is 2 53855819 - 1
has 16212217 decimal digits
takes 106.403 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2692.216862.3188 %----2.216862.3188 %
Target27335.517964.3836 %3600006000000010.33993.9196 %45.857865.7796 %
Difference-4-33.3011-2.0647 %-360000-60000000-10.3399-3.9196 %-43.6410-3.4607 %

Known prime factors (1 factor, 69.8 bits, 0.00012955% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5385581910066822698445150393512269.7709346086351825
3 × 52 × 19 × 389 × 16860301
2011-03-13389168603014.02602.63264.9150

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-03-13kdgehmanManual testing2269.7702.4590.000%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-08ANONYMOUSv4_computers212532.23000e-5
2000-03-01ANONYMOUSv4_computers212544.46000e-5
2000-05-31ANONYMOUSv4_computers212560.000
2001-08-24ANONYMOUSv4_computers212570.000
2002-08-03ANONYMOUSv4_computers212580.001
2004-06-041997rj7v4_computers212600.001
2007-10-171997rj7v4_computers212630.018
2008-08-11ANONYMOUSManual testing212640.035
2009-02-21jfarekCarnegie112642650.069
2009-02-22ANONYMOUS2652660.139
2009-02-23David Barleyken22662670.278
2009-05-02PrimeCruncherApollo42672680.555
2011-03-13kdgehmanManual testing2682691.110


ECM factoring results:
No ECM results for M53855819


Lucas-Lehmer results:
No L-L results for M53855819


PRP results:
No PRP results for M53855819


CERT results:
No CERT results for M53855819


P-1 factor-bounds graph:
101
102
103
101
102
103
104
105
106
107
108
TF factor-bounds graph:
269
268
267
266
265
264
263
260
258
257
256
254
253
this exponent TF target: 73
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00