is 2 2436311 - 1
has 733403 decimal digits
takes 0.165 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L92EE702FD10C2B6Fdouble-checked
PRP60E2461B5DBE58ADverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26949.003168.1159%1986400695240000.55506.5902%49.558170.2172%2.1012%
PrimeNet2590.031562.7119%100001800000.00192.5256%0.033463.6536%0.9418%
GPU722630.655165.0794%100001500000.00171.3061%0.656865.5355%0.4561%
Difference+6+48.3480+3.0366%+1976400+69374000+0.5533+5.2841%+48.9013+4.6817%+4.6817%

Known prime factors (1 factor, 69.3 bits, 0.00284247% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
24363117027063510548889462732169.251144215239978576
24 × 13 × 693342499897
2022-01-081669334249989787.4143,700.36,911.1

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.188%
2003-10-31T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.657%
2010-11-17T11:35:00Jocelyn LaroucheManual testing2000020000---0.002--0.220%
2011-01-09T22:54:00Oscar Östlin950001923750---0.019--2.095%
2014-05-09T14:03:00mikrMSI198640069524000---0.555--6.590%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-06-26T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:14Mark RoseManual testing259260--0.032--
2009-01-14T22:32:00Sturle Sundegouache.ifi260261--0.063--
2012-06-05T21:42:00Sebastian HornbostelManual testing261262--0.126--
2013-01-23T08:28:00dbaughManual testing262263--0.403--
2015-02-27T20:40:00VictordeHollanderManual testing263264--0.806--
2015-02-27T20:40:00VictordeHollanderManual testing264265--1.534--
2015-10-25T20:35:00ramgeisManual testing265266--3.067--
2017-07-08T12:01:26Gordon SpenceManual testing266267--6.134--
2019-06-03T11:26:15TJAOIManual testing267268--12.27--
2021-07-12T19:27:50TJAOIManual testing268269--24.54--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.572 GHz-days
Estimated T-Level:22.696
DigitsB1CurvesCompleteFacMiss
2011000151 / 1001.51021.924%
2550000151 / 2800.53958.260%

New Calculation Method

Total ECM effort:13.572 GHz-days
Estimated T-Level:22.696
DigitsB1CompleteFacMiss
20110004.8940.749%
25500000.44264.269%
302500000.02797.314%
3510000000.00199.875%


ECM Summary

B1B2factorcurvesGHz-days
50000500000013512.04
50000500000020.178
50000520000070.635
50000675000070.716


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computers92EE702FD10C2B6F0.165
2018-05-23T08:41:57kkmrkkblmbrbkold92EE702FD10C2B6F0.165


PRP results:
dateuseridcompidcofactorsres64PRP
2022-01-09T08:33:13LordJuliusWhiteBox
702706351054888946273
60E2461B5DBE58ADno


P-1 factor-bounds graph:
B1 = 1986400, B2 = 69524000 (P-1 stage 2)
B1 = 1986400 (P-1 stage 1)
B1 = 95000, B2 = 1923750 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (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: 2022-01-09T08:33:13+00:00