is 2 2672833 - 1
has 804603 decimal digits
takes 0.206 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L1828525C1DBC3B26double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26711.117067.1642 %2000000600000000.57797.6997 %11.694969.6924 %
Target2630.597165.0794 %1300011000000.00811.6215 %0.605265.6456 %
Difference+4+10.5199+2.0848 %+1987000+58900000+0.5698+6.0782%+11.0897+4.0468 %

Known prime factors (1 factor, 78.8 bits, 0.00294735% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26728335181310482922099860609912478.77896925443582186015
3 × 5 × 6461696238812401
2014-12-155646169623881240122,90339,427,02773,638,706

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-08ANONYMOUSv4_computers2048204800--0.0010.673%
2003-11-28Team Prime Ribv4_computers15000217500--0.0031.686%
2010-11-19JossManual testing2000020000--0.0020.631%
2010-12-08markrtiny10500022837506--0.0284.501%
2014-11-12JossManual testing129014129014--0.0161.886%
2019-07-04alpertronManual testing20000006000000012---10.630%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-27Sturle Sundegorro.ifi2602610.057
2012-05-18Grant McCrackenthumper2612620.115
2013-01-14dbaughManual testing2622630.367


ECM factoring results:
Total ECM effort:1.098 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
10.302
50000500000090.795


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02ANONYMOUSv4_computers1828525C1DBC3B260.206


PRP results:
dateuseridcompidcofactorsres64
2017-10-18Oliver KruseGTX-3
518131048292209986060991
4D301283EAC1F5E9
2017-12-03kkmrkkblmbrbkc4.xlarge
518131048292209986060991
4D301283EAC1F5E9


CERT results:
No CERT results for M2672833


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 129014 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (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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261
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
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Last modified: 2024-02-09T03:30:02+00:00