is 2 8168939 - 1
has 2459096 decimal digits
takes 2.133 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBC1B68FF7545BB29double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26914.614766.6667 %21500054287500.18893.6590 %14.803767.8863 %
Target2673.637465.6716 %5500065000000.15382.6249 %3.791266.5727 %
Difference+2+10.9773+0.9950 %+160000-1071250+0.0352+1.0341%+11.0125+1.3136 %

Known prime factors (1 factor, 69.0 bits, 0.00084411% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
81689395722045239676883977672168.95535023185016297
6217 × 5633454241
2019-03-16621756334542417.2965116.21217.04

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-08-17ANONYMOUSv4_computers40000310000--0.0211.667%
2012-09-29James Heinrichi7-92021500054287506--0.1894.512%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-09-27ANONYMOUSv4_computers212610.019
1998-12-21ANONYMOUSv4_computers212620.038
1999-01-10ANONYMOUSv4_computers212630.120
2013-08-27David CampeauManual testing2632640.240
2013-09-02David CampeauManual testing2642650.457
2015-05-28snme2pm1Manual testing2652660.915
2015-12-04snme2pm1Manual testing2662671.830
2018-07-09chuenkitManual testing2672683.659
2023-11-22FlaukrotistManual testing26826968.95521


ECM factoring results:
Total ECM effort:1.588 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191
50000500000010.397


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-04ANONYMOUSv4_computersBC1B68FF7545BB292.133
2002-10-12ANONYMOUSv4_computersBC1B68FF7545BB292.133


PRP results:
dateuseridcompidcofactorsres64
2019-03-16ATHec2-PRPCF
572204523967688397767
BAC23A4854A962D3
2020-02-26Luigi Morelli9800X
572204523967688397767
BAC23A4854A962D3


CERT results:
No CERT results for M8168939


P-1 factor-bounds graph:
B1 = 215000, B2 = 5428750 (P-1 stage 2)
B1 = 215000 (P-1 stage 1)
B1 = 40000, B2 = 310000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00