is 2 2418659 - 1
has 728089 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-L085F6472952C6254double-checked
PRPA320A82CA0D8FB86verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27098.794768.5714%3102822434395080.51925.7742%99.313970.3862%1.8148%
PrimeNet2590.031862.7119%100001800000.00192.5222%0.033663.6523%0.9405%
GPU722630.659965.0794%100001400000.00171.2769%0.661565.5253%0.4459%
Difference+7+98.1348+3.4921%+3092822+43299508+0.5175+4.4974%+98.6523+4.8609%+4.8609%

Known prime factors (1 factor, 87.5 bits, 0.00361650% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
24186592144475934666231509853025932787.47144331919767652891744
25 × 64794559 × 21381000413
2021-01-03647945592138100041323,067,804120.11213.12

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.150%
2010-11-09T22:13:00Jocelyn LaroucheManual testing1500015000---0.001--0.140%
2010-11-16T23:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.183%
2010-12-18T23:28:00markrtiny950001923750---0.019--1.851%
2014-04-04T07:53:00mikrMSI310282243439508---0.519--5.774%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00akohlerv4_computers21259--0.032--
2016-02-23T16:29:13Mark RoseManual testing259260--0.032--
2009-01-11T16:20:00Sturle Sundeothello.ifi260261--0.064--
2012-06-04T15:42:00Sebastian HornbostelManual testing261262--0.127--
2013-12-04T21:13:00Jerry HallettManual testing262263--0.406--
2015-02-27T20:40:00VictordeHollanderManual testing263264--0.812--
2015-02-27T20:40:00VictordeHollanderManual testing264265--1.545--
2015-10-22T10:17:20ramgeisManual testing265266--3.090--
2017-07-05T06:34:28Gordon SpenceManual testing266267--6.179--
2019-04-02T08:43:48Anton RepkoManual testing267269--37.08--
2019-04-18T10:04:26Anton RepkoManual testing269270--49.43--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.624 GHz-days
Estimated T-Level:21.929
DigitsB1CurvesCompleteFacMiss
2011000108 / 1001.08033.775%
2550000108 / 2800.38667.950%

New Calculation Method

Total ECM effort:9.624 GHz-days
Estimated T-Level:21.929
DigitsB1CompleteFacMiss
20110003.4843.069%
25500000.31572.988%
302500000.01998.080%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001039.179
50000500000050.446


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23T00:00:00ANONYMOUSv4_computers085F6472952C62540.163
2018-05-19T14:12:20kkmrkkblmbrbkold085F6472952C62540.163


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-04T21:01:29riccardo ubertiDuallie
214447593466623150985302593
A320A82CA0D8FB86no


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)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
270
269
267
266
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2021-01-04T21:01:29+00:00