=97979797979797979796
APRCL main test (1 50) done: p=2 q=2377 k=3 g=5 h=6 R20=9351072009453021078
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=8 R20=49466726290321262786
APRCL main test (1 53) done: p=2 q=4159 k=1 g=3 h=1 R20=97979797979797979796
APRCL main test (1 54) done: p=2 q=4621 k=2 g=2 h=0 R20=2
APRCL main test (1 55) done: p=2 q=8317 k=2 g=6 h=1 R20=0
APRCL main test (1 56) done: p=2 q=9241 k=3 g=13 h=0 R20=76935360815371747674
APRCL main test (1 57) done: p=2 q=16633 k=3 g=15 h=5 R20=86247711044773794309
APRCL main test (1 58) done: p=2 q=18481 k=4 g=13 h=1 R20=20146915916158720972
APRCL main test (1 59) done: p=2 q=23761 k=4 g=7 h=15 R20=22135625271030303963
APRCL main test (1 60) done: p=2 q=101 k=2 g=2 h=3 R20=0
APRCL main test (1 61) done: p=2 q=151 k=1 g=6 h=1 R20=97979797979797979796
APRCL main test (1 62) done: p=2 q=401 k=4 g=3 h=10 R20=53387922630889861028
APRCL main test (1 63) done: p=2 q=601 k=3 g=7 h=0 R20=6935289636914632495
APRCL main test (1 64) done: p=2 q=701 k=2 g=2 h=2 R20=97979797979797979795
APRCL main test (1 65) done: p=2 q=1051 k=1 g=7 h=1 R20=97979797979797979796
APRCL main test (1 66) done: p=2 q=1201 k=4 g=11 h=0 R20=3835854826366075768
APRCL main test (1 67) done: p=2 q=1801 k=3 g=11 h=6 R20=39649158387771331698
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) for p=3 q=7 not needed
APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=1 R20=22766122766122766123
APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=1 R20=70446399478657543173
APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=0 R20=37787713197549263122
APRCL main test (2 9) done: p=3 q=19 k=2 g=2 h=7 R20=44453133168689372217
APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=2 R20=10870894800770622538
APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=3 R20=99421086337361432681
APRCL main test (2 13) done: p=3 q=43 k=1 g=3 h=0 R20=8268733850129198966
APRCL main test (2 15) done: p=3 q=127 k=2 g=3 h=2 R20=29070835410421317939
APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=0 R20=64971994829814735028
APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=1 R20=4503466973775762374
APRCL main test (2 18) done: p=3 q=631 k=2 g=3 h=0 R20=66277716033564426105
APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=3 R20=39074745844115820235
APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=3 R20=65899648004502872670
APRCL main test (2 25) done: p=3 q=241 k=1 g=7 h=1 R20=35952889894798608491
APRCL main test (2 26) done: p=3 q=337 k=1 g=10 h=1 R20=26769175433863861163
APRCL main test (2 27) done: p=3 q=1009 k=2 g=11 h=4 R20=94961016471385993437
APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=25 R20=60202221427010818609
APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=3 R20=45400955727824470797
APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=5 R20=39239662754469049608
APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=20 R20=30357233235867182715
APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=2 R20=31156212655048841563
APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=22 R20=99370301237240678800
APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=19 R20=22441364009895857743
APRCL main test (2 35) done: p=3 q=7561 k=3 g=13 h=10 R20=81069648684844519055
APRCL main test (2 36) done: p=3 q=15121 k=3 g=11 h=3 R20=37464321997560222027
APRCL main test (2 38) done: p=3 q=67 k=1 g=2 h=2 R20=78531584501733755465
APRCL main test (2 40) done: p=3 q=199 k=2 g=3 h=0 R20=20997757283488863029
APRCL main test (2 41) done: p=3 q=331 k=1 g=3 h=0 R20=92871311300314321462
APRCL main test (2 42) done: p=3 q=397 k=2 g=5 h=0 R20=63299294881831028539
APRCL main test (2 43) done: p=3 q=463 k=1 g=3 h=1 R20=8253157929183847110
APRCL main test (2 45) done: p=3 q=661 k=1 g=2 h=1 R20=77984076773789330521
APRCL main test (2 47) done: p=3 q=991 k=2 g=6 h=5 R20=34727206539075364078
APRCL main test (2 48) done: p=3 q=1321 k=1 g=13 h=1 R20=42005979553292195230
APRCL main test (2 49) done: p=3 q=2311 k=1 g=3 h=2 R20=5168080633247227795
APRCL main test (2 50) done: p=3 q=2377 k=3 g=5 h=4 R20=69431022927091126704
APRCL main test (2 51) done: p=3 q=2971 k=3 g=10 h=0 R20=26152931515314486378
APRCL main test (2 52) done: p=3 q=3697 k=1 g=5 h=2 R20=34233052734540427264
APRCL main test (2 53) done: p=3 q=4159 k=3 g=3 h=10 R20=17570026996349441041
APRCL main test (2 54) done: p=3 q=4621 k=1 g=2 h=1 R20=5333140974776984298
APRCL main test (2 55) done: p=3 q=8317 k=3 g=6 h=25 R20=65137815131493957953
APRCL main test (2 56) done: p=3 q=9241 k=1 g=13 h=1 R20=36325597715057730207
APRCL main test (2 57) done: p=3 q=16633 k=3 g=15 h=0 R20=70587708178873609396
APRCL main test (2 58) done: p=3 q=18481 k=1 g=13 h=0 R20=76153614495695551915
APRCL main test (2 59) done: p=3 q=23761 k=3 g=7 h=2 R20=32766650290511870656
APRCL main test (2 61) done: p=3 q=151 k=1 g=6 h=0 R20=43454411666332196133
APRCL main test (2 63) done: p=3 q=601 k=1 g=7 h=0 R20=49898317618783508966
APRCL main test (2 65) done: p=3 q=1051 k=1 g=7 h=2 R20=66014089515516727695
APRCL main test (2 66) done: p=3 q=1201 k=1 g=11 h=0 R20=56209892429709249026
APRCL main test (2 67) done: p=3 q=1801 k=2 g=11 h=3 R20=98525419113377438055
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=4 R20=65255864429418148426
APRCL main test (3 7) done: p=5 q=31 k=1 g=3 h=2 R20=56226153312521678806
APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=1 R20=3647059142893595997
APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=3 R20=19972380315471185713
APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=2 R20=95815324440597203937
APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=1 R20=12063084972498507684
APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=0 R20=49525422185246943626
APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=2 R20=54077454430075605931
APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=4 R20=81927544330875681262
APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=4 R20=30744483371729733857
APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=1 R20=78762745626665848724
APRCL main test (3 25) done: p=5 q=241 k=1 g=7 h=3 R20=10448556778681948703
