is 2 2138713 - 1
has 643817 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-L3163E794A40D6ABDdouble-checked
PRP67045514287E4DCCverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.869567.6471%25000001250000000.87467.9127%28.744170.2071%2.5600%
PrimeNet2580.018062.0690%90001700000.00172.7310%0.019663.1049%1.0359%
GPU722620.287364.5161%100001500000.00171.4874%0.288965.0439%0.5278%
Difference+6+27.5822+3.1309%+2490000+124850000+0.8730+6.4254%+28.4552+5.1632%+5.1632%

Known prime factors (1 factor, 79.1 bits, 0.00369713% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21387136349207696722568811459292479.071148435243455353028
22 × 3 × 137 × 90289077527587
2021-05-011379028907752758799,475468,984875,932

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.225%
2010-10-26T07:05:00Oscar Östlin7501175011---0.007--0.669%
2010-11-27T11:57:00Oscar Östlin800001500000---0.015--2.103%
2013-12-03T16:49:00c10ck3rManual testing50000010000000---0.097--4.330%
2017-10-20T05:13:41mikrMSI250000012500000012---0.875--7.913%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
1999-04-13T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:06Mark RoseManual testing258260--0.054--
2009-01-04T23:49:00Sturle Sundefigaro.ifi260261--0.072--
2012-04-16T06:48:00Sebastian 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--1.747--
2015-12-27T16:49:14ramgeisManual testing265266--3.494--
2016-10-29T15:24:10Gordon SpenceManual testing266267--6.988--
2019-04-22T13:11:42TJAOIManual testing267268--13.98--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.235 GHz-days
Estimated T-Level:22.929
DigitsB1CurvesCompleteFacMiss
2011000164 / 1001.64019.239%
2550000164 / 2800.58655.612%

New Calculation Method

Total ECM effort:14.235 GHz-days
Estimated T-Level:22.929
DigitsB1CompleteFacMiss
20110005.3290.485%
25500000.48361.687%
302500000.03097.060%
3510000000.00199.863%


ECM Summary

B1B2factorcurvesGHz-days
50000500000015313.05
50000500000030.256
50000675000070.683
766202417689010.246


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computers3163E794A40D6ABD0.141
1999-04-13T00:00:00ANONYMOUSv4_computers3163E794A40D6ABD0.141
2018-04-07T06:20:21kkmrkkblmbrbkold3163E794A40D6ABD0.141


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-01T15:41:45mrhw
634920769672256881145929
67045514287E4DCCno


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: 2021-05-01T15:41:45+00:00