is 2 71726471 - 1
has 21591820 decimal digits
takes 191.769 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2716.665361.9718%----6.665361.9718%0.0000%
PrimeNet2703.331461.4286%300000140000004.05675.4829%7.388163.5434%2.1148%
GPU7227453.339763.5135%500000170000005.42344.1156%58.763165.0152%1.5016%
Difference-3-46.6744-1.5417%-500000-17000000-5.4234-4.1156%-52.0978-3.0433%-1.5016%

Known prime factors (4 factors, 195.0 bits, 0.00027190% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
71726471143452943927.0961
1
-112.493e-133.877e-67.890e-6
717264712296602702301911547.7061600945
5 × 29 × 61 × 181
2008-09-29611813.986e-70.00030.0005
71726471244444480224180311754.440170400465
32 × 5 × 3786677
2015-08-07937866774.074e-50.79981.4938
71726471632612489402542858072065.778440989554193
63949 × 6895957
2019-05-016394968959570.14941.69092.7204

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
71726471329454416546961864021132374.802
7172647135066280088263965232152332581.536
7172647190750123383351084673772800012892.874
71726471561391853845638298705679897392131102.147
717264711452859552671818330189886219419913735113.484
71726471154638631155329363602768726310418601737120.218
7172647180533313610382681662842872096834769950339129.243
71726471208416978596435852627084927010930373071019143140.580
7172647122183366740723487343134256737591079975809803145147.314
7172647135514349819159774728216459969091775757566027343924
7
51167.925
7172647150946380002899874719796763236079042695189011393044
713853921
59195.021
P-1 results:
No P-1 results for M71726471


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-29T06:42:00markrManual testing??47.706151.37203e-7394.12.81990e-7
2014-11-23T12:13:00TJAOIManual testing254255*54.440177.27827e-6394.11.49588e-5
2019-05-01T09:28:12TJAOIManual testing265266*65.778200.048393.90.098
2022-11-25T06:49:09LordJuliusManual testing2126727.09692.49338e-13394.15.12458e-13
2022-11-25T06:49:09LordJuliusManual testing2126747.706153.98596e-7394.18.19224e-7
2022-11-25T06:49:09LordJuliusManual testing2126754.440174.07366e-5394.18.37248e-5
2022-11-25T06:49:09LordJuliusManual testing2126765.778200.149393.90.307
2022-11-25T06:49:09LordJuliusManual testing267268--0.417--
2022-11-25T06:49:09LordJuliusManual testing268269--0.833--
2022-11-25T06:49:09LordJuliusManual testing269270--1.667--
2022-11-25T06:49:09LordJuliusManual testing270271--3.334--


ECM factoring results:
No ECM results for M71726471


Lucas-Lehmer results:
No L-L results for M71726471


PRP results:
No PRP results for M71726471


P-1 factor-bounds graph:
100
101
102
103
104
105
100
101
102
103
104
105
106
107
TF factor-bounds graph:
271
270
269
268
267
266
255
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-11-25T06:49:09+00:00