is 2 313111313 - 1
has 94255898 decimal digits
takes 4,471.621 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
Actual280782.043263.7500 %2605000260500053.94391.9108 %835.987064.4426 %
Target280782.043263.7500 %1900000400000000488.48874.3753 %1,270.531965.3361 %
Difference---+705000-397395000-434.5449-2.4646 %-434.5449-0.8934 %

Known prime factors (1 factor, 83.0 bits, 0.00002650% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31311131394487738789339028343474872582.96615088522015386111
3 × 887 × 2579 × 5843 × 376283
2019-06-2058433762833,128.20.53890.7929

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2019-06-20KrieselManual testing2605000260500012582.96656.191.911%


Trial Factoring results:
575859606162636465666768697071727374757677787980
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2011-01-06Rob_Deetwopc2642650.012
2011-08-09Rob_Deetwopc2652660.024
2012-03-30Never Odd Or EvenManual testing2662690.334
2012-03-30Never Odd Or EvenManual testing2692700.382
2012-04-11Never Odd Or EvenManual testing2702710.764
2012-04-11Never Odd Or EvenManual testing2712721.527
2012-10-16Never Odd Or EvenManual testing2722733.055
2016-11-10mikrManual testing2732746.110
2016-11-10mikrManual testing27427512.22
2016-11-10mikrManual testing27527624.44
2016-11-10mikrManual testing27627748.88
2017-07-24nranksManual testing27727897.76
2017-07-24nranksManual testing278279195.5
2017-07-24nranksManual testing279280391.0


ECM factoring results:
No ECM results for M313111313


Lucas-Lehmer results:
No L-L results for M313111313


PRP results:
No PRP results for M313111313


CERT results:
No CERT results for M313111313


P-1 factor-bounds graph:
B1 = 2605000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
TF factor-bounds graph:
280
279
278
277
276
275
274
273
272
271
270
269
266
265
this exponent TF target: 80
TF double-checked to: 67
250
260
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280
290
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Last modified: 2024-03-13T02:15:48+00:00