APRCL main test (3 29) done: p=5 q=271 k=1 g=6 h=1 R20=8941926722185705587
APRCL main test (3 32) done: p=5 q=541 k=1 g=2 h=3 R20=39672672205361378898
APRCL main test (3 34) done: p=5 q=2161 k=1 g=23 h=3 R20=40315916576435758666
APRCL main test (3 35) done: p=5 q=7561 k=1 g=13 h=2 R20=79323235130269889714
APRCL main test (3 36) done: p=5 q=15121 k=1 g=11 h=1 R20=49538466116991130398
APRCL main test (3 41) done: p=5 q=331 k=1 g=3 h=4 R20=77058700475792324169
APRCL main test (3 45) done: p=5 q=661 k=1 g=2 h=3 R20=8591260251171310607
APRCL main test (3 46) done: p=5 q=881 k=1 g=3 h=4 R20=64720591462208214402
APRCL main test (3 47) done: p=5 q=991 k=1 g=6 h=0 R20=90227882312038303244
APRCL main test (3 48) done: p=5 q=1321 k=1 g=13 h=4 R20=83577796635254884086
APRCL main test (3 49) done: p=5 q=2311 k=1 g=3 h=4 R20=54404665473807636448
APRCL main test (3 51) done: p=5 q=2971 k=1 g=10 h=0 R20=69763528278935999546
APRCL main test (3 54) done: p=5 q=4621 k=1 g=2 h=3 R20=44613783625561523298
APRCL main test (3 56) done: p=5 q=9241 k=1 g=13 h=3 R20=49187296257231468895
APRCL main test (3 58) done: p=5 q=18481 k=1 g=13 h=4 R20=75919121642590136905
APRCL main test (3 59) done: p=5 q=23761 k=1 g=7 h=1 R20=98917726467443811128
APRCL main test (3 60) done: p=5 q=101 k=2 g=2 h=22 R20=89432185639969836658
APRCL main test (3 61) done: p=5 q=151 k=2 g=6 h=3 R20=8197367003055516254
APRCL main test (3 62) done: p=5 q=401 k=2 g=3 h=24 R20=11801662785653857916
APRCL main test (3 63) done: p=5 q=601 k=2 g=7 h=1 R20=53542193130970557594
APRCL main test (3 64) done: p=5 q=701 k=2 g=2 h=8 R20=36358120185116492275
APRCL main test (3 65) done: p=5 q=1051 k=2 g=7 h=3 R20=38933073358783993184
APRCL main test (3 66) done: p=5 q=1201 k=2 g=11 h=6 R20=48706859214082380951
APRCL main test (3 67) done: p=5 q=1801 k=2 g=11 h=4 R20=26885431602968916243
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=1 R20=79245867848702356485
APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=2 R20=96167810689322722738
APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=4 R20=90191958860839032163
APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=3 R20=30973606256423317224
APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=1 R20=11409528511051598899
APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=0 R20=72982831727508574417
APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=1 R20=9925150597983650368
APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=3 R20=15876970869985942013
APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=3 R20=1837007477832141399
APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=4 R20=81012903668842576908
APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=4 R20=33772962624688569915
APRCL main test (4 27) done: p=7 q=1009 k=1 g=11 h=0 R20=76047439068546180322
APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=1 R20=27163139218231567271
APRCL main test (4 33) done: p=7 q=757 k=1 g=2 h=6 R20=30767231804528881184
APRCL main test (4 35) done: p=7 q=7561 k=1 g=13 h=5 R20=39671364446011587416
APRCL main test (4 36) done: p=7 q=15121 k=1 g=11 h=4 R20=24994814610755235313
APRCL main test (4 43) done: p=7 q=463 k=1 g=3 h=5 R20=19012110919204684178
APRCL main test (4 44) done: p=7 q=617 k=1 g=3 h=6 R20=18551682236932463120
APRCL main test (4 49) done: p=7 q=2311 k=1 g=3 h=1 R20=68978123963947434819
APRCL main test (4 52) done: p=7 q=3697 k=1 g=5 h=5 R20=44017730546952032058
APRCL main test (4 53) done: p=7 q=4159 k=1 g=3 h=1 R20=89106186949181190049
APRCL main test (4 54) done: p=7 q=4621 k=1 g=2 h=2 R20=35406561918646179529
APRCL main test (4 55) done: p=7 q=8317 k=1 g=6 h=6 R20=74661715866799039039
APRCL main test (4 56) done: p=7 q=9241 k=1 g=13 h=6 R20=22064435042549752437
APRCL main test (4 57) done: p=7 q=16633 k=1 g=15 h=4 R20=19003092996129354911
APRCL main test (4 58) done: p=7 q=18481 k=1 g=13 h=4 R20=73722624282572567275
APRCL main test (4 64) done: p=7 q=701 k=1 g=2 h=6 R20=87408007927323663264
APRCL main test (4 65) done: p=7 q=1051 k=1 g=7 h=6 R20=81924397280881592895
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=9 R20=25390426898455208611
APRCL main test (5 38) done: p=11 q=67 k=1 g=2 h=5 R20=38406296930556963862
APRCL main test (5 39) done: p=11 q=89 k=1 g=3 h=3 R20=63705585085350822692
APRCL main test (5 40) done: p=11 q=199 k=1 g=3 h=7 R20=99730671113031749887
APRCL main test (5 41) done: p=11 q=331 k=1 g=3 h=7 R20=86195086549059260008
APRCL main test (5 42) done: p=11 q=397 k=1 g=5 h=8 R20=35410155770865596985
APRCL main test (5 43) done: p=11 q=463 k=1 g=3 h=7 R20=56778295958046318619
APRCL main test (5 44) done: p=11 q=617 k=1 g=3 h=3 R20=63723237977343303744
APRCL main test (5 45) done: p=11 q=661 k=1 g=2 h=2 R20=65787107403873592382
APRCL main test (5 46) done: p=11 q=881 k=1 g=3 h=0 R20=12074884696468742174
APRCL main test (5 47) done: p=11 q=991 k=1 g=6 h=4 R20=86780474470586827392
APRCL main test (5 48) done: p=11 q=1321 k=1 g=13 h=7 R20=90140732583121889347
APRCL main test (5 49) done: p=11 q=2311 k=1 g=3 h=10 R20=24812483954058416924
APRCL main test (5 50) done: p=11 q=2377 k=1 g=5 h=3 R20=80917014396979279376
APRCL main test (5 51) done: p=11 q=2971 k=1 g=10 h=1 R20=52168732436161005455
APRCL main test (5 52) done: p=11 q=3697 k=1 g=5 h=10 R20=85012089841094582874
APRCL main test (5 53) done: p=11 q=4159 k=1 g=3 h=9 R20=48612170909325157429
APRCL main test (5 54) done: p=11 q=4621 k=1 g=2 h=1 R20=49902098220363503801
APRCL main test (5 55) done: p=11 q=8317 k=1 g=6 h=0 R20=29746636404911171415
APRCL main test (5 56) done: p=11 q=9241 k=1 g=13 h=3 R20=63019704722229653853
APRCL main test (5 57) done: p=11 q=16633 k=1 g=15 h=1 R20=51699086020649560272
APRCL main test (5 58) done: p=11 q=18481 k=1 g=13 h=4 R20=92301053305168726089
APRCL main test (5 59) done: p=11 q=23761 k=1 g=7 h=0 R20=1981953958475501940
APRCL tests for p=11 completed
Main divisor test: F1=0.0017 F2=0.0363 G=0.5086 S=0.4705 T=831600
G=31851870365310591406694480972773554170147792788423727753115424067263597796970488167359916740702963184962459567904498489259304467295726373774110433369973028266509729953894046118959500
Main divisor test passed: 831600/831600
*** N is prime!
Time: 390 sec

