is 2 2166629 - 1
has 652221 decimal digits
takes 0.142 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L34BF1E093D276717double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.714467.1642 %500000150000000.12305.1726 %13.837368.8626 %
Target2620.283664.5161 %100008000000.00511.5202 %0.288665.0555 %
Difference+5+13.4308+2.6481 %+490000+14200000+0.1179+3.6524%+13.5487+3.8071 %

Known prime factors (1 factor, 67.0 bits, 0.00309446% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21666291522970766450038969992167.04535146090227031
7 × 5020870032433
2015-10-037502087003243313.71426,08048,710

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-07ANONYMOUSv4_computers204820480012--0.0010.776%
2010-11-03JossManual testing2000020000--0.0020.712%
2010-12-30JossManual testing3000030000--0.0030.935%
2011-01-15JossManual testing5000050000--0.0051.272%
2011-01-21markrtiny12000023700006--0.0235.006%
2014-10-05JossManual testing149624149624--0.0142.219%
2016-03-30alpertronManual testing5000001500000012---8.257%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-04-13ANONYMOUSv4_computers212580.018
2022-03-09LordJuliusManual testing21260
2009-01-04Sturle Sundehomilius.ifi2602610.071
2009-01-06Sturle Sundegonzo.ifi2612620.142
2013-09-08ramgeisManual testing2622630.453
2015-03-25VictordeHollanderManual testing2632640.906
2015-03-25VictordeHollanderManual testing2642651.725


ECM factoring results:
Total ECM effort:9.319 GHz-days
Estimated T-Level:21.800
DigitsB1CompleteFacMiss
20110003.8402.150%
25500000.36069.771%
302500000.02397.738%
3510000000.00199.893%


ECM Summary

B1B2factorcurvesGHz-days
500005000000362.938
50000500000010.085
50000664759780.776
547257880400505.520


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15Phantomasv4_computers34BF1E093D2767170.142


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
152297076645003896999
3176516EF4B2DC12
2017-10-21Oliver KruseThreadripper-PC
152297076645003896999
3176516EF4B2DC12


CERT results:
No CERT results for M2166629


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 120000, B2 = 2370000 (P-1 stage 2)
B1 = 149624 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (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=21.8 ~= 56-bit
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Last modified: 2024-02-29T14:28:04+00:00