is 2 2494123 - 1
has 750806 decimal digits
takes 0.173 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCD5D5E9F1A16F5DAdouble-checked
PRPD2C923F75E435CF1verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.898167.6471%30000001000000000.83327.8768%24.731470.1954%2.5484%
PrimeNet2590.030862.7119%100001800000.00192.5368%0.032763.6578%0.9459%
GPU722630.639965.0794%110001600000.00191.3814%0.641865.5618%0.4824%
Difference+5+23.2582+2.5677%+2989000+99840000+0.8313+6.4954%+24.0895+4.6337%+4.6337%

Known prime factors (1 factor, 84.9 bits, 0.00340281% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2494123353580601861268194292118712684.8707088275154458464845
5 × 455557 × 3111915810517
2021-03-0445555731119158105171,817,34617,05231,848

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_computers15000228750---0.003--0.786%
2010-12-22T11:37:00Jocelyn LaroucheManual testing2000020000---0.002--0.263%
2011-01-24T19:38:00Oscar Östlin950001971250---0.020--2.387%
2014-09-10T00:51:00Jocelyn LaroucheManual testing120734120734---0.012--0.917%
2014-12-04T13:39:00mikrMSI238250085770100---0.697--7.552%
2015-12-26T08:48:51mikrMSI300000010000000012---0.833--7.877%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:15Mark RoseManual testing259260--0.031--
2009-01-10T21:12:00Sturle Sundeginglo.ifi260261--0.062--
2012-06-11T11:06:00Sebastian HornbostelManual testing261262--0.123--
2013-01-23T08:29:00dbaughManual testing262263--0.394--
2015-03-03T21:37:00VictordeHollanderManual testing263264--0.787--
2015-03-03T21:37:00VictordeHollanderManual testing264265--1.498--
2015-10-31T16:44:06ramgeisManual testing265266--2.996--
2017-07-24T22:21:29Gordon SpenceManual testing266267--5.992--
2019-04-08T13:40:34TJAOIManual testing267268--11.98--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.569 GHz-days
Estimated T-Level:22.054
DigitsB1CurvesCompleteFacMiss
2011000115 / 1001.15031.481%
2550000115 / 2800.41166.269%

New Calculation Method

Total ECM effort:10.569 GHz-days
Estimated T-Level:22.054
DigitsB1CompleteFacMiss
20110003.7102.449%
25500000.33571.514%
302500000.02197.957%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001089.93
50000500000070.643


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computersCD5D5E9F1A16F5DA0.173
2018-06-01T08:53:32kkmrkkblmbrbkoldCD5D5E9F1A16F5DA0.173


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-05T16:03:37mrhlanai
35358060186126819429211871
D2C923F75E435CF1no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 2382500, B2 = 85770100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2382500 (P-1 stage 1)
B1 = 95000, B2 = 1971250 (P-1 stage 2)
B1 = 120734 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 228750 (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: 2021-03-05T16:03:37+00:00