is 2 2768191 - 1
has 833309 decimal digits
takes 0.214 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L93F83E8C1F2D5890double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.734167.1642 %3600002873801701.79167.9815 %12.525769.7850 %
Target2630.576665.0794 %1500012000000.00891.7460 %0.585565.6891 %
Difference+4+10.1575+2.0848 %+345000+286180170+1.7827+6.2354%+11.9402+4.0959 %

Known prime factors (1 factor, 64.1 bits, 0.00231536% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2768191196831689524735966232064.0943555240399321
3 × 13 × 223247 × 408337
2013-03-062232474083372.58910.02610.0509

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.680%
2010-12-01markrtiny11000023650006--0.0294.587%
2023-01-29USAFSSUSAFSACS360000287380170
skipped known factor: 19683168952473596623
--1.97411.261%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-30Sturle Sundegolan.ifi2602610.055
2012-03-11markroldgamer2612620.111
2013-01-10dbaughManual testing2622630.355


ECM factoring results:
Total ECM effort:0.829 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
10.344
50000500000060.485


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23ANONYMOUSv4_computers93F83E8C1F2D58900.214


PRP results:
dateuseridcompidcofactorsres64
2017-10-20Oliver KruseGTX-2
19683168952473596623
501FFA6CD907019E
2017-12-06kkmrkkblmbrbkc4.xlarge
19683168952473596623
501FFA6CD907019E


CERT results:
No CERT results for M2768191


P-1 factor-bounds graph:
B1 = 360000, B2 = 287380170 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 110000, B2 = 2365000 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
263
262
261
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00