is 2 2359603 - 1
has 710312 decimal digits
takes 0.159 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF9B6D39C9519E3F9double-checked
PRP801BBE0F17BFD90Fverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26950.596168.1159%30000001000000000.81157.2168%51.407770.4170%2.3010%
PrimeNet2580.016362.0690%110002000000.00213.0509%0.018463.2262%1.1572%
GPU722620.260464.5161%130002200000.00241.8370%0.262765.1680%0.6518%
Difference+7+50.3358+3.5998%+2987000+99780000+0.8092+5.3798%+51.1449+5.2490%+5.2490%

Known prime factors (1 factor, 82.7 bits, 0.00350451% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
235960378144703817015627595686392582.6921655886685535991173
53 × 79 × 395482848229279
2021-07-2579395482848229279743,3132,110,6483,942,103

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.186%
2010-11-03T21:25:00Jocelyn LaroucheManual testing2000020000---0.002--0.218%
2010-12-23T00:35:00Oscar Östlin7501175011---0.007--0.588%
2011-01-23T17:15:00Oscar Östlin900001822500---0.018--2.033%
2014-08-07T10:52:00Jocelyn LaroucheManual testing117201117201---0.011--0.776%
2014-10-22T23:53:00Jocelyn LaroucheManual testing144402144402---0.014--0.875%
2015-08-18T17:19:00mikrMSI3000000100000000---0.812--7.217%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:12Mark RoseManual testing21260--0.065--
2009-01-17T17:51:00Sturle Sundekraus.ifi260261--0.065--
2012-05-30T07:43:00Sebastian HornbostelManual testing261262--0.130--
2013-12-04T21:14:00Jerry HallettManual testing262263--0.416--
2015-03-09T12:35:00VictordeHollanderManual testing263264--0.832--
2015-03-09T12:35:00VictordeHollanderManual testing264265--1.583--
2015-10-29T11:36:25ramgeisManual testing265266--3.167--
2017-06-13T16:34:54Gordon SpenceManual testing266267--6.334--
2019-04-22T13:11:35TJAOIManual testing267268--12.67--
2021-06-10T09:22:14TJAOIManual testing268269--25.34--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.116 GHz-days
Estimated T-Level:22.625
DigitsB1CurvesCompleteFacMiss
2011000147 / 1001.47022.823%
2550000147 / 2800.52559.100%

New Calculation Method

Total ECM effort:13.116 GHz-days
Estimated T-Level:22.625
DigitsB1CompleteFacMiss
20110005.6650.347%
25500000.52559.177%
302500000.03396.744%
3510000000.00299.845%


ECM Summary

B1B2factorcurvesGHz-days
50000500000014012.43
50000620000070.684


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-09T00:00:00ANONYMOUSv4_computersF9B6D39C9519E3F90.159
1999-05-30T00:00:00Moopsv4_computersF9B6D39C9519E3F90.159
2018-05-10T20:59:58kkmrkkblmbrbkoldF9B6D39C9519E3F90.159


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-27T01:39:11kutenspve2
7814470381701562759568639
801BBE0F17BFD90Fno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 90000, B2 = 1822500 (P-1 stage 2)
B1 = 144402 (P-1 stage 1)
B1 = 117201 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-07-27T01:39:11+00:00