is 2 1085657 - 1
has 326816 decimal digits
takes 0.032 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L2D5BE9D927E2F5D2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26727.369568.6567 %858000889674786020.866411.8021 %48.235972.3559 %
Target2600.141565.0000 %45001000000.00040.6535 %0.141965.2287 %
Difference+7+27.2281+3.6567 %+853500+8896647860+20.8659+11.1487%+48.0940+7.1272 %

Known prime factors (1 factor, 72.9 bits, 0.00671124% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
108565785773537132036099527112272.8613950305535359515
3 × 5 × 26161 × 10066652741
2008-03-202616110066652741880.8823.57244.024

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2024-02-05Mark Roseworktop8580008896747860--21.5919.266%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-07-04ANONYMOUSv4_computers212560.009
2001-11-24ANONYMOUSv4_computers212570.018


ECM factoring results:
Total ECM effort:17.576 GHz-days
Estimated T-Level:25.654
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.084
5000050000002789.76
25000025000000447.730


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-16ANONYMOUSv4_computers2D5BE9D927E2F5D20.032


PRP results:
dateuseridcompidcofactorsres64
2017-09-29Oliver KruseGTX-2
8577353713203609952711
DB23004409E9DF45
2017-10-16Oliver KruseThreadripper-PC
8577353713203609952711
DB23004409E9DF45
2018-01-02ATHec2-1xh
8577353713203609952711
DB23004409E9DF45


CERT results:
No CERT results for M1085657


P-1 factor-bounds graph:
B1 = 858000, B2 = 8896747860 (P-1 stage 2)
B1 = 858000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
257
256
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-03T02:29:32+00:00