is 2 2689121 - 1
has 809507 decimal digits
takes 0.208 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L72B5DA56BFDA3D6Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26711.049767.1642 %2000000600000000.57797.7045 %11.627669.6940 %
Target2630.593565.0794 %1400011000000.00821.6600 %0.601765.6590 %
Difference+4+10.4562+2.0848 %+1986000+58900000+0.5697+6.0445%+11.0259+4.0350 %

Known prime factors (1 factor, 65.9 bits, 0.00244976% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2689121677551967860798613692065.87712598019350204
22 × 23 × 48527 × 2821831
2015-01-044852728218312.71300.02240.0322

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-08ANONYMOUSv4_computers2048204800--0.0010.675%
2003-11-28Team Prime Ribv4_computers15000217500--0.0031.688%
2010-12-22JossManual testing2000020000--0.0020.632%
2010-12-26JossManual testing3000030000--0.0040.835%
2011-02-01markrtiny10500022837506--0.0284.505%
2019-07-04alpertronManual testing20000006000000012
skipped known factor: 67755196786079861369
---10.636%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-31Sturle Sundetristan.ifi2602610.057
2012-05-09Grant McCrackenthumper2612620.114
2013-01-14dbaughManual testing2622630.365


ECM factoring results:
Total ECM effort:1.029 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
10.202
50000500000090.827


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02ANONYMOUSv4_computers72B5DA56BFDA3D6E0.208


PRP results:
dateuseridcompidcofactorsres64
2017-10-19Oliver KruseGTX-2
67755196786079861369
6471502499B50C46
2017-12-04kkmrkkblmbrbkc4.xlarge
67755196786079861369
6471502499B50C46


CERT results:
No CERT results for M2689121


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 = 105000 (P-1 stage 1)
B1 = 30000 (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)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
263
262
261
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00