is 2 10811107 - 1
has 3254468 decimal digits
takes 3.532 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L65999205A494AF22double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2672.748564.1791 %13000021125000.11273.5676 %2.861265.4570 %
Target2685.513364.7059 %7000085000000.25072.7171 %5.764065.6648 %
Difference-1-2.7648-0.5268 %+60000-6387500-0.1380+0.8505%-2.9028-0.2078 %

Known prime factors (1 factor, 77.6 bits, 0.00071799% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
108111072327362581453561337773612477.62310763757039189240
23 × 33 × 5 × 37 × 283 × 951813743
2017-08-022839518137432,831.224.56345.877

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-08-10hetmanv4_computers1300002112500--0.1133.191%
2000-10-15ANONYMOUSv4_computers110000770000--0.0692.403%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-10ANONYMOUSv4_computers212640.182
2013-12-09lycornManual testing2642650.346
2015-05-18ThaManual testing2652660.691
2015-12-02VictordeHollanderManual testing2662671.382


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
50000500000010.514
50000500000010.497


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-12-07ANONYMOUSv4_computers65999205A494AF223.532
2004-11-30shaneamyv4_computers65999205A494AF223.532
2005-03-20shaneamyv4_computers65999205A494AF223.532


PRP results:
dateuseridcompidcofactorsres64
2021-02-15LaurVbutu
232736258145356133777361
E3BB3A774060B8DB


CERT results:
dateuseridcompid
2021-02-15curtischum110--13l


P-1 factor-bounds graph:
B1 = 130000, B2 = 2112500 (P-1 stage 2)
B1 = 110000, B2 = 770000 (P-1 stage 2)
B1 = 130000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
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: 2024-02-09T03:30:02+00:00