is 2 2611813 - 1
has 786235 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-L7CDD8E64270DB9ACdouble-checked
PRPC9FDEFF6A1E16E66verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26945.710368.1159%2611813261181300.39155.6893%46.101869.9299%1.8140%
PrimeNet2590.029462.7119%110002000000.00212.6971%0.031563.7176%1.0057%
GPU722630.611165.0794%120002000000.00221.5317%0.613365.6142%0.5349%
Difference+6+45.0992+3.0366%+2599813+25918130+0.3892+4.1576%+45.4885+4.3157%+4.3157%

Known prime factors (1 factor, 76.4 bits, 0.00292389% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2611813974050050071479159137292376.36618647009760489728
28 × 72839881876913
2021-08-22256728398818769137,619.9399,128745,460

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.192%
2003-11-08T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.667%
2010-11-17T11:34:00Jocelyn LaroucheManual testing2000020000---0.002--0.223%
2010-12-14T12:51:00markrtiny1000002125000---0.021--2.193%
2014-10-12T23:56:00Jocelyn LaroucheManual testing124575124575---0.013--0.819%
2016-05-21T05:06:06Jocelyn LaroucheManual testing20000036000006---0.039--2.825%
2017-07-10T01:11:34Jocelyn Larouchelow 4M40000040000006---0.060--3.194%
2019-10-06T23:50:42masserManual testing26118132611813012---0.391--5.689%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-08-07T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:17Mark RoseManual testing259260--0.029--
2009-01-30T03:05:00Sturle Sundefizir.ifi260261--0.059--
2012-06-25T07:51:00Grant McCrackenthumper261262--0.118--
2013-01-14T11:55:00dbaughManual testing262263--0.376--
2015-02-18T11:41:00VictordeHollanderManual testing263264--0.752--
2015-02-18T11:41:00VictordeHollanderManual testing264265--1.431--
2016-01-16T11:43:03ramgeisManual testing265266--2.861--
2017-08-28T12:47:26Gordon SpenceManual testing266267--5.722--
2019-04-29T13:20:20TJAOIManual testing267268--11.44--
2021-06-03T11:39:12TJAOIManual testing268269--22.89--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.395 GHz-days
Estimated T-Level:22.179
DigitsB1CurvesCompleteFacMiss
2011000122 / 1001.22029.342%
2550000122 / 2800.43664.630%

New Calculation Method

Total ECM effort:11.395 GHz-days
Estimated T-Level:22.179
DigitsB1CompleteFacMiss
20110004.7180.893%
25500000.43664.638%
302500000.02897.283%
3510000000.00199.871%


ECM Summary

B1B2factorcurvesGHz-days
50000500000011410.55
50000665000070.739
50000675000010.106


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-08T00:00:00ANONYMOUSv4_computers7CDD8E64270DB9AC0.181
1999-06-06T00:00:00ANONYMOUSv4_computers7CDD8E64270DB9AC0.181
2018-06-30T06:12:57kkmrkkblmbrbkold7CDD8E64270DB9AC0.181


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-23T04:38:36SRJ2877LTOS
97405005007147915913729
C9FDEFF6A1E16E66no


P-1 factor-bounds graph:
B1 = 2611813, B2 = 26118130 (P-1 stage 2)
B1 = 2611813 (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 = 124575 (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: 2021-08-23T04:38:36+00:00