is 2 31062257 - 1
has 9350672 decimal digits
takes 34.190 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA02E6E0BDFD13D05double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27230.787665.2778%34500043125000.89563.2394%31.683366.4026%1.1248%
PrimeNet2670.956662.6866%14000050000000.64604.9834%1.602664.5460%1.8595%
GPU7227115.391064.7887%22000065000000.89723.6896%16.288266.0879%1.2992%
Difference+1+15.3967+0.4890%+125000-2187500-0.0016-0.4502%+15.3951+0.3147%+0.3147%

Known prime factors (1 factor, 73.6 bits, 0.00023697% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31062257143990607709215478079032373.608231777439271743
1327 × 21323 × 8191283
2021-10-03213238191283101.350.74441.3303

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2006-01-15T00:00:00ANONYMOUSv4_computers3450004312500---0.896--3.239%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-03T19:39:41ATHec2-P_1300000630000027P+12373.6081.279


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-31T00:00:00Net_Forcev4_computers21256--0.000--
2005-09-03T00:00:00WileECoyotev4_computers21267--0.957--
2011-05-27T17:57:00UngelovendeManual testing267268--0.962--
2012-06-03T22:41:00bcp19Manual testing268269--1.925--
2013-01-29T00:47:00LaurVManual testing269270--3.849--
2018-04-22T20:57:11ramgeisManual testing270271--7.698--
2019-06-29T10:18:11LaurVManual testing271272--15.40--


ECM factoring results:
No ECM results for M31062257


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2006-05-12T00:00:00ANONYMOUSv4_computersA02E6E0BDFD13D0534.19
2013-11-26T15:10:00WRwr9A02E6E0BDFD13D0534.19


PRP results:
No PRP results for M31062257


P-1 factor-bounds graph:
B1 = 300000, B2 = 6300000 (P+1 stage 2)
B1 = 345000, B2 = 4312500 (P-1 stage 2)
B1 = 345000 (P-1 stage 1)
B1 = 300000 (P+1 stage 1)
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107
TF factor-bounds graph:
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256
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2100
Last modified: 2021-10-03T19:39:41+00:00