is 2 31054391 - 1
has 9348304 decimal digits
takes 34.181 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB72D9CAD68C6D2A3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27115.394964.7887%28500014250000.55402.6612%15.948965.7258%0.9371%
PrimeNet2670.956862.6866%14000050000000.64604.9832%1.602964.5460%1.8594%
GPU7227115.394964.7887%22000065000000.89723.6895%16.292166.0878%1.2991%
Difference---+65000-5075000-0.3432-1.0282%-0.3432-0.3621%-0.3621%

Known prime factors (1 factor, 76.9 bits, 0.00024756% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
310543911387808803196027258721192476.8772234480790809949
3 × 11 × 11489 × 13883 × 424519
2021-10-0313883424519820.180.05790.0689

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2006-01-15T00:00:00ANONYMOUSv4_computers2850001425000---0.554--2.661%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-03T00:55:27ATH5960X300000720000027P-12476.8771.245


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-31T00:00:00Net_Forcev4_computers21256--0.000--
2005-09-03T00:00:00ANONYMOUSv4_computers21268--1.919--
2012-05-21T11:58:00apsenManual testing268269--1.925--
2013-02-04T08:09:00Architects CubedManual testing269270--3.850--
2018-04-22T20:57:28ramgeisManual testing270271--7.700--


ECM factoring results:
No ECM results for M31054391


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2006-04-14T00:00:00ANONYMOUSv4_computersB72D9CAD68C6D2A334.18
2013-03-08T10:30:00GrunwalderGIMPLyc-i7B72D9CAD68C6D2A334.18


PRP results:
No PRP results for M31054391


P-1 factor-bounds graph:
B1 = 300000, B2 = 7200000 (P-1 stage 2)
B1 = 285000, B2 = 1425000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 285000 (P-1 stage 1)
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107
TF factor-bounds graph:
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2100
Last modified: 2021-10-03T00:55:27+00:00