is 2 31247507 - 1
has 9406437 decimal digits
takes 34.394 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8E5013FAE9D5BB8Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual274122.437566.2162 %1000000300000004.11774.5135 %126.555267.7411 %
Target27115.299764.7887 %220000325000003.15803.6925 %18.457866.0889 %
Difference+3+107.1377+1.4275 %+780000-2500000+0.9597+0.8210%+108.0974+1.6521 %

Known prime factors (1 factor, 78.8 bits, 0.00025211% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
312475075178470170599128975821192478.7778286213313911937
89 × 6073 × 13879 × 1104599
2021-09-091387911045993,730.30.11700.1794

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2007-01-16ANONYMOUSv4_computers475000475000--0.7581.871%
2021-09-09Sid & AndyPterodactyl10000003000000022478.7774.1185.930%


Trial Factoring results:
575859606162636465666768697071727374
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-01-14Jossv4_computers212521.92000e-5
2001-08-31Net_Forcev4_computers212560.000
2003-06-06Jossv4_computers212580.001
2003-07-06ANONYMOUSv4_computers212590.001
2005-11-27Team Prime Ribv4_computers212670.478
2007-01-16ANONYMOUSv4_computers212680.957
2012-06-30Oscar ÖstlinManual testing2682691.913
2013-02-21apsenManual testing2692703.826
2018-04-22ramgeisManual testing2702717.653
2019-12-20ANONYMOUSManual testing27127345.92
2020-04-08ANONYMOUSManual testing27327461.22


ECM factoring results:
No ECM results for M31247507


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2007-02-20ANONYMOUSv4_computers8E5013FAE9D5BB8D34.39
2013-05-19ANONYMOUSv4_computers8E5013FAE9D5BB8D36.98


PRP results:
No PRP results for M31247507


CERT results:
No CERT results for M31247507


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 475000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
274
273
271
270
269
268
267
259
258
256
252
this exponent TF target: 71
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00