is 2 79314731 - 1
has 23876114 decimal digits
takes 247.501 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
Actual27596.475264.0000 %6650006650003.00891.5629 %99.484264.5626 %
Target27596.475264.0000 %5000008500000023.09323.7787 %119.568465.3603 %
Difference---+165000-84335000-20.0842-2.2159 %-20.0842-0.7977 %

Known prime factors (1 factor, 86.3 bits, 0.00010884% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
79314731971954070842582397052408812686.329612719767556535240
23 × 34 × 5 × 7 × 41 × 199 × 23581 × 140417
2016-09-0723581140417269,4350.13550.2171

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-07bamDesk866500066500012686.3293.1061.563%


Trial Factoring results:
57585960616263646566676869707172737475
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-04-27markrrmst2632640.025
2009-06-30Patrik Johanssonalpha2642650.047
2011-03-22ANONYMOUS2652660.094
2011-03-25ANONYMOUS2662670.188
2011-03-29subgeniusHDO-c12672680.377
2013-01-26YxinityYxine2682690.754
2013-01-30YxinityYxine2692701.507
2013-05-30]mh[ Virtekwork32702713.015
2014-01-14S04803Manual testing2712726.030
2016-07-29CacheOutManual testing27227312.06
2016-08-02AirSquirrelsManual testing27327572.36


ECM factoring results:
No ECM results for M79314731


Lucas-Lehmer results:
No L-L results for M79314731


PRP results:
No PRP results for M79314731


CERT results:
No CERT results for M79314731


P-1 factor-bounds graph:
B1 = 665000 (P-1 stage 1)
103
104
105
106
103
104
105
106
TF factor-bounds graph:
275
273
272
271
270
269
268
267
266
265
264
this exponent TF target: 75
TF double-checked to: 67
250
260
270
280
290
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Last modified: 2024-03-13T02:15:48+00:00