is 2 2213039 - 1
has 666192 decimal digits
takes 0.146 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L14DE29FA17235371double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.426767.1642 %10000001060000000.64077.7293 %14.067569.7021 %
Target2620.277664.5161 %110008500000.00541.6019 %0.283065.0846 %
Difference+5+13.1491+2.6481 %+989000+105150000+0.6353+6.1273%+13.7845+4.6176 %

Known prime factors (2 factors, 144.3 bits, 0.00652022% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22130391400521217825158405932166.92531642488402264
23 × 32 × 17 × 25851706211
2020-12-2317258517062116.6734134.28250.80
22130391953683275803272763259212477.37144140281210662640
24 × 3 × 5 × 173 × 1063108892357
2015-03-17173106310889235713,8315,522.110,314

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers30000502500--0.0052.787%
2014-08-22JossManual testing129003129003--0.0122.080%
2015-02-23JossManual testing640344640344--0.0613.947%
2015-03-08JossManual testing704378704378--0.0674.077%
2015-03-12JossManual testing774815774815--0.0744.210%
2016-04-22alpertronManual testing5000001500000012---8.276%
2021-06-28Dylan Delgadodesktoplinux1000000106000000--0.64111.653%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07lozcsv4_computers212580.017
2022-03-09LordJuliusManual testing21260
2009-01-07Sturle Sundehindemith.ifi2602610.069
2012-04-17Sebastian HornbostelManual testing2612620.139
2013-02-21dbaughManual testing2622630.444
2015-03-06VictordeHollanderManual testing2632640.887
2015-03-06VictordeHollanderManual testing2642651.688
2022-03-09LordJuliusManual testing265266
2020-12-23TJAOIManual testing266267*66.925216.244


ECM factoring results:
Total ECM effort:8.226 GHz-days
Estimated T-Level:21.612
DigitsB1CompleteFacMiss
20110003.4623.138%
25500000.32272.441%
302500000.02097.972%


ECM Summary

B1B2factorcurvesGHz-days
10.171
500005000000120.889
50000673725180.784
50000690000070.694
500007000000575.688


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-14ANONYMOUSv4_computers14DE29FA172353710.146
1999-03-26lozcsv4_computers14DE29FA172353710.146


PRP results:
dateuseridcompidcofactorsres64
2017-10-09Oliver KruseGTX-2
195368327580327276325921
3C2E944A5A515C14
2017-11-20kkmrkkblmbrbkc4.xlarge
195368327580327276325921
3C2E944A5A515C14
2020-12-24Maciej KmieciakAsrock
195368327580327276325921
140052121782515840593
A4551005430CAACC


CERT results:
dateuseridcompid
2020-12-24kxLDccUGranny


P-1 factor-bounds graph:
B1 = 1000000, B2 = 106000000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 774815 (P-1 stage 1)
B1 = 704378 (P-1 stage 1)
B1 = 640344 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 129003 (P-1 stage 1)
B1 = 30000, B2 = 502500 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
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100
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1010
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TF factor-bounds graph:
266
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.61 ~= 55-bit
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Last modified: 2024-02-09T03:30:02+00:00