is 2 2612353 - 1
has 786397 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-L093F7991FA89FB08double-checked
PRP87B930609DA42BE5verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26945.700968.1159%2612353261235300.39165.6898%46.092469.9301%1.8141%
PrimeNet2590.029462.7119%110002000000.00212.6972%0.031563.7176%1.0057%
GPU722630.610965.0794%120002000000.00221.5318%0.613265.6143%0.5349%
Difference+6+45.0899+3.0366%+2600353+25923530+0.3893+4.1580%+45.4792+4.3158%+4.3158%

Known prime factors (1 factor, 75.8 bits, 0.00290035% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2612353643070878174255664551272375.76712308269176758571
3 × 21124661 × 194216437
2021-07-08211246611942164375,624.43.07304.3239

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%
2010-12-14T09:38:00markrtiny1000002125000---0.021--2.193%
2014-10-12T23:56:00Jocelyn LaroucheManual testing124570124570---0.013--0.819%
2016-05-21T05:06:06Jocelyn LaroucheManual testing20000036000006---0.039--2.825%
2017-07-10T01:11:35Jocelyn Larouchelow 4M40000040000006---0.060--3.194%
2019-10-14T15:57:27masserManual testing26123532612353012---0.392--5.690%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-21T00:00:00ANONYMOUSv4_computers21258--0.015--
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:17Mark RoseManual testing259260--0.029--
2009-01-30T18:37:00Sturle Sundefizir.ifi260261--0.059--
2012-06-26T03:31:00Grant 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--1.430--
2016-01-16T11:43:03ramgeisManual testing265266--2.861--
2017-08-28T12:47:26Gordon SpenceManual testing266267--5.721--
2019-04-29T13:20:19TJAOIManual testing267268--11.44--
2021-06-03T11:39:10TJAOIManual testing268269--22.88--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.303 GHz-days
Estimated T-Level:22.161
DigitsB1CurvesCompleteFacMiss
2011000121 / 1001.21029.639%
2550000121 / 2800.43264.861%

New Calculation Method

Total ECM effort:11.303 GHz-days
Estimated T-Level:22.161
DigitsB1CompleteFacMiss
20110003.9261.972%
25500000.35570.143%
302500000.02297.839%
3510000000.00199.900%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001009.254
50000500000070.648
50000515000070.656
50000675000070.744


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-21T00:00:00ANONYMOUSv4_computers093F7991FA89FB080.181
1999-04-23T00:00:00ANONYMOUSv4_computers093F7991FA89FB080.181
2018-06-30T09:20:42kkmrkkblmbrbkold093F7991FA89FB080.181


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-08T14:12:22ATHec2-PRPCF
64307087817425566455127
87B930609DA42BE5no


P-1 factor-bounds graph:
B1 = 2612353, B2 = 26123530 (P-1 stage 2)
B1 = 2612353 (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 = 124570 (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: 2021-07-08T14:12:22+00:00