(79*10^537-97)/99


*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(79*10^537-97)/99
N=797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797979797
Factor: 2^2 divides N - 1
Factor: 2 divides N + 1
Factor: 3 divides N + 1
Factor: 7 divides N + 1
Factor: 11^2 divides N + 1
Factor: 17 divides N - 1
Factorization results: F1=0.0034 F2=0.0069
F1=68
F2=5082
Pass: gcd(3^((N-1)/2) - 1, N) = 1: R20=97979797979797979795
Pass: 3^(N-1) = 1 (mod N): R20=1
Fail: gcd(U{(N+1)/2}, N) not = 1: d=5 p=1 q=-1 R20=0
Fail: gcd(U{(N+1)/2}, N) not = 1: d=5 p=3 q=1 R20=0
Pass: gcd(U{(N+1)/2}, N) = 1: d=5 p=5 q=5 R20=2
Pass: U{N+1} = 0 (mod N): d=5 p=5 q=5 R20=0
Pass: gcd(U{(N+1)/3}, N) = 1: d=5 p=5 q=5 R20=57672097422147501413
Pass: gcd(U{(N+1)/7}, N) = 1: d=5 p=5 q=5 R20=24510756947025316158
Pass: gcd(U{(N+1)/11}, N) = 1: d=5 p=5 q=5 R20=97683955244299363677
Pass: gcd(3^((N-1)/17) - 1, N) = 1: R20=32416188061563660305
BLS tests passed: F1=0.0034 F2=0.0069
APRCL test
T=21621600
S=271393809067233207825498745841771549800778989519231801980521116743382067132010681013349009836081719616475906363726990392115526143125885346316438415492187200951518096892859610830089071373578882405313374146680928906509419796749402505932347982684382558590527900656375
APRCL main test (1) at level 11 for p=2
APRCL L_2 condition satisfied
APRCL main test (1 2) done: p=2 q=3 k=1 g=2 h=1 R20=97979797979797979796
APRCL main test (1 3) done: p=2 q=5 k=2 g=2 h=3 R20=0
APRCL main test (1 4) for p=2 q=7 not needed
APRCL main test (1 5) done: p=2 q=13 k=2 g=2 h=2 R20=97979797979797979795
APRCL main test (1 6) for p=2 q=11 not needed
APRCL main test (1 7) done: p=2 q=31 k=1 g=3 h=1 R20=97979797979797979796
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=97979797979797979796
APRCL main test (1 10) done: p=2 q=37 k=2 g=2 h=3 R20=0
APRCL main test (1 11) done: p=2 q=181 k=2 g=2 h=2 R20=97979797979797979795
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=0 R20=1
APRCL main test (1 15) done: p=2 q=127 k=1 g=3 h=1 R20=97979797979797979796
APRCL main test (1 16) done: p=2 q=211 k=1 g=2 h=1 R20=97979797979797979796
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=2 R20=82631841958196876394
APRCL main test (1 20) done: p=2 q=73 k=3 g=5 h=5 R20=93276357425721465557
APRCL main test (1 21) done: p=2 q=281 k=3 g=3 h=6 R20=25646945250608021449
APRCL main test (1 22) done: p=2 q=2521 k=3 g=17 h=5 R20=73636606168934784383
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=9 R20=95797178772255774946
APRCL main test (1 25) done: p=2 q=241 k=4 g=7 h=8 R20=53878337296275853527
APRCL main test (1 26) done: p=2 q=337 k=4 g=10 h=3 R20=52487480430232479272
APRCL main test (1 27) done: p=2 q=1009 k=4 g=11 h=5 R20=40037713148878379437
APRCL main test (1 28) done: p=2 q=109 k=2 g=6 h=2 R20=97979797979797979795
APRCL main test (1 29) done: p=2 q=271 k=1 g=6 h=1 R20=97979797979797979796
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=68723815946719620689
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=12 R20=62827832095810047790
APRCL main test (1 35) done: p=2 q=7561 k=3 g=13 h=2 R20=43643788196579825984
APRCL main test (1 36) done: p=2 q=15121 k=4 g=11 h=14 R20=80557390622723900524
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=85755280944466169775
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=97979797979797979796
APRCL main test (1 44) done: p=2 q=617 k=3 g=3 h=3 R20=54225477732285311951
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=13 R20=33886861594451031131
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=2 R20=24923183173875698858
APRCL main test (1 49) done: p=2 q=2311 k=1 g=3 h=1 R20=97979797979797979796
APRCL main test (1 50) done: p=2 q=2377 k=3 g=5 h=7 R20=90688428738088395030
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=9 R20=30844904446101442629
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=3 R20=0
APRCL main test (1 55) done: p=2 q=8317 k=2 g=6 h=2 R20=97979797979797979795
APRCL main test (1 56) done: p=2 q=9241 k=3 g=13 h=0 R20=11928644623521757026
APRCL main test (1 57) done: p=2 q=16633 k=3 g=15 h=4 R20=38081317158274033531
APRCL main test (1 58) done: p=2 q=18481 k=4 g=13 h=14 R20=17332150851382987470
APRCL main test (1 59) done: p=2 q=23761 k=4 g=7 h=0 R20=6844906245099803976
APRCL main test (1 60) done: p=2 q=101 k=2 g=2 h=3 R20=0
APRCL main test (1 61) done: p=2 q=151 k=1 g=6 h=1 R20=97979797979797979796
APRCL main test (1 62) done: p=2 q=401 k=4 g=3 h=12 R20=32238615844858172633
APRCL main test (1 63) done: p=2 q=601 k=3 g=7 h=5 R20=97293735780784058993
APRCL main test (1 64) done: p=2 q=701 k=2 g=2 h=3 R20=0
APRCL main test (1 65) done: p=2 q=1051 k=1 g=7 h=0 R20=1
