is 2 2344571 - 1
has 705787 decimal digits
takes 0.158 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-LC28C3CC424805D8Edouble-checked
PRPCD8AD0D724D8D9__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.422567.6471%60000001800000001.51648.9743%26.938970.5505%2.9035%
PrimeNet2580.016462.0690%110002000000.00213.0474%0.018563.2249%1.1559%
GPU722620.262064.5161%130002200000.00241.8347%0.264465.1672%0.6510%
Difference+6+25.1605+3.1309%+5987000+179780000+1.5140+7.1396%+26.6744+5.3834%+5.3834%

Known prime factors (1 factor, 82.1 bits, 0.00350100% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
234457151235863915655410635728972582.0831092649015868050288
24 × 127 × 397 × 1354460887597
2020-08-103971354460887597615,6087,228.613,501

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.231%
2010-03-01T08:44:00Budannan50000010000000---0.100--4.380%
2018-02-03T08:20:06Sid & AndyHand_In_The_Box600000018000000012---1.516--8.974%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:12Mark RoseManual testing21260--0.066--
2009-01-14T06:28:00Sturle Sundebuxtehude.ifi260261--0.066--
2012-05-29T08:42:00Sebastian HornbostelManual testing261262--0.131--
2013-01-23T08:26:00dbaughManual testing262263--0.419--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.837--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.594--
2015-10-26T11:50:56ramgeisManual testing265266--3.187--
2017-06-11T03:38:00Gordon SpenceManual testing266267--6.375--
2019-03-11T11:16:33TJAOIManual testing267268--12.75--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.275 GHz-days
Estimated T-Level:4.100
DigitsB1CurvesCompleteFacMiss
201100082 / 1000.82043.862%
255000082 / 2800.29374.574%

New Calculation Method

Total ECM effort:7.275 GHz-days
Estimated T-Level:4.100
DigitsB1CompleteFacMiss
20110003.1544.269%
25500000.29274.691%
302500000.01898.176%


ECM Summary

B1B2factorcurvesGHz-days
500005000000817.187
50000500000010.089


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00Guildensternv4_computersC28C3CC424805D8E0.158
2018-05-08T18:22:44kkmrkkblmbrbkoldC28C3CC424805D8E0.158


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-10T14:42:17ATHec2-PRPCF
5123586391565541063572897
CD8AD0D724D8D9__no


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: 2020-08-10T14:42:17+00:00