is 2 2401579 - 1
has 722948 decimal digits
takes 0.162 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6D9ACDBF5B2E816Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27099.497368.5714%3102822434395080.51925.7699%100.016570.3848%1.8134%
PrimeNet2590.032062.7119%100001700000.00182.4799%0.033863.6366%0.9247%
GPU722630.664665.0794%100001400000.00171.2750%0.666265.5246%0.4452%
Difference+7+98.8327+3.4921%+3092822+43299508+0.5175+4.4949%+99.3503+4.8602%+4.8602%

Known prime factors (1 factor, 79.5 bits, 0.00331062% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
24015798590792338946036525590072479.507178857167283400557
3 × 7 × 37 × 41 × 113 × 49684740877
2020-09-041134968474087782,727265.16495.25

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2010-11-16T23:08:00Jocelyn LaroucheManual testing2000020000---0.002--0.183%
2011-01-01T10:38:00Oscar Östlin7501175011---0.007--0.508%
2011-01-23T04:05:00Oscar Östlin900001845000---0.018--1.807%
2014-02-15T10:17:00mikrMSI310282243439508---0.519--5.770%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2004-04-29T00:00:00ANONYMOUSv4_computers21258--0.016--
1999-07-26T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:13Mark RoseManual testing259260--0.032--
2009-01-15T15:15:00Sturle Sundegibus.ifi260261--0.064--
2012-06-03T09:42:00Sebastian HornbostelManual testing261262--0.128--
2013-01-23T08:27:00dbaughManual testing262263--0.409--
2015-02-27T20:40:00VictordeHollanderManual testing263264--0.818--
2015-02-27T20:40:00VictordeHollanderManual testing264265--1.556--
2015-10-21T10:28:03ramgeisManual testing265266--3.112--
2017-06-29T16:14:23Gordon SpenceManual testing266267--6.223--
2019-01-17T11:08:49Anton RepkoManual testing267269--37.34--
2019-01-29T16:50:01YxinityManual testing269270--49.79--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.211 GHz-days
Estimated T-Level:4.050
DigitsB1CurvesCompleteFacMiss
201100081 / 1000.81044.305%
255000081 / 2800.28974.841%

New Calculation Method

Total ECM effort:7.211 GHz-days
Estimated T-Level:4.050
DigitsB1CompleteFacMiss
20110003.1154.436%
25500000.28874.957%
302500000.01898.198%


ECM Summary

B1B2factorcurvesGHz-days
500005000000786.944
50000500000030.267


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-09-21T00:00:00ANONYMOUSv4_computers6D9ACDBF5B2E816E0.162
2015-03-28T17:59:00MadPooManual testing6D9ACDBF5B2E816E0.162


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-07T08:11:10fre_gamesgpu
859079233894603652559007
0824A42222FDE8C5no
2020-09-08T15:07:42marssystemssystem03
859079233894603652559007
0824A42222FDE8C5no


P-1 factor-bounds graph:
B1 = 3102822, B2 = 43439508 (P-1 stage 2)
B1 = 3102822 (P-1 stage 1)
B1 = 90000, B2 = 1845000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
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1010
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TF factor-bounds graph:
270
269
267
266
265
264
263
262
261
260
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2100
Last modified: 2020-09-08T15:07:42+00:00