APRCL main test (1 66) done: p=2 q=1201 k=4 g=11 h=0 R20=52531883382075303307
APRCL main test (1 67) done: p=2 q=1801 k=3 g=11 h=7 R20=27674554464853191541
APRCL main test (1 68) done: p=2 q=2801 k=4 g=3 h=12 R20=7122747661597458887
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=97979797979797979796
APRCL main test (1 71) done: p=2 q=4201 k=3 g=11 h=3 R20=69591199889356302728
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=0 R20=2
APRCL main test (1 74) done: p=2 q=9901 k=2 g=2 h=3 R20=0
APRCL main test (1 75) done: p=2 q=11551 k=1 g=7 h=1 R20=97979797979797979796
APRCL main test (1 76) done: p=2 q=12601 k=3 g=11 h=2 R20=5189351813325243579
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=7 R20=71495456670259468287
APRCL main test (1 79) done: p=2 q=19801 k=3 g=13 h=0 R20=91183365126607595244
APRCL main test (1 80) done: p=2 q=97 k=5 g=5 h=11 R20=81264526435511493536
APRCL main test (1 81) done: p=2 q=353 k=5 g=3 h=25 R20=57863074151274572498
APRCL main test (1 82) done: p=2 q=673 k=5 g=5 h=25 R20=20033096542819694465
APRCL main test (1 83) done: p=2 q=2017 k=5 g=5 h=10 R20=47314678770328822988
APRCL main test (1 84) done: p=2 q=3169 k=5 g=7 h=5 R20=48934860403632205926
APRCL main test (1 85) done: p=2 q=3361 k=5 g=22 h=10 R20=10194407278312982342
APRCL main test (1 86) done: p=2 q=5281 k=5 g=7 h=18 R20=92098363786536324651
APRCL main test (1 87) done: p=2 q=7393 k=5 g=5 h=16 R20=37014817507251748474
APRCL main test (1 88) done: p=2 q=21601 k=5 g=7 h=27 R20=20079417895050802782
APRCL main test (1 89) done: p=2 q=30241 k=5 g=11 h=24 R20=60365958532389335131
APRCL main test (1 90) done: p=2 q=53 k=2 g=2 h=0 R20=2
APRCL main test (1 91) done: p=2 q=79 k=1 g=3 h=1 R20=97979797979797979796
APRCL main test (1 92) done: p=2 q=131 k=1 g=2 h=0 R20=1
APRCL main test (1 93) done: p=2 q=157 k=2 g=5 h=1 R20=0
APRCL main test (1 94) done: p=2 q=313 k=3 g=10 h=1 R20=40004267907082587152
APRCL main test (1 95) done: p=2 q=521 k=3 g=3 h=1 R20=10237207788781277351
APRCL main test (1 96) done: p=2 q=547 k=1 g=2 h=0 R20=1
APRCL tests for p=2 completed
APRCL main test (2) at level 11 for p=3
APRCL L_3 condition satisfied
APRCL main test (2 4) for p=3 q=7 not needed
APRCL main test (2 5) done: p=3 q=13 k=1 g=2 h=1 R20=22766122766122766123
APRCL main test (2 7) done: p=3 q=31 k=1 g=3 h=1 R20=70446399478657543173
APRCL main test (2 8) done: p=3 q=61 k=1 g=2 h=0 R20=37787713197549263122
APRCL main test (2 9) done: p=3 q=19 k=2 g=2 h=7 R20=82011542749259617607
APRCL main test (2 10) done: p=3 q=37 k=2 g=2 h=2 R20=96432869551934562891
APRCL main test (2 11) done: p=3 q=181 k=2 g=2 h=3 R20=50081501421939393850
APRCL main test (2 13) done: p=3 q=43 k=1 g=3 h=0 R20=31289640591966173361
APRCL main test (2 15) done: p=3 q=127 k=2 g=3 h=7 R20=72383316277011938419
APRCL main test (2 16) done: p=3 q=211 k=1 g=2 h=0 R20=64971994829814735028
APRCL main test (2 17) done: p=3 q=421 k=1 g=2 h=1 R20=59881475083375320904
APRCL main test (2 18) done: p=3 q=631 k=2 g=3 h=0 R20=1091808195327162606
APRCL main test (2 20) done: p=3 q=73 k=2 g=5 h=3 R20=82639568372839669466
APRCL main test (2 22) done: p=3 q=2521 k=2 g=17 h=2 R20=15618770669086246784
APRCL main test (2 25) done: p=3 q=241 k=1 g=7 h=1 R20=35952889894798608491
APRCL main test (2 26) done: p=3 q=337 k=1 g=10 h=2 R20=48919461679105596019
APRCL main test (2 27) done: p=3 q=1009 k=2 g=11 h=8 R20=19527208967333259394
APRCL main test (2 28) done: p=3 q=109 k=3 g=6 h=18 R20=39178945064646469437
APRCL main test (2 29) done: p=3 q=271 k=3 g=6 h=3 R20=20678043190299926064
APRCL main test (2 30) done: p=3 q=379 k=3 g=2 h=13 R20=43662232834283780601
APRCL main test (2 31) done: p=3 q=433 k=3 g=5 h=24 R20=44566662738873291575
APRCL main test (2 32) done: p=3 q=541 k=3 g=2 h=26 R20=11917435963645587690
APRCL main test (2 33) done: p=3 q=757 k=3 g=2 h=24 R20=99482288696683021728
APRCL main test (2 34) done: p=3 q=2161 k=3 g=23 h=10 R20=99141770328775308390
APRCL main test (2 35) done: p=3 q=7561 k=3 g=13 h=11 R20=56922451500585037428
APRCL main test (2 36) done: p=3 q=15121 k=3 g=11 h=26 R20=45679511552964136264
APRCL main test (2 38) done: p=3 q=67 k=1 g=2 h=0 R20=21875471129202472486
APRCL main test (2 40) done: p=3 q=199 k=2 g=3 h=3 R20=72115495409689163235
APRCL main test (2 41) done: p=3 q=331 k=1 g=3 h=0 R20=19872440416247062772
APRCL main test (2 42) done: p=3 q=397 k=2 g=5 h=7 R20=50507923631412132984
APRCL main test (2 43) done: p=3 q=463 k=1 g=3 h=0 R20=89338307480856076968
APRCL main test (2 45) done: p=3 q=661 k=1 g=2 h=2 R20=19816928742798636898
APRCL main test (2 47) done: p=3 q=991 k=2 g=6 h=3 R20=34320375881666225578
APRCL main test (2 48) done: p=3 q=1321 k=1 g=13 h=2 R20=51050245069927128973
