is 2 2237119 - 1
has 673440 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-L75DB313C3FD9BB32double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.282267.1642 %2000000650000000.51797.6589 %13.800169.6790 %
Target2620.274664.5161 %110009500000.00591.6581 %0.280565.1045 %
Difference+5+13.0076+2.6481 %+1989000+64050000+0.5120+6.0008%+13.5196+4.5746 %

Known prime factors (1 factor, 72.6 bits, 0.00324407% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
223711970282948262452700978872272.5741570836157183697
173 × 1033 × 1061 × 8284553
2016-01-0910618284553427.480.04310.0804

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-27ANONYMOUSv4_computers204820480012--0.0010.783%
2010-11-09Oscar Östlin7501175011--0.0071.596%
2011-01-14Oscar Östlin8500016150006--0.0164.415%
2014-06-01JossManual testing113691113691--0.0111.964%
2014-09-30JossManual testing142382142382--0.0142.181%
2015-12-01Alexander DubrovinManual testing100000060000006--0.1217.324%
2016-01-09Alexander DubrovinManual testing2000000650000001222272.5740.51811.422%
2016-04-20alpertronManual testing5000001500000012
skipped known factor: 7028294826245270097887
---8.286%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017
2016-02-23Mark RoseManual testing2582600.051
2009-01-11Sturle Sundeghibu.ifi2602610.069
2012-04-21Sebastian HornbostelManual testing2612620.137
2013-12-07Jerry HallettManual testing2622630.439
2015-03-10VictordeHollanderManual testing2632640.878
2015-03-10VictordeHollanderManual testing2642651.670
2015-10-25ramgeisManual testing2652663.340


ECM factoring results:
Total ECM effort:9.713 GHz-days
Estimated T-Level:21.684
DigitsB1CompleteFacMiss
20110003.5412.898%
25500000.33771.398%
302500000.02297.849%
3510000000.00199.897%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.147
50000683743570.692
50000693172170.696
5000012610290507.177


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14ANONYMOUSv4_computers75DB313C3FD9BB320.147


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
7028294826245270097887
6FAAC3E3A91348D1
2017-10-28Oliver KruseGTX-2
7028294826245270097887
6FAAC3E3A91348D1


CERT results:
No CERT results for M2237119


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 = 6000000 (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 = 142382 (P-1 stage 1)
B1 = 113691 (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
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.68 ~= 55-bit
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260
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Last modified: 2024-02-29T14:28:04+00:00