is 2 2436953 - 1
has 733596 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-L71251F509D26B314double-checked
PRPEF4B3D4FA34DFCE3verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.458867.6471%1988120695841800.55557.1776%25.014369.9692%2.3222%
PrimeNet2590.031562.7119%100001800000.00192.5257%0.033463.6537%0.9418%
GPU722630.654965.0794%100001500000.00171.3062%0.656665.5355%0.4561%
Difference+5+23.8038+2.5677%+1978120+69434180+0.5538+5.8715%+24.3576+4.4337%+4.4337%

Known prime factors (1 factor, 82.3 bits, 0.00337517% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
243695357557160530869378280083432582.2511180924714815373507
7 × 17 × 31 × 320120551589963
2021-03-1931320120551589963694,8391,708,4483,190,905

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.233%
2003-10-31T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.770%
2010-11-17T11:35:00Jocelyn LaroucheManual testing2000020000---0.002--0.262%
2011-01-10T04:19:00Oscar Östlin950001923750---0.019--2.365%
2014-05-11T10:35:00mikrMSI198812069584180---0.556--7.178%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00Ethan O'Connorv4_computers21259--0.032--
2016-02-23T16:29:14Mark RoseManual testing259260--0.032--
2009-01-15T15:00:00Sturle Sundegouache.ifi260261--0.063--
2012-06-05T22:42:00Sebastian HornbostelManual testing261262--0.126--
2013-12-04T21:13:00Jerry HallettManual testing262263--0.403--
2015-02-27T20:41:00VictordeHollanderManual testing263264--0.806--
2015-02-27T20:41:00VictordeHollanderManual testing264265--1.533--
2015-10-25T20:35:00ramgeisManual testing265266--3.066--
2017-07-08T12:01:26Gordon SpenceManual testing266267--6.133--
2019-06-03T11:26:15TJAOIManual testing267268--12.27--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.438 GHz-days
Estimated T-Level:22.089
DigitsB1CurvesCompleteFacMiss
2011000117 / 1001.17030.854%
2550000117 / 2800.41865.796%

New Calculation Method

Total ECM effort:10.438 GHz-days
Estimated T-Level:22.089
DigitsB1CompleteFacMiss
20110004.5001.111%
25500000.41665.944%
302500000.02697.408%
3510000000.00199.877%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001109.81
50000500000070.624


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00Ethan O'Connorv4_computers71251F509D26B3140.165
2018-05-23T12:00:53kkmrkkblmbrbkold71251F509D26B3140.165


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-21T18:35:02rbanovfiscalis_srv02
5755716053086937828008343
EF4B3D4FA34DFCE3no


P-1 factor-bounds graph:
B1 = 1988120, B2 = 69584180 (P-1 stage 2)
B1 = 1988120 (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: 2021-03-21T18:35:02+00:00