is 2 2518619 - 1
has 758180 decimal digits
takes 0.175 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1C4DA6FB604B86EBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.665767.6471%30000001350000001.02508.2547%24.690770.3177%2.6706%
PrimeNet2590.030562.7119%110001900000.00212.6426%0.032663.6973%0.9854%
GPU722630.633765.0794%110001800000.00201.4337%0.635765.5800%0.5006%
Difference+5+23.0320+2.5677%+2989000+134820000+1.0230+6.8210%+24.0550+4.7377%+4.7377%

Known prime factors (1 factor, 69.7 bits, 0.00276894% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25186199852730618891385988172169.739195597877624432
24 × 19 × 1033 × 622859701
2020-07-18103362285970147.9363.41316.3745

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.235%
2003-10-31T00:00:00Team Prime Ribv4_computers15000236250---0.003--0.796%
2010-12-19T21:41:00Jocelyn LaroucheManual testing2000020000---0.002--0.264%
2011-01-01T13:19:00Jocelyn LaroucheManual testing3000030000---0.003--0.366%
2011-01-06T01:06:00Jocelyn LaroucheManual testing5000050000---0.005--0.530%
2011-03-04T15:22:00James Heinrichi7-9203000008000000---0.072--3.954%
2017-11-01T21:31:23Jocelyn Larouchelow 4M60000060000006---0.090--4.043%
2018-04-29T16:17:38mikrMSI300000013500000012---1.025--8.255%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-09T00:00:00Denis Clavev4_computers21258--0.015--
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:15Mark RoseManual testing259260--0.030--
2009-01-31T08:28:00Sturle Sundegigotte.ifi260261--0.061--
2012-06-13T12:43:00Sebastian HornbostelManual testing261262--0.122--
2013-12-04T21:13:00Jerry HallettManual testing262263--0.390--
2015-02-18T11:37:00VictordeHollanderManual testing263264--0.780--
2015-02-18T11:37:00VictordeHollanderManual testing264265--1.483--
2015-11-06T09:16:18ramgeisManual testing265266--2.967--
2017-08-01T16:11:48Gordon SpenceManual testing266267--5.934--
2019-04-29T13:20:22TJAOIManual testing267268--11.87--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.786 GHz-days
Estimated T-Level:2.600
DigitsB1CurvesCompleteFacMiss
201100052 / 1000.52059.297%
255000052 / 2800.18683.023%

New Calculation Method

Total ECM effort:4.786 GHz-days
Estimated T-Level:2.600
DigitsB1CompleteFacMiss
20110001.67718.686%
25500000.15285.933%
302500000.00999.071%


ECM Summary

B1B2factorcurvesGHz-days
500005000000504.602
50000500000020.184


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-09T00:00:00Denis Clavev4_computers1C4DA6FB604B86EB0.175
1999-04-23T00:00:00ANONYMOUSv4_computers1C4DA6FB604B86EB0.175


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-21T02:15:26Yuji HasegawaManual testing
985273061889138598817
FEDA9FA38E2C60E6no
2020-07-22T01:24:17marssystemssystem11
985273061889138598817
FEDA9FA38E2C60E6no


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 = 236250 (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: 2020-07-22T01:24:17+00:00