is 2 2359043 - 1
has 710143 decimal digits
takes 0.159 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LEA3409518D6757FFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26825.266567.6471 %30000001000000000.81157.8334 %26.078170.1814 %
Target2620.260464.5161 %1300011000000.00711.8369 %0.267565.1679 %
Difference+6+25.0061+3.1309 %+2987000+98900000+0.8045+5.9965%+25.8106+5.0135 %

Known prime factors (1 factor, 70.0 bits, 0.00296666% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
235904311682521063141848847772269.985247611448013916
22 × 3 × 7 × 2947755333499
2020-04-297294775533349950.60815,73229,383

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21ANONYMOUSv4_computers2048204800--0.0010.794%
2010-11-03JossManual testing2000020000--0.0020.725%
2010-12-22Oscar Östlin7501175011--0.0081.611%
2011-01-23Oscar Östlin9000018225006--0.0194.605%
2014-08-07JossManual testing117208117208--0.0122.010%
2014-10-22JossManual testing144416144416--0.0152.214%
2015-08-15mikrMSI300000010000000012--0.81212.429%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.065
2009-01-17Sturle Sundekraus.ifi2602610.065
2012-05-30Sebastian HornbostelManual testing2612620.130
2013-12-04Jerry HallettManual testing2622630.416
2015-03-06VictordeHollanderManual testing2632640.832
2015-03-06VictordeHollanderManual testing2642651.584
2015-10-29ramgeisManual testing2652663.168
2017-06-13Gordon SpenceManual testing2662676.335
2019-04-22TJAOIManual testing26726812.67


ECM factoring results:
Total ECM effort:4.398 GHz-days
Estimated T-Level:20.907
DigitsB1CompleteFacMiss
20110001.96214.064%
25500000.18183.402%
302500000.01198.862%


ECM Summary

B1B2factorcurvesGHz-days
500005000000484.132
50000500000030.266


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15ANONYMOUSv4_computersEA3409518D6757FF0.159
2018-05-10kkmrkkblmbrbkoldEA3409518D6757FF0.159


PRP results:
dateuseridcompidcofactorsres64
2020-04-29atrenchDesktop
1168252106314184884777
2CC2C6C2F05AE0CC
2020-04-30M Millercruncher
1168252106314184884777
2CC2C6C2F05AE0CC


CERT results:
No CERT results for M2359043


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 = 144416 (P-1 stage 1)
B1 = 117208 (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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this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=20.91 ~= 53-bit
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Last modified: 2024-02-29T14:28:04+00:00