is 2 2139409 - 1
has 644027 decimal digits
takes 0.141 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.888867.1642%500000150000000.12305.1647%14.011868.8601%1.6959%
PrimeNet2580.017962.0690%90001700000.00172.7312%0.019663.1049%1.0360%
GPU722620.287264.5161%100001500000.00171.4875%0.288865.0439%0.5278%
Difference+5+13.6017+2.6481%+490000+14850000+0.1213+3.6773%+13.7230+3.8161%+3.8161%

Known prime factors (2 factors, 121.0 bits, 0.00565780% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
213940910974098465511339.997256475
52 × 10259
-25102595.183e-85.554e-59.953e-5
213940924967061385558927221206092581.046583503700918312656
24 × 33 × 19 × 29 × 2451366626833
2022-01-26292451366626833260,42312,73323,782

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2139409273990990039556197691919520600466955937121.044
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-28T11:47:21alpertronManual testing5000001500000012-
skipped known factor: 1097409846551
--0.123--5.165%


Trial Factoring results:
No TF results for M2139409


ECM factoring results:

Old Calculation Method

Total ECM effort:1.792 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:1.792 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.66151.647%
25500000.06094.171%
302500000.00499.630%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.512
50000500000070.597
50000675000070.683


Lucas-Lehmer results:
No L-L results for M2139409


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T17:23:01Oliver KruseGTX-3
1097409846551
EB3D669FC9F765__no
2017-11-18T07:38:13kkmrkkblmbrbkc4.xlarge
1097409846551
EB3D669FC9F765__no
2022-01-28T14:27:46SRJ2877LTOS
1097409846551
2496706138555892722120609
9E30CA16F66F1585no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-21T05:37:24+00:00