is 2 10740137 - 1
has 3233104 decimal digits
takes 3.508 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2D5F24B8DEAB0CA8double-checked
PRP0EA9B2FC1B4FEDE7verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672.766664.1791%13000026650000.12703.7538%2.893665.5237%1.3446%
PrimeNet2640.331462.5000%4500013000000.05373.7852%0.385163.9194%1.4194%
GPU722685.549764.7059%7000017000000.07522.7143%5.625065.6639%0.9580%
Difference-1-2.7831-0.5268%+60000+965000+0.0518+1.0395%-2.7313-0.1401%-0.1401%

Known prime factors (1 factor, 67.2 bits, 0.00062534% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
107401371651800436914542716732167.1637689848076028
22 × 281 × 6841501847
2017-01-0328168415018474.2293176.56329.76

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Architects Cubedv4_computers60000900000---0.050--2.550%
2013-08-18T14:54:00NesowaEPC1300002665000---0.127--3.754%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-21T00:00:00ANONYMOUSv4_computers21264--0.331--
2013-12-11T21:48:00lycornManual testing264265--0.348--
2015-05-18T12:39:00ThaManual testing265266--0.696--
2015-12-02T00:45:06VictordeHollanderManual testing266267--1.392--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.993 GHz-days
Estimated T-Level:0.100
DigitsB1CurvesCompleteFacMiss
20110002 / 1000.02098.010%
25500002 / 2800.00799.287%

New Calculation Method

Total ECM effort:0.993 GHz-days
Estimated T-Level:0.100
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.497
50000500000010.497


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-09-29T00:00:00ANONYMOUSv4_computers2D5F24B8DEAB0CA83.508
2003-12-31T00:00:00lozcsv4_computers2D5F24B8DEAB0CA83.508


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-08T11:34:50ViliamF3
165180043691454271673
0EA9B2FC1B4FEDE7no


P-1 factor-bounds graph:
B1 = 130000, B2 = 2665000 (P-1 stage 2)
B1 = 130000 (P-1 stage 1)
B1 = 60000, B2 = 900000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
101
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104
105
106
101
102
103
104
105
106
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108
109
1010
TF factor-bounds graph:
267
266
265
264
250
260
270
280
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2100
Last modified: 2021-01-08T11:34:50+00:00