is 2 2421109 - 1
has 728827 decimal digits
takes 0.164 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LC607493CB37269D5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26824.618867.6471 %2569240695240000.60907.3221 %25.227870.0160 %
Target2630.659265.0794 %100007000000.00471.2772 %0.663965.5254 %
Difference+5+23.9596+2.5677 %+2559240+68824000+0.6043+6.0450%+24.5640+4.4906 %

Known prime factors (1 factor, 85.6 bits, 0.00353519% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2421109582595457351741370164157132685.59112031582579548078384
24 × 33 × 163 × 170864328839299
2020-08-301631708643288392993,236,424911,8841,703,145

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-08ANONYMOUSv4_computers2048204800--0.0010.656%
2010-11-09JossManual testing1500015000--0.0020.498%
2010-11-16JossManual testing2000020000--0.0020.617%
2010-12-18markrtiny9500019237506--0.0204.216%
2014-04-09mikrMSI25692406952400012--0.60910.910%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-15ANONYMOUSv4_computers212590.016
2016-02-23Mark RoseManual testing2592600.032
2009-01-14Sturle Sundegolan.ifi2602610.063
2012-06-04Sebastian HornbostelManual testing2612620.127
2013-01-23dbaughManual testing2622630.405
2015-02-27VictordeHollanderManual testing2632640.811
2015-02-27VictordeHollanderManual testing2642651.543
2015-10-23ramgeisManual testing2652663.086
2017-07-05Gordon SpenceManual testing2662676.173
2019-04-29TJAOIManual testing26726812.35


ECM factoring results:
Total ECM effort:7.005 GHz-days
Estimated T-Level:21.423
DigitsB1CompleteFacMiss
20110003.0774.610%
25500000.28575.224%
302500000.01898.220%


ECM Summary

B1B2factorcurvesGHz-days
500005000000756.559
50000500000050.446


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15ANONYMOUSv4_computersC607493CB37269D50.164
2018-05-20kkmrkkblmbrbkoldC607493CB37269D50.164


PRP results:
dateuseridcompidcofactorsres64
2020-09-02ViliamFAWS
58259545735174137016415713
6D553F5496BFC888


CERT results:
dateuseridcompid
2020-09-02Ben Deloi-0d3cf13b6640cfc25


P-1 factor-bounds graph:
B1 = 2569240, B2 = 69524000 (P-1 stage 2)
B1 = 2569240 (P-1 stage 1)
B1 = 95000, B2 = 1923750 (P-1 stage 2)
B1 = 95000 (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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267
266
265
264
263
262
261
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259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=21.42 ~= 55-bit
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Last modified: 2024-02-29T14:28:04+00:00