is 2 48216317 - 1
has 14514558 decimal digits
takes 83.709 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
Actual2692.476162.3188 %----2.476162.3188 %
Target27219.834263.8889 %340000550000008.35274.1676 %28.186965.3938 %
Difference-3-17.3582-1.5700 %-340000-55000000-8.3527-4.1676 %-25.7108-3.0750 %

Known prime factors (1 factor, 71.1 bits, 0.00014747% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4821631725363335349644893692012271.10326301610043800
23 × 52 × 7 × 13 × 6263 × 230743
2010-07-16626323074319.5340.04660.0591

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2010-07-16Helmut Zulusbs012271.1031.3470.000%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-06-06Thomas Mullenv4_computers212590.001
2003-11-28apocalypsev4_computers212600.002
2008-03-031997rj7v4_computers212630.020
2008-04-07Wojciech Florekv4_computers212640.041
2008-05-10RMAC9.5v4_computers212691.240


ECM factoring results:
No ECM results for M48216317


Lucas-Lehmer results:
No L-L results for M48216317


PRP results:
No PRP results for M48216317


CERT results:
No CERT results for M48216317


P-1 factor-bounds graph:
102
103
104
102
103
104
105
106
TF factor-bounds graph:
269
264
263
260
259
this exponent TF target: 72
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00