is 2 2586667 - 1
has 778665 decimal digits
takes 0.179 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFAA1E90F367E42D3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26946.154768.1159%32000001120000000.91807.4541%47.072770.4926%2.3767%
PrimeNet2590.029762.7119%110002000000.00212.6923%0.031863.7158%1.0039%
GPU722630.617065.0794%120001900000.00221.5061%0.619265.6053%0.5259%
Difference+6+45.5377+3.0366%+3188000+111810000+0.9158+5.9481%+46.4535+4.8873%+1.8508%

Known prime factors:
No known factors for M2586667

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.191%
2003-11-08T00:00:00Team Prime Ribv4_computers15000206250---0.003--0.654%
2010-11-15T02:50:00Jocelyn LaroucheManual testing2000020000---0.002--0.223%
2011-01-13T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.455%
2011-10-13T10:43:00markrtiny1750004112500---0.039--2.842%
2016-08-05T01:40:31mikrMSI320000011200000012---0.918--7.454%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:17Mark RoseManual testing259260--0.030--
2009-02-01T03:23:00Sturle Sundeklughardt.ifi260261--0.059--
2012-06-21T19:42:00Sebastian HornbostelManual testing261262--0.119--
2013-01-14T11:55:00dbaughManual testing262263--0.380--
2015-02-27T20:35:00VictordeHollanderManual testing263264--0.759--
2015-02-27T20:35:00VictordeHollanderManual testing264265--1.444--
2015-11-08T21:03:08ramgeisManual testing265266--2.889--
2017-08-20T12:59:35Gordon SpenceManual testing266267--5.778--
2019-06-30T21:43:36lycornManual testing267268--11.56--
2021-06-14T11:23:38TJAOIManual testing268269--23.11--


ECM factoring results:
Total ECM effort:14.461 GHz-days
Estimated T-Level:22.748
DigitsB1CompleteFacMiss
20110005.9360.264%
25500000.55057.720%
302500000.03596.586%
3510000000.00299.838%


ECM Summary

B1B2factorcurvesGHz-days
50000500000011710.81
50000515000070.655
500006750000141.486
50000689835070.751
50000700000070.757


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ANONYMOUSv4_computersFAA1E90F367E42D30.179
2018-06-21T17:50:50kkmrkkblmbrbkoldFAA1E90F367E42D30.179


PRP results:
No PRP results for M2586667


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 175000, B2 = 4112500 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (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: 2022-06-26T06:15:52+00:00