is 2 54123313 - 1
has 16292741 decimal digits
takes 106.931 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L537A8E61E38F86B9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27470.687964.8649 %635000165100004.29694.0772 %74.984866.2974 %
Target27335.342364.3836 %3600006000000010.33993.9220 %45.682365.7805 %
Difference+1+35.3456+0.4813 %+275000-43490000-6.0430+0.1551%+29.3026+0.5169 %

Known prime factors:
No known factors for M54123313

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-10-19Sid & AndyMrs_Potato_Head63500016510000--4.2974.487%


Trial Factoring results:
575859606162636465666768697071727374
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-08ANONYMOUSv4_computers212532.22000e-5
2000-03-01ANONYMOUSv4_computers212544.43000e-5
2000-05-24ANONYMOUSv4_computers212560.000
2001-08-18ANONYMOUSv4_computers212570.000
2002-08-24ANONYMOUSv4_computers212580.001
2003-08-08oerwinv4_computers212620.006
2008-05-10ANONYMOUSv4_computers212630.018
2008-12-081997rj7Manual testing212640.036
2009-02-23jfarekCarnegie122642650.069
2009-02-24jfarekCarnegie122652660.138
2009-02-26jfarekCarnegie122662670.276
2009-07-30manskyJacek2672680.552
2011-10-15rduerrManual testing2682691.105
2011-12-20BdotManual testing2692702.209
2011-12-27David CampeauManual testing27027213.25
2016-01-30AirSquirrelsManual testing27227317.67
2019-08-12Jon PaceManual testing27327435.35


ECM factoring results:
No ECM results for M54123313


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2012-12-10Amazon EC2537A8E61E38F86B9106.9
2020-05-08jackburkejackburke1998537A8E61E38F86B9106.9


PRP results:
No PRP results for M54123313


CERT results:
No CERT results for M54123313


P-1 factor-bounds graph:
B1 = 635000, B2 = 16510000 (P-1 stage 2)
B1 = 635000 (P-1 stage 1)
104
105
106
104
105
106
107
108
TF factor-bounds graph:
274
273
272
270
269
268
267
266
265
264
263
262
258
257
256
254
253
this exponent TF target: 73
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00