is 2 901000031 - 1
has 271228036 decimal digits
takes 39,176.816 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-daysProbability
Actual2858,696.709464.7059 %6420000141240000867.88084.0073 %9,564.590266.1202 %
Target2858,696.709464.7059 %500000012000000004,420.11004.2831 %13,116.819466.2176 %
Difference---+1420000-1058760000-3,552.2292-0.2759 %-3,552.2292-0.0974 %

Known prime factors (1 factor, 87.8 bits, 0.00000974% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9010000312662760736546396332982206092787.783147766961427906784
25 × 151 × 1362211 × 22449467
2020-01-0513622112244946734,787158.32174.79

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-01-05Krieselperegrine642000014124000022787.783867.94.007%


Trial Factoring results:
5758596061626364656667686970717273747576777879808182838485
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2023-10-18James HeinrichManual testing267268
2023-10-19James HeinrichManual testing268269
2023-10-19Anton TsvetkovManual testing268269
2009-07-29rudimeierbonnie2692700.133
2009-09-21rudimeierdickie2702710.265
2009-12-19rudimeierhomer2712720.531
2010-03-29rudimeiertreml2722731.062
2010-05-30rudimeiershakti2732742.123
2014-03-18rudimeierurvasi2742754.246
2015-05-27ramgeisManual testing2752768.493
2017-02-05rudimeierotto27627716.99
2017-04-06rudimeierchantico27727833.97
2017-07-06rudimeierhomer27827967.94
2019-04-26KrieselManual testing279280135.9
2019-04-28KrieselManual testing280281271.8
2019-05-02KrieselManual testing281282543.5
2019-05-14KrieselManual testing2822831,087
2019-06-09KrieselManual testing2832842,174
2019-07-19KrieselManual testing2842854,348


ECM factoring results:
No ECM results for M901000031


Lucas-Lehmer results:
No L-L results for M901000031


PRP results:
No PRP results for M901000031


CERT results:
No CERT results for M901000031


P-1 factor-bounds graph:
B1 = 6420000, B2 = 141240000 (P-1 stage 2)
B1 = 6420000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 85
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00