is 2 354737 - 1
has 106787 decimal digits
takes 0.003 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD0B1FEF862FE59E6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26783.763271.6418 %100000002000000000.28618.5229 %84.049374.0587 %
Target2440.000056.8182 %65009000000.000812.3041 %0.000862.1313 %
Difference+23+83.7632+14.8236 %+9993500+199100000+0.2853-3.7812 %+84.0485+11.9274 %

Known prime factors (1 factor, 85.0 bits, 0.02395501% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
354737380816683719903315536181832684.97753675918175987184243
53675918175987184243
2013-07-1915367591817598718424315,306,8144.111e+107.678e+10

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers500001000000--0.00118.812%
2001-12-22ANONYMOUSv4_computers2000200000--0.00010.477%
2002-06-09ANONYMOUSv4_computers32768327680012--0.00321.424%
2002-08-17ANONYMOUSv4_computers65536655360012--0.00624.057%
2003-04-03ANONYMOUSv4_computers1310721310720030--0.01226.641%
2006-01-15Jossv4_computers354737354737--0.00515.824%
2011-08-09JossManual testing12735651273565--0.01819.717%
2012-03-02alpertronManual testing1000000020000000012--0.28636.498%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-17ANONYMOUSv4_computers2522530.002
2000-04-19ANONYMOUSv4_computers212540.007
2022-03-07LordJuliusManual testing254255
2001-03-11ANONYMOUSv4_computers212560.027
2002-02-17ANONYMOUSv4_computers212570.054
2004-01-18ANONYMOUSv4_computers212580.108
2008-12-29Sturle Sundekinner.ifi2582590.108
2009-01-26Sturle Sundeiago.ifi2592600.216
2013-05-21lycornasteroid2602610.433


ECM factoring results:
Total ECM effort:10.100 GHz-days
Estimated T-Level:26.435
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.010
5000050000002812.588
250000250000001447.502


Lucas-Lehmer results:
No L-L results for M354737


PRP results:
dateuseridcompidcofactorsres64
2017-09-23Oliver KruseOllaptop
38081668371990331553618183
2E14368D77A7C2F1
2017-09-23Oliver KruseManual testing
38081668371990331553618183
2E14368D77A7C2F1
2017-10-13Oliver KruseGTX-2
38081668371990331553618183
2E14368D77A7C2F1
2017-12-15ATHxps
38081668371990331553618183
2E14368D77A7C2F1
2020-04-18Oliver KruseAddPrpType5
38081668371990331553618183
97F2147E0BC39BE2


CERT results:
No CERT results for M354737


P-1 factor-bounds graph:
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1273565 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 354737 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.44 ~= 71-bit
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Last modified: 2024-03-13T02:15:48+00:00