APRCL main test (2 49) done: p=3 q=2311 k=1 g=3 h=0 R20=25225426047580958874
APRCL main test (2 50) done: p=3 q=2377 k=3 g=5 h=3 R20=32038869542246860758
APRCL main test (2 51) done: p=3 q=2971 k=3 g=10 h=11 R20=4389128689934965648
APRCL main test (2 52) done: p=3 q=3697 k=1 g=5 h=0 R20=42105665800553547375
APRCL main test (2 53) done: p=3 q=4159 k=3 g=3 h=10 R20=76024890060371526588
APRCL main test (2 54) done: p=3 q=4621 k=1 g=2 h=1 R20=77363113935284461144
APRCL main test (2 55) done: p=3 q=8317 k=3 g=6 h=26 R20=72501549653379086294
APRCL main test (2 56) done: p=3 q=9241 k=1 g=13 h=2 R20=327700771375698331
APRCL main test (2 57) done: p=3 q=16633 k=3 g=15 h=9 R20=34480180336013798819
APRCL main test (2 58) done: p=3 q=18481 k=1 g=13 h=0 R20=62696550484007872677
APRCL main test (2 59) done: p=3 q=23761 k=3 g=7 h=21 R20=3267992865699899885
APRCL main test (2 61) done: p=3 q=151 k=1 g=6 h=1 R20=42899190581309786607
APRCL main test (2 63) done: p=3 q=601 k=1 g=7 h=1 R20=53853005932872821391
APRCL main test (2 65) done: p=3 q=1051 k=1 g=7 h=2 R20=64579188651500735230
APRCL main test (2 66) done: p=3 q=1201 k=1 g=11 h=1 R20=72901370070395882219
APRCL main test (2 67) done: p=3 q=1801 k=2 g=11 h=7 R20=47632002239474707350
APRCL main test (2 69) done: p=3 q=3301 k=1 g=6 h=2 R20=34157999259483658150
APRCL main test (2 71) done: p=3 q=4201 k=1 g=11 h=0 R20=59518536952481251457
APRCL main test (2 72) done: p=3 q=4951 k=2 g=6 h=4 R20=48393346798764159511
APRCL main test (2 73) done: p=3 q=6301 k=2 g=10 h=2 R20=43648044938652473504
APRCL main test (2 74) done: p=3 q=9901 k=2 g=2 h=4 R20=9184014158715986264
APRCL main test (2 75) done: p=3 q=11551 k=1 g=7 h=2 R20=97447770056202226577
APRCL main test (2 76) done: p=3 q=12601 k=2 g=11 h=0 R20=28422587531411380030
APRCL main test (2 77) done: p=3 q=14851 k=3 g=2 h=14 R20=50587279621296216919
APRCL main test (2 79) done: p=3 q=19801 k=2 g=13 h=1 R20=12456589816853549520
APRCL main test (2 80) done: p=3 q=97 k=1 g=5 h=1 R20=603977923565552431
APRCL main test (2 82) done: p=3 q=673 k=1 g=5 h=1 R20=62645774235670223783
APRCL main test (2 83) done: p=3 q=2017 k=2 g=5 h=0 R20=38516011207064532562
APRCL main test (2 84) done: p=3 q=3169 k=2 g=7 h=5 R20=61329533097297704067
APRCL main test (2 85) done: p=3 q=3361 k=1 g=22 h=1 R20=95469421979389251034
APRCL main test (2 86) done: p=3 q=5281 k=1 g=7 h=1 R20=27389019909375902559
APRCL main test (2 87) done: p=3 q=7393 k=1 g=5 h=0 R20=90636378665595492323
APRCL main test (2 88) done: p=3 q=21601 k=3 g=7 h=17 R20=78203729192332222599
APRCL main test (2 89) done: p=3 q=30241 k=3 g=11 h=10 R20=60869773443400366318
APRCL main test (2 91) done: p=3 q=79 k=1 g=3 h=1 R20=43434343434343434343
APRCL main test (2 93) done: p=3 q=157 k=1 g=5 h=1 R20=30708357459949816637
APRCL main test (2 94) done: p=3 q=313 k=1 g=10 h=0 R20=78558750443734469293
APRCL main test (2 96) done: p=3 q=547 k=1 g=2 h=2 R20=17788488172400421029
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=2 R20=40553295704180199497
APRCL main test (3 8) done: p=5 q=61 k=1 g=2 h=1 R20=20073619831749366820
APRCL main test (3 11) done: p=5 q=181 k=1 g=2 h=3 R20=85573139286395902494
APRCL main test (3 14) done: p=5 q=71 k=1 g=7 h=3 R20=13883328424094145181
APRCL main test (3 16) done: p=5 q=211 k=1 g=2 h=1 R20=444529752047552636
APRCL main test (3 17) done: p=5 q=421 k=1 g=2 h=3 R20=37098440239361358064
APRCL main test (3 18) done: p=5 q=631 k=1 g=3 h=3 R20=76337210324466735817
APRCL main test (3 19) done: p=5 q=41 k=1 g=6 h=4 R20=96266051352309531964
APRCL main test (3 21) done: p=5 q=281 k=1 g=3 h=1 R20=18520343568151979899
APRCL main test (3 22) done: p=5 q=2521 k=1 g=17 h=1 R20=80923776313647763953
APRCL main test (3 25) done: p=5 q=241 k=1 g=7 h=3 R20=50588545881326653007
APRCL main test (3 29) done: p=5 q=271 k=1 g=6 h=1 R20=95203062060811819121
APRCL main test (3 32) done: p=5 q=541 k=1 g=2 h=1 R20=17443571739204185451
APRCL main test (3 34) done: p=5 q=2161 k=1 g=23 h=3 R20=80530183259929651785
APRCL main test (3 35) done: p=5 q=7561 k=1 g=13 h=1 R20=12731915221453163013
APRCL main test (3 36) done: p=5 q=15121 k=1 g=11 h=4 R20=31478219703536998421
APRCL main test (3 41) done: p=5 q=331 k=1 g=3 h=1 R20=65725749015423260820
APRCL main test (3 45) done: p=5 q=661 k=1 g=2 h=1 R20=21282780959015335481
APRCL main test (3 46) done: p=5 q=881 k=1 g=3 h=2 R20=81621376612493146305
APRCL main test (3 47) done: p=5 q=991 k=1 g=6 h=1 R20=95226899087578603830
APRCL main test (3 48) done: p=5 q=1321 k=1 g=13 h=2 R20=94494322870790816243
APRCL main test (3 49) done: p=5 q=2311 k=1 g=3 h=1 R20=75686792744714324965
APRCL main test (3 51) done: p=5 q=2971 k=1 g=10 h=2 R20=21970612708499569722
