is 2 2406731 - 1
has 724499 decimal digits
takes 0.163 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPE385BA2D7F444658verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27099.284368.5714%3102822434395080.51925.7712%99.803570.3852%1.8138%
PrimeNet2590.031962.7119%100001800000.00192.5198%0.033863.6515%0.9396%
GPU722630.663165.0794%100001400000.00171.2756%0.664865.5248%0.4454%
Difference+7+98.6212+3.4921%+3092822+43299508+0.5175+4.4956%+99.1387+4.8604%+4.8604%

Known prime factors (1 factor, 73.8 bits, 0.00306554% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2406731162099025606097509186632373.7793367618267394601
32 × 112 × 19 × 162757637011
2020-08-071211627576370111,004.9868.621,622.3

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.150%
2010-11-09T10:50:00Jocelyn LaroucheManual testing1500015000---0.001--0.140%
2010-11-16T23:08:00Jocelyn LaroucheManual testing2000020000---0.002--0.183%
2010-12-21T23:57:00markrtiny950001923750---0.019--1.849%
2014-03-02T04:41:00mikrMSI310282243439508---0.519--5.771%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:13Mark RoseManual testing259260--0.032--
2009-01-14T21:54:00Sturle Sundegopher.ifi260261--0.064--
2012-06-03T15:42:00Sebastian HornbostelManual testing261262--0.128--
2013-12-04T21:14:00Jerry HallettManual testing262263--0.408--
2015-02-27T20:40:00VictordeHollanderManual testing263264--0.816--
2015-02-27T20:40:00VictordeHollanderManual testing264265--1.552--
2015-10-21T10:28:05ramgeisManual testing265266--3.105--
2017-07-02T13:16:02Gordon SpenceManual testing266267--6.210--
2019-02-12T11:05:00Anton RepkoManual testing267269--37.26--
2019-03-12T16:20:13YxinityManual testing269270--49.68--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.590 GHz-days
Estimated T-Level:3.700
DigitsB1CurvesCompleteFacMiss
201100074 / 1000.74047.534%
255000074 / 2800.26476.739%

New Calculation Method

Total ECM effort:6.590 GHz-days
Estimated T-Level:3.700
DigitsB1CompleteFacMiss
20110002.3879.190%
25500000.21680.594%
302500000.01398.680%


ECM Summary

B1B2factorcurvesGHz-days
500005000000726.412
50000500000020.178


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00ANONYMOUSv4_computersD4DB2A2699C10D__0.163


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-07T03:39:41ATHec2-PRPCF
16209902560609750918663
E385BA2D7F444658no


P-1 factor-bounds graph:
B1 = 3102822, B2 = 43439508 (P-1 stage 2)
B1 = 3102822 (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: 2020-08-07T03:39:41+00:00