is 2 31025003 - 1
has 9339457 decimal digits
takes 34.149 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE85B6DB7B26FB33Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27230.824665.2778%34500043125000.89563.2389%31.720266.4024%1.1246%
PrimeNet2670.957762.6866%14000050000000.64604.9826%1.603864.5458%1.8592%
GPU7227115.409564.7887%22000065000000.89723.6890%16.306766.0877%1.2989%
Difference+1+15.4152+0.4890%+125000-2187500-0.0016-0.4502%+15.4136+0.3147%+0.3147%

Known prime factors (1 factor, 73.4 bits, 0.00023655% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31025003123674532720471363052092373.389199314296150868
22 × 32 × 461 × 3391 × 3541663
2021-09-233391354166391.1240.31310.5752

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2006-07-25T00:00:00ANONYMOUSv4_computers3450004312500---0.896--3.239%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-23T17:24:40ATHec2-P_13000001080000027P-12373.3891.675


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-31T00:00:00Net_Forcev4_computers21256--0.000--
2003-06-30T00:00:00ANONYMOUSv4_computers21259--0.002--
2005-09-22T00:00:00rudimeierv4_computers21267--0.958--
2011-05-24T20:23:00UngelovendeManual testing267268--0.963--
2012-05-08T12:43:00bcp19Manual testing268269--1.927--
2013-03-31T03:25:00GrunwalderGIMPManual testing269270--3.854--
2018-04-22T20:56:48ramgeisManual testing270271--7.708--
2019-06-25T23:18:09LaurVManual testing271272--15.42--


ECM factoring results:
No ECM results for M31025003


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2006-09-04T00:00:00ANONYMOUSv4_computersE85B6DB7B26FB33D34.15


PRP results:
No PRP results for M31025003


P-1 factor-bounds graph:
B1 = 300000, B2 = 10800000 (P-1 stage 2)
B1 = 345000, B2 = 4312500 (P-1 stage 2)
B1 = 345000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
272
271
270
269
268
267
259
256
250
260
270
280
290
2100
Last modified: 2021-09-23T17:24:40+00:00