is 2 2385211 - 1
has 718021 decimal digits
takes 0.161 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L94968DFD3F3A5624double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.989467.6471%30000001000000000.81157.8420%25.800970.1842%2.5371%
PrimeNet2590.032262.7119%100001700000.00182.4767%0.034063.6354%0.9235%
GPU722630.669165.0794%100001400000.00171.2732%0.670865.5240%0.4446%
Difference+5+24.3202+2.5677%+2990000+99860000+0.8099+6.5688%+25.1301+4.6602%+4.6602%

Known prime factors (1 factor, 80.0 bits, 0.00335255% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
238521111801896904726000050405032579.965247397335177600641
3 × 11 × 71 × 105589985137687
2020-12-287110558998513768772,229563,5221,052,502

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.232%
2010-11-08T01:30:00Jocelyn LaroucheManual testing1500015000---0.001--0.203%
2010-11-15T22:51:00Jocelyn LaroucheManual testing2000020000---0.002--0.261%
2010-12-26T15:17:00markrtiny1000002075000---0.020--2.425%
2014-09-15T22:12:00ANONYMOUSManual testing126909126909---0.012--0.936%
2015-10-31T09:08:36mikrMSI300000010000000012---0.812--7.842%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-01T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:13Mark RoseManual testing259260--0.032--
2009-01-15T19:55:00Sturle Sundegoldiek.ifi260261--0.064--
2012-06-01T12:43:00Sebastian HornbostelManual testing261262--0.129--
2013-01-23T08:27:00dbaughManual testing262263--0.412--
2015-03-09T12:36:00VictordeHollanderManual testing263264--0.823--
2015-03-09T12:36:00VictordeHollanderManual testing264265--1.566--
2015-11-01T21:51:05ramgeisManual testing265266--3.133--
2017-06-22T00:32:49Gordon SpenceManual testing266267--6.266--
2019-03-18T11:45:39TJAOIManual testing267268--12.53--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.605 GHz-days
Estimated T-Level:21.929
DigitsB1CurvesCompleteFacMiss
2011000108 / 1001.08033.775%
2550000108 / 2800.38667.950%

New Calculation Method

Total ECM effort:9.605 GHz-days
Estimated T-Level:21.929
DigitsB1CompleteFacMiss
20110003.4843.069%
25500000.31572.988%
302500000.01998.080%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001069.427
50000500000020.178


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computers94968DFD3F3A56240.161
2018-05-15T19:59:46kkmrkkblmbrbkold94968DFD3F3A56240.161


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-28T09:15:33SRJ2877LTOS
1180189690472600005040503
93BE4CA0E3E7D729no
2020-12-28T18:54:43firejugglerMaison
1180189690472600005040503
93BE4CA0E3E7D729no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 126909 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
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)
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TF factor-bounds graph:
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Last modified: 2020-12-28T18:54:43+00:00