is 2 10705813 - 1
has 3222771 decimal digits
takes 3.497 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L996FC29E44AEF33Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26911.151665.2174 %13000026650000.12703.0023 %11.278666.2617 %
Target2685.567564.7059 %7000085000000.25072.7130 %5.818265.6634 %
Difference+1+5.5841+0.5115 %+60000-5835000-0.1237+0.2893%+5.4604+0.5983 %

Known prime factors (1 factor, 93.8 bits, 0.00087600% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10705813170460646896453528593538907672993.783796112574058847882891
277 × 93607 × 512921 × 59859889
2019-09-2451292159859889187,370,0121.77452.8852

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-12-13ANONYMOUSv4_computers60000960000--0.0522.289%
2013-08-02NesowaEPC13000026650006--0.1273.359%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-21ANONYMOUSv4_computers212640.183
2013-12-12lycornManual testing2642650.349
2015-05-12ThaManual testing2652660.698
2015-11-23VictordeHollanderManual testing2662671.396
2017-12-19ramgeisManual testing2672682.792
2017-12-19ramgeisManual testing2682695.584


ECM factoring results:
Total ECM effort:1.508 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021.011
50000500000010.497


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-09-15ANONYMOUSv4_computers996FC29E44AEF33F3.497
2003-12-31ANONYMOUSv4_computers996FC29E44AEF33F3.497


PRP results:
dateuseridcompidcofactorsres64
2020-12-22Niels_Mache_Nextcloudconf4-a
17046064689645352859353890767
5BCAC0124AEA4862


CERT results:
dateuseridcompid
2020-12-23Mark Roseshredder


P-1 factor-bounds graph:
B1 = 130000, B2 = 2665000 (P-1 stage 2)
B1 = 130000 (P-1 stage 1)
B1 = 60000, B2 = 960000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
269
268
267
266
265
264
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
290
2100
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Last modified: 2024-02-09T03:30:02+00:00