is 2 2426119 - 1
has 730335 decimal digits
takes 0.164 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE893C6029C6D50F4double-checked
PRPEF3079BD61D85CD7verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.568067.6471%1986400695240000.55507.1728%25.123069.9677%2.3206%
PrimeNet2590.031762.7119%100001800000.00192.5236%0.033563.6529%0.9410%
GPU722630.657865.0794%100001400000.00171.2777%0.659565.5255%0.4462%
Difference+5+23.9101+2.5677%+1976400+69384000+0.5533+5.8951%+24.4635+4.4421%+4.4421%

Known prime factors (1 factor, 79.8 bits, 0.00328841% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
242611910384361165751550584707692579.781214011785195852936
23 × 26751473149481617
2020-09-0482675147314948161780,569142,769,640266,653,929

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.233%
2010-11-10T11:26:00Jocelyn LaroucheManual testing1500015000---0.001--0.204%
2010-11-17T11:34:00Jocelyn LaroucheManual testing2000020000---0.002--0.262%
2010-12-18T05:59:00markrtiny950001923750---0.019--2.363%
2014-04-23T19:05:00mikrMSI198640069524000---0.555--7.173%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:14Mark RoseManual testing259260--0.032--
2009-01-14T00:04:00Sturle Sundegimba.ifi260261--0.063--
2012-06-05T07:42:00Sebastian HornbostelManual testing261262--0.127--
2013-01-23T08:28:00dbaughManual testing262263--0.405--
2015-02-27T20:40:00VictordeHollanderManual testing263264--0.809--
2015-02-27T20:40:00VictordeHollanderManual testing264265--1.540--
2015-10-23T09:34:51ramgeisManual testing265266--3.080--
2017-07-05T06:34:30Gordon SpenceManual testing266267--6.160--
2019-04-22T13:11:33TJAOIManual testing267268--12.32--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.865 GHz-days
Estimated T-Level:3.850
DigitsB1CurvesCompleteFacMiss
201100077 / 1000.77046.122%
255000077 / 2800.27575.920%

New Calculation Method

Total ECM effort:6.865 GHz-days
Estimated T-Level:3.850
DigitsB1CompleteFacMiss
20110002.4848.342%
25500000.22479.892%
302500000.01498.627%


ECM Summary

B1B2factorcurvesGHz-days
500005000000756.686
50000500000020.178


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersE893C6029C6D50F40.164
1999-05-23T00:00:00ANONYMOUSv4_computersE893C6029C6D50F40.164
2018-05-21T02:23:32kkmrkkblmbrbkoldE893C6029C6D50F40.164


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-06T12:49:44benthomasWork2
1038436116575155058470769
EF3079BD61D85CD7no


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 = 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: 2020-09-06T12:49:44+00:00