is 2 2147737 - 1
has 646534 decimal digits
takes 0.141 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L2DA08BA0A827161Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26827.752467.6471 %39814461234248401.00008.1859 %28.752470.2954 %
Target2620.286164.5161 %100007500000.00481.4886 %0.290865.0444 %
Difference+6+27.4664+3.1309 %+3971446+122674840+0.9952+6.6973%+28.4616+5.2511 %

Known prime factors (1 factor, 80.2 bits, 0.00373390% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
214773713832143508076524893165372580.194322016697297586364
22 × 19 × 4237061806547189
2020-08-04194237061806547189114,01122,008,35841,105,484

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-07ANONYMOUSv4_computers204820480012--0.0010.775%
2010-11-03JossManual testing2000020000--0.0020.711%
2010-12-30JossManual testing3000030000--0.0030.933%
2011-01-13JossManual testing5000050000--0.0051.270%
2011-01-22James Heinrichi7-92013000026325006--0.0255.164%
2014-11-03JossManual testing159885159885--0.0152.282%
2016-06-07JossManual testing17587352650006--0.0436.149%
2017-04-22JossManual testing35174635174606---6.089%
2017-04-26nordiManual testing398144612342484012--1.00012.845%
2017-04-27JossManual testing42209542209506---6.420%
2017-05-08JossManual testing50651450651406---6.758%
2017-05-13JossManual testing60781660781606---7.102%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-29ANONYMOUSv4_computers212580.018
2016-02-23Mark RoseManual testing2582600.054
2009-01-05Sturle Sundeginjtje.ifi2602610.072
2009-01-08Sturle Sundebuxtehude.ifi2612620.143
2013-09-07ramgeisManual testing2622630.457
2015-03-18VictordeHollanderManual testing2632640.914
2015-03-18VictordeHollanderManual testing2642651.740
2016-02-15YxinityManual testing2652663.479
2016-10-29Gordon SpenceManual testing2662676.959
2019-04-15TJAOIManual testing26726813.92


ECM factoring results:
Total ECM effort:8.994 GHz-days
Estimated T-Level:21.904
DigitsB1CompleteFacMiss
20110004.1151.632%
25500000.38168.333%
302500000.02497.627%
3510000000.00199.888%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001058.824
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14ANONYMOUSv4_computers2DA08BA0A827161C0.141
2018-04-08kkmrkkblmbrbkold2DA08BA0A827161C0.141


PRP results:
dateuseridcompidcofactorsres64
2020-08-05M Millercruncher
1383214350807652489316537
31976844B788D03D
2020-08-05marssystemsSystem01
1383214350807652489316537
31976844B788D03D


CERT results:
No CERT results for M2147737


P-1 factor-bounds graph:
B1 = 3981446, B2 = 123424840 (P-1 stage 2)
B1 = 3981446 (P-1 stage 1)
B1 = 607816, B2 = 6078160 (P-1 stage 2)
B1 = 506514, B2 = 5065140 (P-1 stage 2)
B1 = 422095, B2 = 4220950 (P-1 stage 2)
B1 = 607816 (P-1 stage 1)
B1 = 351746, B2 = 3517460 (P-1 stage 2)
B1 = 506514 (P-1 stage 1)
B1 = 175873, B2 = 5265000 (P-1 stage 2)
B1 = 422095 (P-1 stage 1)
B1 = 351746 (P-1 stage 1)
B1 = 130000, B2 = 2632500 (P-1 stage 2)
B1 = 175873 (P-1 stage 1)
B1 = 159885 (P-1 stage 1)
B1 = 130000 (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=21.9 ~= 56-bit
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Last modified: 2024-02-29T14:28:04+00:00