is 2 2542913 - 1
has 765494 decimal digits
takes 0.176 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6F230284845A3EFBdouble-checked
PRPA850A68D7A05BD3Cverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26946.948868.1159%30000001350000001.02507.6206%47.973970.5457%2.4298%
PrimeNet2590.030262.7119%110002000000.00212.6839%0.032363.7126%1.0008%
GPU722630.627665.0794%120001800000.00211.4772%0.629865.5952%0.5158%
Difference+6+46.3212+3.0366%+2988000+134820000+1.0229+6.1434%+47.3441+4.9505%+4.9505%

Known prime factors (1 factor, 91.8 bits, 0.00360831% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
254291341819098408837744655632484412891.756822267580700514422940
22 × 3 × 5 × 23 × 4705577 × 126625506919
2021-07-094705577126625506919289,411,619694.301,295.9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.190%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.644%
2010-12-19T21:42:00Jocelyn LaroucheManual testing2000020000---0.002--0.222%
2011-01-02T14:09:00Jocelyn LaroucheManual testing3000030000---0.003--0.310%
2011-01-07T22:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.454%
2011-02-28T09:55:00James Heinrichi7-9203000008000000---0.072--3.569%
2018-08-13T10:35:01Jocelyn Larouchelow 4M60000060000006---0.090--3.663%
2018-09-15T22:47:02mikrMSI300000013500000012---1.025--7.621%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00Thomas Storkv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-01-31T08:45:00Sturle Sundeaalto.ifi260261--0.060--
2012-06-15T12:43:00Sebastian HornbostelManual testing261262--0.121--
2013-11-10T05:46:00lycornsnail262263--0.386--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.772--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.469--
2015-11-08T21:03:14ramgeisManual testing265266--2.939--
2017-08-08T13:42:10Gordon SpenceManual testing266267--5.877--
2019-04-08T13:40:34TJAOIManual testing267268--11.75--
2021-06-21T08:54:18TJAOIManual testing268269--23.51--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.451 GHz-days
Estimated T-Level:22.214
DigitsB1CurvesCompleteFacMiss
2011000124 / 1001.24028.758%
2550000124 / 2800.44364.169%

New Calculation Method

Total ECM effort:11.451 GHz-days
Estimated T-Level:22.214
DigitsB1CompleteFacMiss
20110004.7720.846%
25500000.44264.291%
302500000.02897.252%
3510000000.00199.870%


ECM Summary

B1B2factorcurvesGHz-days
50000500000011610.69
50000515000070.653
50000675000010.106


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computers6F230284845A3EFB0.176
2018-06-10T07:28:43kkmrkkblmbrbkold6F230284845A3EFB0.176


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-10T20:48:45kutensrigel
4181909840883774465563248441
A850A68D7A05BD3Cno


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 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (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: 2021-07-10T20:48:45+00:00