is 2 2311583 - 1
has 695856 decimal digits
takes 0.156 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L212B70675799D2A9double-checked
PRP09B85573FAD67490verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.785367.6471%60000001800000001.51648.9627%27.301770.5467%2.8997%
PrimeNet2580.016662.0690%100001900000.00192.9307%0.018663.1806%1.1116%
GPU722620.265864.5161%130002000000.00231.7808%0.268065.1480%0.6319%
Difference+6+25.5195+3.1309%+5987000+179800000+1.5141+7.1819%+27.0336+5.3987%+5.3987%

Known prime factors (1 factor, 68.2 bits, 0.00295188% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23115833474002251047638083432168.23575143359573237
113 × 664985482949
2020-12-1411366498548294936.7403,549.06,628.5

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.230%
2010-02-15T08:08:00Budannan50000010000000---0.100--4.372%
2018-01-06T07:59:49Sid & AndyHand_In_The_Box600000018000000012---1.516--8.963%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.066--
2009-01-14T04:13:00Sturle Sundedietrich.ifi260261--0.066--
2012-05-23T12:44:00Sebastian HornbostelManual testing261262--0.133--
2013-12-06T02:46:00Jerry HallettManual testing262263--0.425--
2015-03-03T21:35:00VictordeHollanderManual testing263264--0.849--
2015-03-03T21:35:00VictordeHollanderManual testing264265--1.616--
2015-10-22T10:17:25ramgeisManual testing265266--3.233--
2017-05-31T02:32:35Gordon SpenceManual testing266267--6.465--
2019-04-22T13:11:36TJAOIManual testing267268--12.93--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.095 GHz-days
Estimated T-Level:22.036
DigitsB1CurvesCompleteFacMiss
2011000114 / 1001.14031.799%
2550000114 / 2800.40766.506%

New Calculation Method

Total ECM effort:10.095 GHz-days
Estimated T-Level:22.036
DigitsB1CompleteFacMiss
20110003.6772.529%
25500000.33271.723%
302500000.02097.974%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001119.83
50000500000030.266


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computers212B70675799D2A90.156
2018-05-03T17:56:52kkmrkkblmbrbkold212B70675799D2A90.156


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-15T10:55:14Maciej KmieciakAsrock
347400225104763808343
09B85573FAD67490no


P-1 factor-bounds graph:
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (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: 2020-12-15T10:55:14+00:00