is 2 2459209 - 1
has 740296 decimal digits
takes 0.171 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L98ED19045F4AAB37double-checked
PRP01E268EEA0D4D8C5verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.237467.6471%2382500857701000.69657.5413%24.934070.0869%2.4398%
PrimeNet2590.031262.7119%100001800000.00192.5301%0.033263.6553%0.9434%
GPU722630.649065.0794%100001600000.00181.3344%0.650865.5453%0.4660%
Difference+5+23.5884+2.5677%+2372500+85610100+0.6947+6.2070%+24.2831+4.5416%+4.5416%

Known prime factors (1 factor, 75.3 bits, 0.00306093% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2459209456995792650596252879832375.2759291520010104799
1429669 × 6499070771
2020-11-21142966964990707715,293.035.74866.513

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.234%
2003-10-31T00:00:00Team Prime Ribv4_computers15000232500---0.003--0.788%
2010-12-22T11:37:00Jocelyn LaroucheManual testing2000020000---0.002--0.263%
2011-01-20T04:03:00Oscar Östlin950001947500---0.020--2.375%
2014-05-29T03:14:00mikrMSI238250085770100---0.697--7.541%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-04-23T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:14Mark RoseManual testing259260--0.031--
2009-01-11T11:22:00Sturle Sundegibus.ifi260261--0.062--
2012-06-07T18:43:00Sebastian HornbostelManual testing261262--0.125--
2013-01-23T08:28:00dbaughManual testing262263--0.399--
2015-03-03T21:37:00VictordeHollanderManual testing263264--0.798--
2015-03-03T21:37:00VictordeHollanderManual testing264265--1.519--
2015-10-26T11:51:00ramgeisManual testing265266--3.039--
2017-07-15T13:17:46Gordon SpenceManual testing266267--6.077--
2019-07-01T11:11:01TJAOIManual testing267268--12.15--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.805 GHz-days
Estimated T-Level:4.800
DigitsB1CurvesCompleteFacMiss
201100096 / 1000.96038.105%
255000096 / 2800.34370.930%

New Calculation Method

Total ECM effort:8.805 GHz-days
Estimated T-Level:4.800
DigitsB1CompleteFacMiss
20110003.0974.519%
25500000.28075.587%
302500000.01798.291%


ECM Summary

B1B2factorcurvesGHz-days
500005000000908.254
50000500000060.550


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computers98ED19045F4AAB370.171
2018-05-26T15:44:48kkmrkkblmbrbkold98ED19045F4AAB370.171


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-21T16:21:12mrhw
45699579265059625287983
01E268EEA0D4D8C5no


P-1 factor-bounds graph:
B1 = 2382500, B2 = 85770100 (P-1 stage 2)
B1 = 2382500 (P-1 stage 1)
B1 = 95000, B2 = 1947500 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 232500 (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
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1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
250
260
270
280
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2100
Last modified: 2020-11-21T16:21:12+00:00