is 2 2260217 - 1
has 680394 decimal digits
takes 0.149 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDF17D786DA9AB42Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26952.820968.1159 %1000000200000000.19404.9023 %53.015069.6790 %
Target2620.271864.5161 %120009500000.00601.7063 %0.277865.1216 %
Difference+7+52.5491+3.5998 %+988000+19050000+0.1880+3.1960%+52.7371+4.5574 %

Known prime factors (1 factor, 100.3 bits, 0.00443740% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2260217155502582460854105747510334459131100.295343999232066775238279135
5 × 43444007 × 1583644124110261
2022-04-144344400715836441241102615.680e+108,225,84715,363,585

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2010-11-06JossManual testing1500015000--0.0010.583%
2010-11-12JossManual testing3000030000--0.0030.943%
2011-01-05markrtiny10000020750006--0.0204.777%
2014-09-02JossManual testing128397128397--0.0122.083%
2016-03-25JossManual testing34214434214406--0.0496.077%
2019-06-29BigBrotherWinston10000002000000012--0.1949.166%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.068
2009-01-11Sturle Sundecorbusier.ifi2602610.068
2012-05-05Sebastian HornbostelManual testing2612620.136
2013-01-23dbaughManual testing2622630.434
2015-03-10VictordeHollanderManual testing2632640.869
2015-03-10VictordeHollanderManual testing2642651.653
2015-10-29ramgeisManual testing2652663.306
2017-01-15Gordon SpenceManual testing2662676.612
2019-05-13TJAOIManual testing26726813.22
2021-07-15TJAOIManual testing26826926.45


ECM factoring results:
Total ECM effort:16.064 GHz-days
Estimated T-Level:23.331
DigitsB1CompleteFacMiss
20110007.1990.075%
25500000.66651.370%
302500000.04295.882%
3510000000.00299.804%


ECM Summary

B1B2factorcurvesGHz-days
50000500000015913.54
50000500000060.516
50000515000070.609
500006750000141.396


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15ANONYMOUSv4_computersDF17D786DA9AB42F0.149


PRP results:
dateuseridcompidcofactorsres64
2022-04-21LordJuliussurface7
1555025824608541057475103344591
E47AFF481E0B8E82


CERT results:
dateuseridcompid
2022-04-22curtiscwcm202--33l


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 342144, B2 = 3421440 (P-1 stage 2)
B1 = 342144 (P-1 stage 1)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 128397 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
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1010
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TF factor-bounds graph:
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268
267
266
265
264
263
262
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260
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=23.33 ~= 61-bit
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Last modified: 2024-02-29T14:28:04+00:00