is 2 8025341 - 1
has 2415869 decimal digits
takes 2.096 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBA9A7C492F55ABBAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2687.427166.1765 %10000019500000.07602.8694 %7.503167.1470 %
Target2673.702565.6716 %5500060000000.14352.5681 %3.846066.5532 %
Difference+1+3.7246+0.5048 %+45000-4050000-0.0674+0.3013%+3.6571+0.5938 %

Known prime factors (1 factor, 80.0 bits, 0.00099638% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
802534111783000230877793868340332579.96373411212251777176
23 × 7 × 1310914504496021
2018-12-138131091450449602115,25627,041,25350,505,530

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-07-20Team Prime Ribv4_computers45000731250--0.0312.174%
2012-09-27NesowaEPC10000019500006--0.0763.220%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-08-16ANONYMOUSv4_computers212620.038
1998-08-24ANONYMOUSv4_computers212630.122
2013-08-24David CampeauManual testing2632640.245
2013-09-01David CampeauManual testing2642650.466
2015-04-22snme2pm1Manual testing2652660.931
2015-11-17snme2pm1Manual testing2662671.862
2017-09-08Sid & AndyManual testing2672683.725


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)
1999-10-15Michael Hanschov4_computersBA9A7C492F55ABBA2.096
2002-07-27Team Prime Ribv4_computersBA9A7C492F55ABBA2.096


PRP results:
dateuseridcompidcofactorsres64
2018-12-16Oliver KruseGTX-4
1178300023087779386834033
004BD1C6ED328379
2020-01-02oodairacom1
1178300023087779386834033
004BD1C6ED328379


CERT results:
No CERT results for M8025341


P-1 factor-bounds graph:
B1 = 100000, B2 = 1950000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 45000, B2 = 731250 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00