is 2 2989043 - 1
has 899792 decimal digits
takes 0.254 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LF1697C93B5A3A492double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26939.941568.1159 %3000000900000000.95527.2673 %40.896770.4330 %
Target2641.190865.6250 %1300010000000.00821.3859 %1.199066.1014 %
Difference+5+38.7507+2.4909 %+2987000+89000000+0.9470+5.8813%+39.6976+4.3316 %

Known prime factors (1 factor, 82.9 bits, 0.00277217% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
298904387844180284910555126523832582.8611469436543484161237
32 × 37 × 4412722352805289
2022-09-17374412722352805289327,68629,670,16455,415,605

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-12-13ANONYMOUSv4_computers2048204800--0.0020.568%
2003-12-23Team Prime Ribv4_computers1000010000--0.0010.313%
2010-10-22markrtiny10000020250006--0.0253.958%
2016-06-21JossManual testing19840040500006--0.0505.037%
2017-07-10JossManual testing39680039680006--0.0735.393%
2019-11-08BigBrotherWinston30000009000000012--0.95510.789%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-05-02ANONYMOUSv4_computers212600.026
2009-02-13Sturle Sundeothello.ifi2602610.051
2011-11-25Sebastian HornbostelManual testing2612620.103
2013-01-07dbaughManual testing2622630.328
2015-02-06lycornManual testing2632640.657
2015-02-06lycornManual testing2642651.250
2016-02-29ramgeisManual testing2652662.500
2017-12-07Gordon SpenceManual testing2662675.000
2018-12-28chuenkitManual testing26726810.00
2021-04-28TJAOIManual testing26826920.00


ECM factoring results:
Total ECM effort:13.318 GHz-days
Estimated T-Level:22.036
DigitsB1CompleteFacMiss
20110004.3921.237%
25500000.40766.549%
302500000.02697.461%
3510000000.00199.880%


ECM Summary

B1B2factorcurvesGHz-days
5000050000009510.92
50000635000070.909
50000690000070.948
50000690000040.542


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-01-12ANONYMOUSv4_computersF1697C93B5A3A4920.254
2018-10-22kkmrkkblmbrbkoldF1697C93B5A3A4920.254


PRP results:
dateuseridcompidcofactorsres64
2022-09-21LaurVbc1
8784418028491055512652383
09C674D4B0F31FB2


CERT results:
dateuseridcompid
2022-09-21steppenwolff


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 396800, B2 = 3968000 (P-1 stage 2)
B1 = 198400, B2 = 4050000 (P-1 stage 2)
B1 = 396800 (P-1 stage 1)
B1 = 100000, B2 = 2025000 (P-1 stage 2)
B1 = 198400 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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100
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1016
TF factor-bounds graph:
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268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=22.04 ~= 57-bit
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Last modified: 2024-02-09T03:30:02+00:00