is 2 2595743 - 1
has 781397 decimal digits
takes 0.180 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD25689F9ECF3429Edouble-checked
PRP6B77272DF9765C96verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.962567.6471%30000001350000001.02508.2790%23.987670.3256%2.6785%
PrimeNet2590.029662.7119%110002000000.00212.6941%0.031763.7164%1.0046%
GPU722630.614965.0794%120002000000.00221.5298%0.617165.6136%0.5342%
Difference+5+22.3477+2.5677%+2988000+134800000+1.0228+6.7492%+23.3705+4.7120%+4.7120%

Known prime factors (1 factor, 68.7 bits, 0.00264477% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25957434636165120883031344812168.65189303238434680
23 × 5 × 23 × 97068737429
2020-12-02239706873742943.501531.89993.42

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_computers15000206250---0.003--0.767%
2010-11-16T23:08:00Jocelyn LaroucheManual testing2000020000---0.002--0.266%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.533%
2011-02-25T13:12:00James Heinrichi7-9203000008000000---0.072--3.969%
2018-08-11T22:21:45Jocelyn Larouchelow 4M600000600000---0.060--2.020%
2018-08-17T10:20:14Jocelyn Larouchelow 4M60000060000006---0.090--4.059%
2018-11-26T10:40:34mikrMSI300000013500000012---1.025--8.279%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-12T00:00:00ANONYMOUSv4_computers21258--0.015--
1999-02-14T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:17Mark RoseManual testing259260--0.030--
2009-01-31T18:54:00Sturle Sundedietrich.ifi260261--0.059--
2012-06-23T09:43:00Sebastian HornbostelManual testing261262--0.118--
2013-01-14T11:55:00dbaughManual testing262263--0.378--
2015-02-27T20:35:00VictordeHollanderManual testing263264--0.756--
2015-02-27T20:35:00VictordeHollanderManual testing264265--1.439--
2015-11-06T09:16:17ramgeisManual testing265266--2.879--
2017-08-21T17:34:51Gordon SpenceManual testing266267--5.758--
2019-04-08T13:40:33TJAOIManual testing267268--11.52--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.304 GHz-days
Estimated T-Level:3.950
DigitsB1CurvesCompleteFacMiss
201100079 / 1000.79045.204%
255000079 / 2800.28275.379%

New Calculation Method

Total ECM effort:7.304 GHz-days
Estimated T-Level:3.950
DigitsB1CompleteFacMiss
20110002.5487.821%
25500000.23079.428%
302500000.01498.592%


ECM Summary

B1B2factorcurvesGHz-days
500005000000756.934
50000500000040.370


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-12T00:00:00ANONYMOUSv4_computersD25689F9ECF3429E0.180
1999-05-02T00:00:00ANONYMOUSv4_computersD25689F9ECF3429E0.180
2018-06-24T22:33:32kkmrkkblmbrbkoldD25689F9ECF3429E0.180


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-02T21:33:51mrhlanai
463616512088303134481
6B77272DF9765C96no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 135000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (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: 2020-12-02T21:33:51+00:00