is 2 10771361 - 1
has 3242503 decimal digits
takes 3.519 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L374624D8561D9A0Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26911.083765.2174 %30000060000000.28924.0599 %11.372966.6295 %
Target2685.533664.7059 %7000085000000.25072.7155 %5.784465.6643 %
Difference+1+5.5501+0.5115 %+230000-2500000+0.0385+1.3444%+5.5886+0.9652 %

Known prime factors (1 factor, 71.3 bits, 0.00066237% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1077136130024878665228230365832271.347139373653270131
34 × 72 × 41113 × 854123
2018-01-024111385412378.8960.04050.0412

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-08-01Keith G. Calkinsv4_computers110000770000--0.0692.401%
2018-01-02ThaManual testing3000006000000622271.3470.3414.495%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-10ANONYMOUSv4_computers212640.182
2013-12-10lycornManual testing2642650.347
2015-05-18ThaManual testing2652660.694
2015-12-02VictordeHollanderManual testing2662671.388
2017-12-21ramgeisManual testing2672698.325


ECM factoring results:
Total ECM effort:1.011 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021.011


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-11-15Keith G. Calkinsv4_computers374624D8561D9A0F3.519
2004-03-08sasaki3v4_computers374624D8561D9A0F3.519


PRP results:
dateuseridcompidcofactorsres64
2021-01-28MarkSdesktop-i7
3002487866522823036583
C0D7598EF6489F4A


CERT results:
dateuseridcompid
2021-01-28hkt9700


P-1 factor-bounds graph:
B1 = 300000, B2 = 6000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 110000, B2 = 770000 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
TF factor-bounds graph:
269
267
266
265
264
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.38 ~= -15-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00