is 2 2355191 - 1
has 708984 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-LAD397FEE6370DF0Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.307967.6471%30000001000000000.81157.8322%26.119470.1810%2.5339%
PrimeNet2580.016362.0690%110002000000.00213.0499%0.018463.2258%1.1568%
GPU722620.260964.5161%130002200000.00241.8363%0.263265.1677%0.6516%
Difference+6+25.0470+3.1309%+2987000+99780000+0.8092+5.9959%+25.8562+5.0133%+5.0133%

Known prime factors (1 factor, 85.7 bits, 0.00363730% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2355191613557800626143085318198492685.66513025648463885584764
22 × 19 × 171390111366915589
2020-05-09191713901113669155894,107,629914,689,9811.708e+9

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%
2010-12-04T15:00:00Oscar Östlin7501175011---0.007--0.682%
2011-01-23T01:51:00Oscar Östlin900001822500---0.018--2.296%
2014-08-07T10:52:00Jocelyn LaroucheManual testing117252117252---0.011--0.893%
2014-10-22T23:53:00Jocelyn LaroucheManual testing144504144504---0.014--1.004%
2015-08-04T11:25:00mikrMSI3000000100000000---0.812--7.832%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:12Mark RoseManual testing21260--0.065--
2009-01-15T04:32:00Sturle Sundefigaro.ifi260261--0.065--
2012-05-29T17:43:00Sebastian HornbostelManual testing261262--0.130--
2013-01-23T08:26:00dbaughManual testing262263--0.417--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.834--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.586--
2015-10-28T09:42:39ramgeisManual testing265266--3.173--
2017-06-11T03:38:02Gordon SpenceManual testing266267--6.346--
2019-04-29T13:20:25TJAOIManual testing267268--12.69--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.705 GHz-days
Estimated T-Level:2.650
DigitsB1CurvesCompleteFacMiss
201100053 / 1000.53058.704%
255000053 / 2800.18982.727%

New Calculation Method

Total ECM effort:4.705 GHz-days
Estimated T-Level:2.650
DigitsB1CompleteFacMiss
20110001.71018.092%
25500000.15585.683%
302500000.01099.053%


ECM Summary

B1B2factorcurvesGHz-days
500005000000514.528
50000500000020.178


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersAD397FEE6370DF0D0.159
2018-05-10T08:43:30kkmrkkblmbrbkoldAD397FEE6370DF0D0.159


PRP results:
dateuseridcompidcofactorsres64PRP
2020-05-09T16:24:31CrypticCluecruncher
61355780062614308531819849
9852B355FB2CFD98no
2020-05-10T12:46:47marssystemssystem03
61355780062614308531819849
9852B355FB2CFD98no


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 = 144504 (P-1 stage 1)
B1 = 117252 (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: 2020-05-10T12:46:47+00:00