is 2 2361581 - 1
has 710907 decimal digits
takes 0.160 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA796FE5EA25EE094double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.239467.6471%30000001000000000.81157.8343%26.050970.1817%2.5346%
PrimeNet2590.032562.7119%100001700000.00182.4721%0.034463.6337%0.9218%
GPU722630.675865.0794%100001400000.00171.2706%0.677565.5231%0.4437%
Difference+5+24.5636+2.5677%+2990000+99860000+0.8099+6.5637%+25.3734+4.6586%+4.6586%

Known prime factors (1 factor, 70.3 bits, 0.00297537% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
236158114194948358249070298872270.266300539095594203
3 × 19 × 5272615712179
2021-01-28195272615712179113.0828,13952,556

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.231%
2010-11-03T21:25:00Jocelyn LaroucheManual testing2000020000---0.002--0.260%
2010-12-23T23:07:00Oscar Östlin7501175011---0.007--0.682%
2011-01-22T22:53:00Oscar Östlin900001822500---0.018--2.297%
2014-08-07T10:52:00Jocelyn LaroucheManual testing117179117179---0.011--0.893%
2014-10-22T23:53:00Jocelyn LaroucheManual testing144358144358---0.014--1.004%
2015-08-25T02:37:00mikrMSI3000000100000000---0.812--7.834%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-01T00:00:00ANONYMOUSv4_computers21259--0.033--
2016-02-23T16:29:12Mark RoseManual testing259260--0.033--
2009-01-11T11:00:00Sturle Sundeghini.ifi260261--0.065--
2012-05-30T12:44:00Sebastian HornbostelManual testing261262--0.130--
2013-01-23T08:26:00dbaughManual testing262263--0.416--
2015-03-09T12:35:00VictordeHollanderManual testing263264--0.831--
2015-03-09T12:35:00VictordeHollanderManual testing264265--1.582--
2015-10-29T11:36:26ramgeisManual testing265266--3.164--
2017-06-13T16:34:55Gordon SpenceManual testing266267--6.329--
2019-04-22T13:11:34TJAOIManual testing267268--12.66--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.480 GHz-days
Estimated T-Level:22.107
DigitsB1CurvesCompleteFacMiss
2011000118 / 1001.18030.546%
2550000118 / 2800.42165.561%

New Calculation Method

Total ECM effort:10.480 GHz-days
Estimated T-Level:22.107
DigitsB1CompleteFacMiss
20110003.8062.223%
25500000.34470.891%
302500000.02197.904%


ECM Summary

B1B2factorcurvesGHz-days
50000500000011610.30
50000500000020.178


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-11-15T03:19:14MadPooManual testingA796FE5EA25EE0940.160


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-30T15:21:43Sébastien BrouckePortable_Seb
1419494835824907029887
12BA2F5ECF3CD8__no
2021-01-31T16:39:57marssystemssystem11
1419494835824907029887
12BA2F5ECF3CD8BDno


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 = 144358 (P-1 stage 1)
B1 = 117179 (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: 2021-01-31T16:39:57+00:00