is 2 56687 - 1
has 17065 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267524.175276.1194 %61000000079662357998223074,646.834230.8468 %75,171.009483.4858 %
Target2440.000063.6364 %500500000.00002.1146 %0.000064.4053 %
Difference+23+524.1751+12.4830 %+609999500+796623579932230+74,646.8342+28.7322%+75,171.0094+19.0805 %

Known prime factors (2 factors, 170.7 bits, 0.30115567% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
56687199136309294404071754.145175645482469
701 × 3323 × 75403
2014-04-233323754030.04231.247e-51.320e-5
5668712345833568068737458477527401608411136116.5721088947516015024384645291460265
32 × 5 × 253341061 × 95518798230748564297
2018-11-12253341061955187982307485642972.265e+128.950e+91.672e+10

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-02kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 19913630929440407
---39.725%
2023-04-24JacobZGreatLakes610000000796623579982230
skipped known factor: 19913630929440407
--117,12771.003%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-04ATHcolab-Pp215000000150000000027--0.176


Trial Factoring results:
5758596061626364656667
No TF results for M56687


ECM factoring results:
Total ECM effort:99.884 GHz-days
Estimated T-Level:32.887
DigitsB1CompleteFacMiss
2011000174.9900.000%
255000033.3890.000%
302500004.8380.792%
3510000000.57756.140%
4030000000.05894.385%
45110000000.00599.506%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.327
250000250000005853.619
100000010000000043012.08
100000010000000020.049
1000000205400811010.182
100000023662575305010.36
178979491891049254433.86
206009141409377105018.39
235774547325150605021.02


Lucas-Lehmer results:
No L-L results for M56687


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
19913630929440407
8CAB87E0596DB7A1
2017-09-21Oliver KruseManual testing
19913630929440407
8CAB87E0596DB7A1
2017-10-13kkmrkkblmbrbkManual testing
19913630929440407
8CAB87E0596DB7A1
2018-11-13ANONYMOUSdory
19913630929440407
123458335680687374584775274016084111
0225338B09B1EFB1
2018-11-13treborLaptop
19913630929440407
123458335680687374584775274016084111
0225338B09B1EFB1


CERT results:
No CERT results for M56687


P-1 factor-bounds graph:
B1 = 610000000, B2 = 796623579982230 (P-1 stage 2)
B1 = 610000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=32.89 ~= 93-bit
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Last modified: 2024-02-19T05:48:51+00:00