is 2 2215673 - 1
has 666985 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-L768C9164CB2F8589double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.410867.1642 %500000150000000.12305.1865 %13.533868.8672 %
Target2620.277364.5161 %110009000000.00571.6293 %0.282965.0943 %
Difference+5+13.1335+2.6481 %+489000+14100000+0.1173+3.5572%+13.2508+3.7729 %

Known prime factors (1 factor, 67.5 bits, 0.00304449% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22156732024315847437636269212167.45645681737500020
22 × 3 × 5 × 307169 × 2478643
2015-11-14307169247864313.4110.04060.0596

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-16ANONYMOUSv4_computers204820480012--0.0010.781%
2010-10-11Oscar Östlin7501175011--0.0071.594%
2010-12-18Oscar Östlin8500015937506--0.0164.396%
2014-05-26JossManual testing113968113968--0.0111.963%
2014-09-29JossManual testing142936142936--0.0142.181%
2015-04-28Squeeky_SquirrelP4_260016000046000006--0.0385.948%
2015-11-14Alexander DubrovinManual testing10000005000000622167.4560.1167.038%
2016-04-24alpertronManual testing5000001500000012
skipped known factor: 202431584743763626921
---8.277%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-08Sturle Sundegorky.ifi2602610.069
2012-04-18Sebastian HornbostelManual testing2612620.139
2013-02-21dbaughManual testing2622630.443
2015-03-06VictordeHollanderManual testing2632640.886
2015-03-06VictordeHollanderManual testing2642651.686
2015-10-22ramgeisManual testing2652663.373


ECM factoring results:
Total ECM effort:8.205 GHz-days
Estimated T-Level:21.650
DigitsB1CompleteFacMiss
20110003.5512.869%
25500000.33071.889%
302500000.02197.926%


ECM Summary

B1B2factorcurvesGHz-days
500005000000231.831
50000665000070.700
50000668149570.683
500007000000504.991


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07MikeBv4_computers768C9164CB2F85890.146


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
202431584743763626921
3638509C5C3F5FBF
2017-10-26Oliver KruseGTX-3
202431584743763626921
3638509C5C3F5FBF


CERT results:
No CERT results for M2215673


P-1 factor-bounds graph:
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 = 160000, B2 = 4600000 (P-1 stage 2)
B1 = 85000, B2 = 1593750 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 142936 (P-1 stage 1)
B1 = 113968 (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
102
103
104
105
106
107
108
TF factor-bounds graph:
266
265
264
263
262
261
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.65 ~= 55-bit
250
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270
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Last modified: 2024-02-29T14:28:04+00:00