is 2 74823131 - 1
has 22524007 decimal digits
takes 206.863 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
Actual275102.266664.0000 %640000120000005.04683.6153 %107.313465.3015 %
Target27451.132163.5135 %5000008500000020.46024.1371 %71.592365.0230 %
Difference+1+51.1345+0.4865 %+140000-73000000-15.4134-0.5218 %+35.7211+0.2785 %

Known prime factors (1 factor, 86.4 bits, 0.00011550% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
748231311036286618993754235881479692786.422692490814768065664
27 × 132 × 1321 × 2399 × 10101463
2015-12-29239910101463326,5922.21544.1207

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2015-12-29Chang Chia-Tcheex016400001200000022786.4225.0473.985%


Trial Factoring results:
57585960616263646566676869707172737475
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2002-03-03Jossv4_computers212570.000
2022-06-02LordJuliusManual testing21264
2010-07-19Mike Rmollyprime2642650.050
2010-11-22Bobbi and the Straysnycdo-rtjia12652660.100
2010-11-26Bobbi and the Straysnycdo-rtjia12662670.200
2010-11-29Bobbi and the Straysnycdo-rtjia12672680.399
2010-11-30vapaddybengie2682690.799
2012-12-08AFTGOLDlinkager012692701.598
2013-08-09SMoffatManual testing2702713.196
2015-08-27FredrikManual testing2712726.392
2015-11-29Matthias WurtingerManual testing27227312.78
2015-12-06TheJudgerManual testing27327576.70


ECM factoring results:
No ECM results for M74823131


Lucas-Lehmer results:
No L-L results for M74823131


PRP results:
No PRP results for M74823131


CERT results:
No CERT results for M74823131


P-1 factor-bounds graph:
B1 = 640000, B2 = 12000000 (P-1 stage 2)
B1 = 640000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
275
273
272
271
270
269
268
267
266
265
264
257
this exponent TF target: 74
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00