is 2 2139091 - 1
has 643931 decimal digits
takes 0.141 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE5F684C803108FDDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.890967.1642 %500000150000000.12305.1646 %14.013968.8600 %
Target2620.287264.5161 %100007500000.00481.4874 %0.292065.0439 %
Difference+5+13.6037+2.6481 %+490000+14250000+0.1182+3.6772%+13.7219+3.8161 %

Known prime factors (1 factor, 62.9 bits, 0.00294126% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
213909187033286066818339191962.9162034352116549
34 × 73 × 439 × 783707
2009-01-034397837070.72910.00410.0076

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-07ANONYMOUSv4_computers204820480012--0.0010.774%
2016-03-27alpertronManual testing5000001500000012
skipped known factor: 8703328606681833919
---8.246%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-29ANONYMOUSv4_computers212580.018


ECM factoring results:
Total ECM effort:10.016 GHz-days
Estimated T-Level:21.890
DigitsB1CompleteFacMiss
20110003.9921.846%
25500000.37868.528%
302500000.02497.614%
3510000000.00199.887%


ECM Summary

B1B2factorcurvesGHz-days
10.125
50000420000070.558
500005000000171.457
50000551044970.622
50000685645370.688
50000700000080.794
577448199648505.772


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30ANONYMOUSv4_computersE5F684C803108FDD0.141
1999-06-26ANONYMOUSv4_computersE5F684C803108FDD0.141


PRP results:
dateuseridcompidcofactorsres64
2017-10-08Oliver KruseGTX-1
8703328606681833919
9EA6C37ECE45534D
2017-11-18kkmrkkblmbrbkc4.xlarge
8703328606681833919
9EA6C37ECE45534D


CERT results:
No CERT results for M2139091


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
TF factor-bounds graph:
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.89 ~= 56-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00