is 2 2139463 - 1
has 644043 decimal digits
takes 0.141 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L97DE22DC5543402Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.859767.6471%25000001250000000.87467.9130%28.734470.2072%2.5601%
PrimeNet2580.017962.0690%90001700000.00172.7312%0.019663.1049%1.0360%
GPU722620.287264.5161%100001500000.00171.4875%0.288865.0439%0.5278%
Difference+6+27.5726+3.1309%+2490000+124850000+0.8730+6.4256%+28.4455+5.1632%+5.1632%

Known prime factors (1 factor, 71.9 bits, 0.00336141% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
213946344558053039338568686492271.9161041337313132748
22 × 3 × 86778109427729
2020-07-13486778109427729283.84450,747841,870

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.225%
2010-10-25T12:08:00Oscar Östlin7501175011---0.007--0.670%
2010-11-27T19:31:00Oscar Östlin800001500000---0.015--2.103%
2013-12-03T16:49:00c10ck3rManual testing50000010000000---0.097--4.330%
2017-10-22T04:07:30mikrMSI250000012500000012---0.875--7.913%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:06Mark RoseManual testing258260--0.054--
2009-01-05T05:29:00Sturle Sundefigaro.ifi260261--0.072--
2012-04-16T19:25:00Sebastian HornbostelManual testing261262--0.144--
2013-02-21T00:57:00dbaughManual testing262263--0.459--
2015-03-18T10:56:00VictordeHollanderManual testing263264--0.918--
2015-03-18T10:56:00VictordeHollanderManual testing264265--1.746--
2015-12-27T16:49:14ramgeisManual testing265266--3.493--
2016-10-29T15:24:10Gordon SpenceManual testing266267--6.986--
2019-04-22T13:11:42TJAOIManual testing267268--13.97--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.445 GHz-days
Estimated T-Level:4.950
DigitsB1CurvesCompleteFacMiss
201100099 / 1000.99036.973%
255000099 / 2800.35470.173%

New Calculation Method

Total ECM effort:8.445 GHz-days
Estimated T-Level:4.950
DigitsB1CompleteFacMiss
20110003.1944.103%
25500000.28974.929%
302500000.01898.238%


ECM Summary

B1B2factorcurvesGHz-days
500005000000968.189
50000500000030.256


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computers97DE22DC5543402C0.141
2018-04-07T08:10:01kkmrkkblmbrbkold97DE22DC5543402C0.141


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-13T05:57:46CrypticClueManual testing
4455805303933856868649
1ECE44D7DE2F2D16no
2020-07-20T02:25:46NesowaLaptop
4455805303933856868649
1ECE44D7DE2F2D16no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 80000, B2 = 1500000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-07-20T02:25:46+00:00