is 2 4112579 - 1
has 1238010 decimal digits
takes 0.513 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC44C45D4B2D78F7Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2677.225167.1642%12500023437500.04453.1640%7.269668.2031%1.0389%
PrimeNet2610.074763.9344%170003400000.00632.8242%0.080964.9530%1.0186%
GPU722651.774066.1538%220004000000.00771.8096%1.781766.7663%0.6125%
Difference+2+5.4511+1.0103%+103000+1943750+0.0368+1.3544%+5.4879+1.4368%+1.4368%

Known prime factors (1 factor, 66.4 bits, 0.00161395% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4112579956856426747724793592066.37511633289314901
3 × 3877763104967
2016-04-12338777631049674.457138,20871,362

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-24T22:42:00Carsten Kossendeydurandal20000300000---0.006--1.215%
2011-08-02T04:04:00harleeP4_260040000580000---0.013--1.775%
2013-06-20T00:54:00Squeeky_SquirrelT7500_22001250002343750---0.044--3.164%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-04T00:00:00ANONYMOUSv4_computers21261--0.075--
2010-11-27T04:22:00Grant McCrackenthumper261262--0.075--
2011-07-01T19:14:00GrunwalderGIMPManual testing21263--0.388--
2016-02-23T16:29:48Mark RoseManual testing262263--0.239--
2013-09-07T07:51:00JayderManual testing263264--0.477--
2013-11-01T12:14:00David CampeauManual testing264265--0.909--
2015-05-31T21:23:00snme2pm1Manual testing265266--1.817--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.629 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.629 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.086
50000500000030.543


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-15T00:00:00ANONYMOUSv4_computersC44C45D4B2D78F7F0.513


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-14T21:24:42Oliver KruseGTX-3
95685642674772479359
3A5EA4B55E155A__no
2017-12-24T01:10:33kkmrkkblmbrbkc4.xlarge
95685642674772479359
3A5EA4B55E155A__no


P-1 factor-bounds graph:
B1 = 125000, B2 = 2343750 (P-1 stage 2)
B1 = 125000 (P-1 stage 1)
B1 = 40000, B2 = 580000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 20000, B2 = 300000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2017-12-24T01:10:33+00:00