is 2 2416409 - 1
has 727412 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-LFC4D2A1063CA552Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27098.886768.5714%3102822434395080.51925.7737%99.405970.3860%1.8146%
PrimeNet2590.031862.7119%100001800000.00192.5217%0.033763.6522%0.9403%
GPU722630.660565.0794%100001400000.00171.2766%0.662265.5252%0.4458%
Difference+7+98.2262+3.4921%+3092822+43299508+0.5175+4.4970%+98.7437+4.8608%+4.8608%

Known prime factors (1 factor, 83.4 bits, 0.00345328% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2416409131702679540749468133078792683.4452725173584868072171
3 × 383 × 1173463 × 2021178833
2020-06-21117346320211788331,240,76110.89520.147

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.150%
2010-11-09T22:12:00Jocelyn LaroucheManual testing1500015000---0.001--0.140%
2010-11-16T23:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.183%
2010-12-19T11:56:00markrtiny950001923750---0.019--1.850%
2014-03-30T11:29:00mikrMSI310282243439508---0.519--5.774%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.032--
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:13Mark RoseManual testing259260--0.032--
2009-01-16T15:28:00Sturle Sundeghia.ifi260261--0.064--
2012-06-04T09:41:00Sebastian HornbostelManual testing261262--0.127--
2013-01-23T08:28:00dbaughManual testing262263--0.406--
2015-02-27T20:40:00VictordeHollanderManual testing263264--0.812--
2015-02-27T20:40:00VictordeHollanderManual testing264265--1.546--
2015-10-22T10:17:19ramgeisManual testing265266--3.092--
2017-07-02T13:16:06Gordon SpenceManual testing266267--6.185--
2019-03-25T08:13:46Anton RepkoManual testing267269--37.11--
2019-04-02T13:59:13YxinityManual testing269270--49.48--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.633 GHz-days
Estimated T-Level:2.600
DigitsB1CurvesCompleteFacMiss
201100052 / 1000.52059.297%
255000052 / 2800.18683.023%

New Calculation Method

Total ECM effort:4.633 GHz-days
Estimated T-Level:2.600
DigitsB1CompleteFacMiss
20110001.67718.686%
25500000.15285.933%
302500000.00999.071%


ECM Summary

B1B2factorcurvesGHz-days
500005000000514.544
50000500000010.089


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23T00:00:00curtiscv4_computersFC4D2A1063CA552A0.163
2018-05-19T02:50:02kkmrkkblmbrbkoldFC4D2A1063CA552A0.163


PRP results:
dateuseridcompidcofactorsres64PRP
2020-06-21T09:23:33CrypticClueManual testing
13170267954074946813307879
EF22B41548140215no
2020-06-25T08:14:27Luigi Morelli9800X
13170267954074946813307879
EF22B41548140215no


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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1010
TF factor-bounds graph:
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Last modified: 2020-06-25T08:14:27+00:00