APRCL main test (3 54) done: p=5 q=4621 k=1 g=2 h=4 R20=13756894615250340159
APRCL main test (3 56) done: p=5 q=9241 k=1 g=13 h=3 R20=9171726711577281534
APRCL main test (3 58) done: p=5 q=18481 k=1 g=13 h=4 R20=7548719402663137277
APRCL main test (3 59) done: p=5 q=23761 k=1 g=7 h=2 R20=45409161289626194757
APRCL main test (3 60) done: p=5 q=101 k=2 g=2 h=22 R20=83078172161426568696
APRCL main test (3 61) done: p=5 q=151 k=2 g=6 h=20 R20=71090082698572818551
APRCL main test (3 62) done: p=5 q=401 k=2 g=3 h=4 R20=7822090083347055881
APRCL main test (3 63) done: p=5 q=601 k=2 g=7 h=8 R20=75336460938919093836
APRCL main test (3 64) done: p=5 q=701 k=2 g=2 h=6 R20=75475638773523002367
APRCL main test (3 65) done: p=5 q=1051 k=2 g=7 h=15 R20=44944470369570074009
APRCL main test (3 66) done: p=5 q=1201 k=2 g=11 h=15 R20=91446616137428664762
APRCL main test (3 67) done: p=5 q=1801 k=2 g=11 h=9 R20=95050832335951536145
APRCL main test (3 68) done: p=5 q=2801 k=2 g=3 h=24 R20=27757004431785063368
APRCL main test (3 69) done: p=5 q=3301 k=2 g=6 h=11 R20=84594534696975721183
APRCL main test (3 70) done: p=5 q=3851 k=2 g=2 h=17 R20=55068646932640846869
APRCL main test (3 71) done: p=5 q=4201 k=2 g=11 h=17 R20=32292441251835304932
APRCL main test (3 72) done: p=5 q=4951 k=2 g=6 h=21 R20=52376091512609747919
APRCL main test (3 73) done: p=5 q=6301 k=2 g=10 h=7 R20=37294258198293016162
APRCL main test (3 74) done: p=5 q=9901 k=2 g=2 h=17 R20=91631772286545210916
APRCL main test (3 75) done: p=5 q=11551 k=2 g=7 h=14 R20=84449362878420015841
APRCL main test (3 76) done: p=5 q=12601 k=2 g=11 h=20 R20=61458306438514709638
APRCL main test (3 77) done: p=5 q=14851 k=2 g=2 h=7 R20=16934564023953410674
APRCL main test (3 78) done: p=5 q=15401 k=2 g=6 h=0 R20=33066280588550950079
APRCL main test (3 79) done: p=5 q=19801 k=2 g=13 h=8 R20=43615973972284190543
APRCL main test (3 85) done: p=5 q=3361 k=1 g=22 h=2 R20=83222745482776868216
APRCL main test (3 86) done: p=5 q=5281 k=1 g=7 h=3 R20=32727365686105167292
APRCL main test (3 88) done: p=5 q=21601 k=2 g=7 h=7 R20=43245103413711064651
APRCL main test (3 89) done: p=5 q=30241 k=1 g=11 h=2 R20=16442619012426705490
APRCL main test (3 92) done: p=5 q=131 k=1 g=2 h=4 R20=36275463686453721999
APRCL main test (3 95) done: p=5 q=521 k=1 g=3 h=4 R20=27438025392276960757
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=2 R20=86046517730298858607
APRCL main test (4 13) done: p=7 q=43 k=1 g=3 h=1 R20=3393306254838157165
APRCL main test (4 14) done: p=7 q=71 k=1 g=7 h=5 R20=81066942923428802010
APRCL main test (4 15) done: p=7 q=127 k=1 g=3 h=5 R20=35097935214254742254
APRCL main test (4 16) done: p=7 q=211 k=1 g=2 h=1 R20=61742735639478599720
APRCL main test (4 17) done: p=7 q=421 k=1 g=2 h=0 R20=66722320036544591108
APRCL main test (4 18) done: p=7 q=631 k=1 g=3 h=6 R20=63487933981717203672
APRCL main test (4 21) done: p=7 q=281 k=1 g=3 h=0 R20=82884154159461270467
APRCL main test (4 22) done: p=7 q=2521 k=1 g=17 h=0 R20=15199646810046156653
APRCL main test (4 24) done: p=7 q=113 k=1 g=3 h=4 R20=84935123512007682840
APRCL main test (4 26) done: p=7 q=337 k=1 g=10 h=0 R20=12465950427714855907
APRCL main test (4 27) done: p=7 q=1009 k=1 g=11 h=4 R20=80224619109854778715
APRCL main test (4 30) done: p=7 q=379 k=1 g=2 h=5 R20=87922035458813165402
APRCL main test (4 33) done: p=7 q=757 k=1 g=2 h=2 R20=77329448895026822469
APRCL main test (4 35) done: p=7 q=7561 k=1 g=13 h=2 R20=87623554962620758914
APRCL main test (4 36) done: p=7 q=15121 k=1 g=11 h=6 R20=2835348114789667686
APRCL main test (4 43) done: p=7 q=463 k=1 g=3 h=2 R20=16174656226206870957
APRCL main test (4 44) done: p=7 q=617 k=1 g=3 h=1 R20=81467619824258418914
APRCL main test (4 49) done: p=7 q=2311 k=1 g=3 h=4 R20=5310934177622003914
APRCL main test (4 52) done: p=7 q=3697 k=1 g=5 h=2 R20=51248803640494285075
APRCL main test (4 53) done: p=7 q=4159 k=1 g=3 h=1 R20=98163928590074379290
APRCL main test (4 54) done: p=7 q=4621 k=1 g=2 h=3 R20=26917588349670589504
APRCL main test (4 55) done: p=7 q=8317 k=1 g=6 h=4 R20=64793546978382216918
APRCL main test (4 56) done: p=7 q=9241 k=1 g=13 h=4 R20=98324929051856671461
APRCL main test (4 57) done: p=7 q=16633 k=1 g=15 h=3 R20=38325879893519692005
APRCL main test (4 58) done: p=7 q=18481 k=1 g=13 h=6 R20=6327668523458840674
APRCL main test (4 64) done: p=7 q=701 k=1 g=2 h=2 R20=88321115952316485289
APRCL main test (4 65) done: p=7 q=1051 k=1 g=7 h=5 R20=28208091009283714514
APRCL main test (4 68) done: p=7 q=2801 k=1 g=3 h=5 R20=46445493879702397974
APRCL main test (4 70) done: p=7 q=3851 k=1 g=2 h=3 R20=12710938411827890544
