is 2 2361253 - 1
has 710808 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-L89BBB71B1042F861double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.242967.6471%30000001000000000.81157.8342%26.054470.1816%2.5346%
PrimeNet2590.032562.7119%100001700000.00182.4720%0.034463.6336%0.9218%
GPU722630.675965.0794%100001400000.00171.2706%0.677665.5231%0.4437%
Difference+5+24.5670+2.5677%+2990000+99860000+0.8099+6.5636%+25.3769+4.6586%+4.6586%

Known prime factors (1 factor, 78.3 bits, 0.00331510% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23612533664392731819232853715532478.27877594241951608592
24 × 3 × 7 × 211 × 1094479828927
2020-07-05211109447982892729,6965,841.110,910

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%
2010-12-23T20:27:00Oscar Östlin7501175011---0.007--0.682%
2011-01-22T21:33:00Oscar Östlin900001822500---0.018--2.297%
2014-08-07T10:52:00Jocelyn LaroucheManual testing117182117182---0.011--0.893%
2014-10-22T23:53:00Jocelyn LaroucheManual testing144364144364---0.014--1.004%
2015-08-23T18:21:00mikrMSI3000000100000000---0.812--7.834%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-01T00:00:00Charlie Dorianv4_computers21259--0.033--
2016-02-23T16:29:12Mark RoseManual testing259260--0.033--
2009-01-11T06:47:00Sturle Sundeghini.ifi260261--0.065--
2012-05-30T12:43:00Sebastian 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--3.165--
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:5.862 GHz-days
Estimated T-Level:3.300
DigitsB1CurvesCompleteFacMiss
201100066 / 1000.66051.514%
255000066 / 2800.23678.967%

New Calculation Method

Total ECM effort:5.862 GHz-days
Estimated T-Level:3.300
DigitsB1CompleteFacMiss
20110002.12911.895%
25500000.19282.496%
302500000.01298.822%


ECM Summary

B1B2factorcurvesGHz-days
500005000000635.595
50000500000030.266


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00Charlie Dorianv4_computers89BBB71B1042F8610.160
2018-05-11T03:32:45kkmrkkblmbrbkold89BBB71B1042F8610.160


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-05T16:21:40riccardo ubertiColab_noGPU12
366439273181923285371553
CBF1F9F15F945E24no
2020-07-06T21:38:15marssystemssystem03
366439273181923285371553
CBF1F9F15F945E24no


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 = 144364 (P-1 stage 1)
B1 = 117182 (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: 2020-07-06T21:38:15+00:00