is 2 2688467 - 1
has 809310 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-LF9F42073D2B6E9EBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26711.052467.1642 %2000000600000000.57797.7043 %11.630269.6939 %
Target2630.593765.0794 %1300011000000.00811.6233 %0.601765.6462 %
Difference+4+10.4587+2.0848 %+1987000+58900000+0.5698+6.0810%+11.0285+4.0477 %

Known prime factors (1 factor, 70.8 bits, 0.00263293% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
268846720350760764812486895612270.786378482621598340
22 × 5 × 73 × 19 × 719 × 4038679
2011-02-017194038679142.790.02470.0460

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%
2011-02-01markrtiny2270.7860.0280.000%
2019-07-04alpertronManual testing20000006000000012
skipped known factor: 2035076076481248689561
---10.636%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-31Sturle Sundetristan.ifi2602610.057


ECM factoring results:
Total ECM effort:0.485 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.485


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23ANONYMOUSv4_computersF9F42073D2B6E9EB0.208


PRP results:
dateuseridcompidcofactorsres64
2017-10-19Oliver KruseGTX-3
2035076076481248689561
41DC75BF65D44E5E
2017-12-04kkmrkkblmbrbkc4.xlarge
2035076076481248689561
41DC75BF65D44E5E


CERT results:
No CERT results for M2688467


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (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)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
TF factor-bounds graph:
261
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
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280
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Last modified: 2024-03-13T02:15:48+00:00