APRCL main test (4 71) done: p=7 q=4201 k=1 g=11 h=6 R20=85821683915077715942
APRCL main test (4 73) done: p=7 q=6301 k=1 g=10 h=0 R20=52599411281073904122
APRCL main test (4 75) done: p=7 q=11551 k=1 g=7 h=1 R20=44805491086199835252
APRCL main test (4 76) done: p=7 q=12601 k=1 g=11 h=3 R20=1770695716964891409
APRCL main test (4 78) done: p=7 q=15401 k=1 g=6 h=3 R20=57592825849319735380
APRCL main test (4 82) done: p=7 q=673 k=1 g=5 h=4 R20=64577071639304992536
APRCL main test (4 83) done: p=7 q=2017 k=1 g=5 h=6 R20=66168220649313019010
APRCL main test (4 85) done: p=7 q=3361 k=1 g=22 h=5 R20=12339928102341199013
APRCL main test (4 87) done: p=7 q=7393 k=1 g=5 h=1 R20=80653255387341247793
APRCL main test (4 89) done: p=7 q=30241 k=1 g=11 h=2 R20=16253815439605423725
APRCL main test (4 96) done: p=7 q=547 k=1 g=2 h=6 R20=21261993228377363308
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=10 R20=57946263276040804415
APRCL main test (5 38) done: p=11 q=67 k=1 g=2 h=1 R20=40079256430212158552
APRCL main test (5 39) done: p=11 q=89 k=1 g=3 h=0 R20=78217479769247636113
APRCL main test (5 40) done: p=11 q=199 k=1 g=3 h=2 R20=43148438138260406127
APRCL main test (5 41) done: p=11 q=331 k=1 g=3 h=7 R20=51217227190888538004
APRCL main test (5 42) done: p=11 q=397 k=1 g=5 h=10 R20=12683658573640147768
APRCL main test (5 43) done: p=11 q=463 k=1 g=3 h=9 R20=8560538640915645358
APRCL main test (5 44) done: p=11 q=617 k=1 g=3 h=3 R20=90552990617164659366
APRCL main test (5 45) done: p=11 q=661 k=1 g=2 h=3 R20=21091085436973782439
APRCL main test (5 46) done: p=11 q=881 k=1 g=3 h=9 R20=12359310345907336021
APRCL main test (5 47) done: p=11 q=991 k=1 g=6 h=9 R20=45999965140369108461
APRCL main test (5 48) done: p=11 q=1321 k=1 g=13 h=3 R20=13162464842350459802
Parameters saved: 2 21621600 5 49 1 1 1804
APRCL main test (5 49) done: p=11 q=2311 k=1 g=3 h=3 R20=80790549437253892957
APRCL main test (5 50) done: p=11 q=2377 k=1 g=5 h=1 R20=15008686801635463368
APRCL main test (5 51) done: p=11 q=2971 k=1 g=10 h=6 R20=31110117437467375018
APRCL main test (5 52) done: p=11 q=3697 k=1 g=5 h=9 R20=61082224403053034544
APRCL main test (5 53) done: p=11 q=4159 k=1 g=3 h=0 R20=14072113866453166049
APRCL main test (5 54) done: p=11 q=4621 k=1 g=2 h=6 R20=88881802308800569920
APRCL main test (5 55) done: p=11 q=8317 k=1 g=6 h=8 R20=72980323346191445702
APRCL main test (5 56) done: p=11 q=9241 k=1 g=13 h=5 R20=18134452979831448061
APRCL main test (5 57) done: p=11 q=16633 k=1 g=15 h=7 R20=34550670349864603914
APRCL main test (5 58) done: p=11 q=18481 k=1 g=13 h=8 R20=51043396678790437220
APRCL main test (5 59) done: p=11 q=23761 k=1 g=7 h=10 R20=5197537112861317607
APRCL main test (5 69) done: p=11 q=3301 k=1 g=6 h=0 R20=24792037685367567041
APRCL main test (5 70) done: p=11 q=3851 k=1 g=2 h=3 R20=11109893717250047338
APRCL main test (5 72) done: p=11 q=4951 k=1 g=6 h=3 R20=49529826645089593000
APRCL main test (5 74) done: p=11 q=9901 k=1 g=2 h=9 R20=19047458152125184510
APRCL main test (5 75) done: p=11 q=11551 k=1 g=7 h=7 R20=81325965959414184929
APRCL main test (5 77) done: p=11 q=14851 k=1 g=2 h=9 R20=38216472884055028821
APRCL main test (5 78) done: p=11 q=15401 k=1 g=6 h=7 R20=39703155032472493546
APRCL main test (5 79) done: p=11 q=19801 k=1 g=13 h=2 R20=19337774765336872809
APRCL main test (5 81) done: p=11 q=353 k=1 g=3 h=2 R20=46842345464151467344
APRCL main test (5 84) done: p=11 q=3169 k=1 g=7 h=7 R20=35997950576821670943
APRCL main test (5 86) done: p=11 q=5281 k=1 g=7 h=2 R20=58265705402347364108
APRCL main test (5 87) done: p=11 q=7393 k=1 g=5 h=10 R20=74055579917545624270
APRCL tests for p=11 completed
APRCL main test (6) at level 11 for p=13
APRCL L_13 condition satisfied
APRCL main test (6 90) done: p=13 q=53 k=1 g=2 h=1 R20=14801051844745623275
APRCL main test (6 91) done: p=13 q=79 k=1 g=3 h=2 R20=32813293043605498903
APRCL main test (6 92) done: p=13 q=131 k=1 g=2 h=9 R20=8029612783444975626
APRCL main test (6 93) done: p=13 q=157 k=1 g=5 h=9 R20=99681471146908490158
APRCL main test (6 94) done: p=13 q=313 k=1 g=10 h=2 R20=76472876417679640551
APRCL main test (6 95) done: p=13 q=521 k=1 g=3 h=7 R20=18399780066464700205
APRCL main test (6 96) done: p=13 q=547 k=1 g=2 h=2 R20=3325346497661387547
APRCL tests for p=13 completed
Main divisor test: F1=0.0034 F2=0.0063 G=0.5004 S=0.4907 T=21621600
G=46893593481109091513752277296508022546977000041049024600610282719855500615605861550934548711556888169091638908775659215872857531218435477219324760936064042078010908925923426436109430464497947933049287292056704343897949627840735760195038543232069093533740134898613723500
Main divisor test passed: 21621600/21621600
*** N is prime!
Time: 3283 sec

