is 2 2598259 - 1
has 782154 decimal digits
takes 0.180 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEB2E005B045C484Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.940367.6471%32000001120000000.91808.0877%23.858370.2637%2.6166%
PrimeNet2590.029662.7119%110002000000.00212.6946%0.031763.7166%1.0047%
GPU722630.614365.0794%120002000000.00221.5301%0.616565.6137%0.5343%
Difference+5+22.3260+2.5677%+3188000+111800000+0.9158+6.5576%+23.2418+4.6500%+4.6500%

Known prime factors (1 factor, 68.8 bits, 0.00264809% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25982595153665983532174648312168.80499175370575685
5 × 3041 × 6522549857
2020-07-023041652254985737.60735.74166.753

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.238%
2003-11-08T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.781%
2010-11-16T23:08:00Jocelyn LaroucheManual testing2000020000---0.002--0.266%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.533%
2011-04-18T21:58:00James HeinrichWHS1750004156250---0.039--3.185%
2016-08-31T11:07:13mikrMSI320000011200000012---0.918--8.088%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:17Mark RoseManual testing21260--0.059--
2009-01-30T05:30:00Sturle Sundenouchcraft.ifi260261--0.059--
2012-06-23T12:43:00Sebastian HornbostelManual testing261262--0.118--
2013-01-14T11:55:00dbaughManual testing262263--0.378--
2015-02-27T20:35:00VictordeHollanderManual testing263264--0.756--
2015-02-27T20:35:00VictordeHollanderManual testing264265--1.438--
2015-11-05T09:47:20ramgeisManual testing265266--2.876--
2017-08-21T17:34:52Gordon SpenceManual testing266267--5.752--
2019-03-11T11:16:30TJAOIManual testing267268--11.50--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.236 GHz-days
Estimated T-Level:1.750
DigitsB1CurvesCompleteFacMiss
201100035 / 1000.35070.345%
255000035 / 2800.12588.230%

New Calculation Method

Total ECM effort:3.236 GHz-days
Estimated T-Level:1.750
DigitsB1CompleteFacMiss
20110001.12932.335%
25500000.10290.299%
302500000.00699.374%


ECM Summary

B1B2factorcurvesGHz-days
500005000000333.051
50000500000020.185


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computersEB2E005B045C484A0.180
2018-06-25T16:08:13kkmrkkblmbrbkoldEB2E005B045C484A0.180


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-02T23:29:20riccardo ubertiColab_noGPU12
515366598353217464831
58538A0F8A866B73no
2020-07-03T20:31:30marssystemssystem03
515366598353217464831
58538A0F8A866B73no


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 175000, B2 = 4156250 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
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
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-07-03T20:31:30+00:00