is 2 2418781 - 1
has 728126 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-LA363B3279070918Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27098.789768.5714%3102822434395080.51925.7743%99.308970.3862%1.8148%
PrimeNet2590.031762.7119%100001800000.00192.5222%0.033663.6523%0.9405%
GPU722630.659865.0794%100001400000.00171.2769%0.661565.5253%0.4459%
Difference+7+98.1298+3.4921%+3092822+43299508+0.5175+4.4974%+98.6474+4.8609%+4.8609%

Known prime factors (1 factor, 81.9 bits, 0.00338499% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
241878144361962970295466769592632581.876917031409009237851
3 × 7 × 15889 × 2748326662079
2020-07-14158892748326662079304,62714,66827,395

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%
2014-04-04T12:25:00mikrMSI310282243439508---0.519--5.774%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-08T00:00:00ANONYMOUSv4_computers21258--0.016--
1998-04-11T00:00:00ANONYMOUSv4_computers21258--0.016--
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:14Mark RoseManual testing259260--0.032--
2009-01-11T17:07:00Sturle Sundeothello.ifi260261--0.063--
2012-06-04T15:43:00Sebastian 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--1.545--
2015-10-22T10:17:20ramgeisManual testing265266--3.089--
2017-07-05T06:34:28Gordon SpenceManual testing266267--6.179--
2019-04-03T13:27:27Anton RepkoManual testing267269--37.07--
2019-04-20T09:26:45Anton RepkoManual testing269270--49.43--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.614 GHz-days
Estimated T-Level:3.150
DigitsB1CurvesCompleteFacMiss
201100063 / 1000.63053.091%
255000063 / 2800.22579.819%

New Calculation Method

Total ECM effort:5.614 GHz-days
Estimated T-Level:3.150
DigitsB1CompleteFacMiss
20110002.03213.104%
25500000.18483.221%
302500000.01198.875%


ECM Summary

B1B2factorcurvesGHz-days
500005000000605.347
50000500000030.267


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-08T00:00:00ANONYMOUSv4_computersA363B3279070918E0.163
1998-04-11T00:00:00ANONYMOUSv4_computersA363B3279070918E0.163
1999-04-13T00:00:00ANONYMOUSv4_computersA363B3279070918E0.163
2018-05-19T14:43:24kkmrkkblmbrbkoldA363B3279070918E0.163


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-14T12:42:40CrypticClueManual testing
4436196297029546676959263
DF2BD6250CE7493Ano
2020-07-14T14:21:23oodairacom2
4436196297029546676959263
DF2BD6250CE7493Ano


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
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
270
269
267
266
265
264
263
262
261
260
259
258
250
260
270
280
290
2100
Last modified: 2020-07-14T14:21:23+00:00