(79*10^1677-97)/99

== ID:B264E00986188 =============================================

PRIMO 0.1.0 - Primality Certificate

Started 08.05.2001 02:46:26 AM
Running time 14h 39mn 52s

Candidate certified prime

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

Proved prime with 'Primo' by Hans Rosenthal.
The zipped file "797_838.zip" is 286 KB.
When unpacked the file "Primo-B264E00986188-001.out" is 668 KB
and is available on demand by simple email request.

(79*10^3057-97)/99

== ID:B268103F37638 =============================================

PRIMO 1.0.0 - Primality Certificate

Started 09.11.2001 09:30:55 PM
Running time 341h 1mn 5s

Candidate certified prime

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

Proved prime with 'Primo' by Hans Rosenthal.
The zipped file "797_1528.zip" is 996 KB.
When unpacked the file "Primo-B268103F37638-S.out" is 2278 KB.
and is available on demand by simple email request.

(79*10^51663-97)/99

By Ray Chandler

PFGW Version 3.4.2.64BIT.20101019.Win_Dev [GWNUM 26.4] 
 
Primality testing (79*10^51663-97)/99 [N-1/N+1, Brillhart-Lehmer-Selfridge] 
Running N-1 test using base 2 
Running N+1 test using discriminant 5, base 5+sqrt(5) 
Calling N+1 BLS with factored part 0.04% and helper 0.00% (0.12% proof) 
(79*10^51663-97)/99 is Fermat and Lucas PRP! (704.4224s+0.0014s)

(79*10^66447-97)/99

By Ray Chandler

PFGW Version 3.4.4.64BIT.20101104.Win_Dev [GWNUM 26.4]

Primality testing (79*10^66447-97)/99 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 5+sqrt(5)
Calling N+1 BLS with factored part 0.01% and helper 0.00% (0.04% proof)
(79*10^66447-97)/99 is Fermat and Lucas PRP! (1396.2141s+0.0021s)

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Patrick De Geest - Belgium

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