is 2 2578489 - 1
has 776203 decimal digits
takes 0.179 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L7B03A43237FF0B3Adouble-checked
PRP685EAC7A093536__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.116267.6471%32000001120000000.91808.0816%24.034270.2617%2.6147%
PrimeNet2590.029862.7119%110002000000.00212.6908%0.031963.7152%1.0033%
GPU722630.619065.0794%120001900000.00221.5051%0.621265.6050%0.5256%
Difference+5+22.4972+2.5677%+3188000+111810000+0.9158+6.5765%+23.4131+4.6568%+4.6568%

Known prime factors (1 factor, 71.9 bits, 0.00278961% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
257848944980810795900956279832271.930872231969884319
11 × 79293815444029
2020-07-291179293815444029233.55434,493811,511

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.237%
2003-11-08T00:00:00Team Prime Ribv4_computers15000202500---0.003--0.762%
2010-12-21T22:26:00Jocelyn LaroucheManual testing2000020000---0.002--0.265%
2011-01-11T22:56:00Jocelyn LaroucheManual testing5000050000---0.005--0.532%
2011-10-09T09:38:00markrtiny1750004112500---0.039--3.174%
2016-07-12T13:58:05mikrMSI320000011200000012---0.918--8.082%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00Charlie Dorianv4_computers21259--0.030--
2016-02-23T16:29:17Mark RoseManual testing259260--0.030--
2009-01-31T13:33:00Sturle Sundegolli.ifi260261--0.060--
2012-06-19T20:42:00Sebastian HornbostelManual testing261262--0.119--
2013-01-14T11:55:00dbaughManual testing262263--0.381--
2015-02-27T20:35:00VictordeHollanderManual testing263264--0.761--
2015-02-27T20:35:00VictordeHollanderManual testing264265--1.449--
2015-11-08T21:03:06ramgeisManual testing265266--2.898--
2017-08-20T12:59:34Gordon SpenceManual testing266267--5.796--
2019-07-09T06:42:40lycornManual testing267268--11.59--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.618 GHz-days
Estimated T-Level:2.500
DigitsB1CurvesCompleteFacMiss
201100050 / 1000.50060.501%
255000050 / 2800.17983.620%

New Calculation Method

Total ECM effort:4.618 GHz-days
Estimated T-Level:2.500
DigitsB1CompleteFacMiss
20110001.61319.931%
25500000.14686.435%
302500000.00999.106%


ECM Summary

B1B2factorcurvesGHz-days
500005000000484.433
50000500000020.185


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00Charlie Dorianv4_computers7B03A43237FF0B3A0.179
2018-06-18T18:00:14kkmrkkblmbrbkold7B03A43237FF0B3A0.179


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-29T18:30:30ATHec2-PRPCF
4498081079590095627983
685EAC7A093536__no


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 = 202500 (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: 2020-07-29T18:30:30+00:00