is 2 8591369 - 1
has 2586260 decimal digits
takes 2.243 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L52EC222DC0A4E4D9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2686.937864.7059 %10000018250000.07342.8540 %7.011265.7132 %
Target2686.937864.7059 %5500060000000.14352.2923 %7.081265.5149 %
Difference---+45000-4175000-0.0700+0.5618%-0.0700+0.1983 %

Known prime factors (1 factor, 69.4 bits, 0.00080734% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
85913697585347972545670650712169.36244145164598015
3 × 5 × 13 × 19 × 11915024183
2019-05-31191191502418313.896245.78459.05

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-11-02Pi_Rhov4_computers35000192500--0.0171.217%
2012-07-13NesowaWork10000018250006--0.0732.854%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-10-11ANONYMOUSv4_computers212620.036
1999-07-27ITSv4_computers212630.114
1999-12-30ANONYMOUSv4_computers212640.229
2013-11-03David CampeauManual testing2642650.435
2015-05-25VictordeHollanderManual testing2652660.870
2016-01-29snme2pm1Manual testing2662671.740
2018-04-05monstManual testing2672683.479


ECM factoring results:
Total ECM effort:1.588 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191
50000500000010.397


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-02-23ANONYMOUSv4_computers52EC222DC0A4E4D92.243
2003-05-26foxkidv4_computers52EC222DC0A4E4D92.243


PRP results:
dateuseridcompidcofactorsres64
2019-06-01vnatinvnatin
758534797254567065071
F45B45A792D6F927
2020-12-01Oliver KruseIOS-5
758534797254567065071
F45B45A792D6F927


CERT results:
dateuseridcompid
2020-12-01curtiscwcm201--32l


P-1 factor-bounds graph:
B1 = 100000, B2 = 1825000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 35000, B2 = 192500 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00