is 2 2607139 - 1
has 784828 decimal digits
takes 0.181 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5899833595D3342Adouble-checked
PRPC55247249CDB004Everified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.862267.6471%3000000900000000.77847.7813%23.640670.1645%2.5175%
PrimeNet2590.029562.7119%110002000000.00212.6962%0.031663.7172%1.0054%
GPU722630.612265.0794%120002000000.00221.5312%0.614465.6141%0.5347%
Difference+5+22.2500+2.5677%+2988000+89800000+0.7762+6.2501%+23.0262+4.5505%+4.5505%

Known prime factors (1 factor, 88.2 bits, 0.00338232% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26071393510720735817239792172439832788.18267328990433905514669
32 × 48527 × 154161578855083
2020-12-184852715416157885508334,707,578844,7331,577,725

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.238%
2003-11-08T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.781%
2010-11-16T23:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.266%
2010-12-15T18:30:00markrtiny1000002125000---0.021--2.472%
2014-10-10T20:28:00Jocelyn LaroucheManual testing124619124619---0.013--0.941%
2016-05-18T03:31:30Jocelyn LaroucheManual testing20000036000006---0.039--3.154%
2017-07-10T01:11:33Jocelyn Larouchelow 4M40000040000006---0.060--3.544%
2019-12-03T14:18:36masserManual testing20000005000000012---0.464--6.846%
2019-12-06T20:52:02BigBrotherWinston30000009000000012---0.778--7.781%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:17Mark RoseManual testing259260--0.029--
2009-01-27T02:17:00Sturle Sundeothello.ifi260261--0.059--
2012-06-24T12:11:00Sebastian HornbostelManual testing261262--0.118--
2013-01-14T11:55:00dbaughManual testing262263--0.377--
2015-02-18T11:41:00VictordeHollanderManual testing263264--0.753--
2015-02-18T11:41:00VictordeHollanderManual testing264265--1.433--
2016-01-15T14:57:03ramgeisManual testing265266--2.866--
2017-08-24T10:53:49Gordon SpenceManual testing266267--5.733--
2019-05-13T13:38:10TJAOIManual testing267268--11.47--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.124 GHz-days
Estimated T-Level:3.850
DigitsB1CurvesCompleteFacMiss
201100077 / 1000.77046.122%
255000077 / 2800.27575.920%

New Calculation Method

Total ECM effort:7.124 GHz-days
Estimated T-Level:3.850
DigitsB1CompleteFacMiss
20110002.9625.174%
25500000.27476.032%
302500000.01798.286%


ECM Summary

B1B2factorcurvesGHz-days
500005000000756.939
50000500000020.185


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02T00:00:00ANONYMOUSv4_computers5899833595D3342A0.181
2018-06-28T13:19:47kkmrkkblmbrbkold5899833595D3342A0.181


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-18T15:55:57SRJ2877LTOS
351072073581723979217243983
C55247249CDB004Eno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 3600000 (P-1 stage 2)
B1 = 100000, B2 = 2125000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 124619 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (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: 2020-12-18T15:55:57+00:00