is 2 2254517 - 1
has 678678 decimal digits
takes 0.148 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L33C3953519271EE0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.438067.6471%58905058905000.08373.9640%26.521768.9295%1.2825%
PrimeNet2580.017062.0690%100001900000.00192.9173%0.018963.1755%1.1066%
GPU722620.272564.5161%120001900000.00211.7054%0.274665.1213%0.6052%
Difference+6+26.1655+3.1309%+577050+5700500+0.0816+2.2586%+26.2471+3.8083%+3.8083%

Known prime factors (1 factor, 68.8 bits, 0.00305093% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22545175081297719334435124072168.784112691492664159
3 × 23 × 67 × 24376269233
2020-03-06672437626923333.205126.62236.48

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-03T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.228%
2010-11-06T12:26:00Jocelyn LaroucheManual testing1500015000---0.001--0.200%
2010-11-14T20:17:00Jocelyn LaroucheManual testing2000020000---0.002--0.257%
2010-11-24T02:13:00Oscar Östlin7501175011---0.007--0.676%
2011-01-16T13:31:00Oscar Östlin850001636250---0.016--2.195%
2014-06-03T02:15:00Jocelyn LaroucheManual testing113469113469---0.011--0.869%
2014-10-03T21:04:00Jocelyn LaroucheManual testing141938141938---0.014--0.987%
2016-01-20T23:38:51Jocelyn LaroucheManual testing58905058905006---0.084--3.964%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:10Mark RoseManual testing21260--0.068--
2009-01-11T11:41:00Sturle Sundegolan.ifi260261--0.068--
2012-05-04T15:47:00Sebastian HornbostelManual testing261262--0.136--
2013-01-23T08:24:00dbaughManual testing262263--0.435--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.871--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.657--
2015-10-28T09:42:38ramgeisManual testing265266--3.315--
2017-01-05T21:20:50Gordon SpenceManual testing266267--6.629--
2019-05-20T13:24:27TJAOIManual testing267268--13.26--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.037 GHz-days
Estimated T-Level:2.350
DigitsB1CurvesCompleteFacMiss
201100047 / 1000.47062.353%
255000047 / 2800.16884.522%

New Calculation Method

Total ECM effort:4.037 GHz-days
Estimated T-Level:2.350
DigitsB1CompleteFacMiss
20110001.51621.956%
25500000.13787.195%
302500000.00899.160%


ECM Summary

B1B2factorcurvesGHz-days
500005000000453.865
50000500000020.172


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computers33C3953519271EE00.148
2018-04-23T12:55:06kkmrkkblmbrbkold33C3953519271EE00.148


PRP results:
dateuseridcompidcofactorsres64PRP
2020-03-07T02:20:35Niels_Mache_NextcloudSuperDry-X
508129771933443512407
EE8629D7E865BAC6no
2020-03-07T21:20:21marssystemssystem11
508129771933443512407
EE8629D7E865BAC6no


P-1 factor-bounds graph:
B1 = 589050, B2 = 5890500 (P-1 stage 2)
B1 = 589050 (P-1 stage 1)
B1 = 85000, B2 = 1636250 (P-1 stage 2)
B1 = 141938 (P-1 stage 1)
B1 = 113469 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (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: 2020-03-07T21:20:21+00:00