is 2 2235539 - 1
has 672965 decimal digits
takes 0.147 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L046B2C9C19F633ABdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.291667.1642 %2000000650000000.51797.6583 %13.809569.6789 %
Target2620.274864.5161 %110009500000.00591.6578 %0.280765.1044 %
Difference+5+13.0168+2.6481 %+1989000+64050000+0.5120+6.0005%+13.5288+4.5745 %

Known prime factors (1 factor, 91.2 bits, 0.00407950% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
223553928415726337383366752257425692891.199635545305570230864956
22 × 7 × 103 × 3023 × 1570967 × 46402999
2016-01-08157096746402999224,324,9070.38260.4502

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-27ANONYMOUSv4_computers204820480012--0.0010.783%
2010-10-31Oscar Östlin7501175011--0.0071.596%
2011-01-13Oscar Östlin8500016150006--0.0164.415%
2014-06-01JossManual testing113711113711--0.0111.963%
2014-09-30JossManual testing142422142422--0.0142.181%
2015-11-30Alexander DubrovinManual testing100000050000006--0.1167.045%
2016-01-08Alexander DubrovinManual testing2000000650000001222891.1990.51811.421%
2016-04-18alpertronManual testing5000001500000012---8.286%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.069
2009-01-11Sturle Sundegoldiek.ifi2602610.069
2012-04-21Sebastian HornbostelManual testing2612620.137
2013-01-23dbaughManual testing2622630.439
2015-03-10VictordeHollanderManual testing2632640.878
2015-03-10VictordeHollanderManual testing2642651.671
2015-10-25ramgeisManual testing2652663.343


ECM factoring results:
Total ECM effort:8.730 GHz-days
Estimated T-Level:21.564
DigitsB1CompleteFacMiss
20110003.3443.531%
25500000.31373.134%
302500000.02098.029%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.147
500007000000585.798
500002702353571.785


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14ANONYMOUSv4_computers046B2C9C19F633AB0.147


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
2841572633738336675225742569
B5DB822A0ECEAEB7
2017-10-28Oliver KruseGTX-3
2841572633738336675225742569
B5DB822A0ECEAEB7


CERT results:
No CERT results for M2235539


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000, B2 = 5000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 85000, B2 = 1615000 (P-1 stage 2)
B1 = 142422 (P-1 stage 1)
B1 = 113711 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
266
265
264
263
262
261
260
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.56 ~= 55-bit
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2100
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Last modified: 2024-02-29T14:28:04+00:00