is 2 73491811 - 1
has 22123240 decimal digits
takes 203.183 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
Actual275104.119264.0000 %630000127575005.17433.6458 %109.293565.3125 %
Target27452.058463.5135 %5000008500000020.46024.1279 %72.518665.0197 %
Difference+1+52.0608+0.4865 %+130000-72242500-15.2858-0.4821 %+36.7750+0.2928 %

Known prime factors (1 factor, 91.3 bits, 0.00012418% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7349181129619065479793278439259722892891.25920151269288896199904
25 × 33 × 24029 × 385571 × 2517379
2015-09-27385571251737912,264,9612.01133.1457

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2015-09-27TheJudgerManual testing630000127575001222891.2595.2774.018%


Trial Factoring results:
57585960616263646566676869707172737475
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-06-28George WoltmanManual testing212640.026
2010-06-07ANONYMOUS12642650.051
2010-06-08GrunwalderGIMPcompute-0-42652660.102
2010-11-14ANONYMOUS2662670.203
2010-11-18ANONYMOUS2672680.407
2010-11-24ANONYMOUS2682690.813
2012-10-15LurkerBob2692701.627
2013-08-04EratosthenesManual testing2702713.254
2015-04-14srow7Manual testing2712726.508
2015-09-18AirSquirrelsManual testing27227591.11


ECM factoring results:
No ECM results for M73491811


Lucas-Lehmer results:
No L-L results for M73491811


PRP results:
No PRP results for M73491811


CERT results:
No CERT results for M73491811


P-1 factor-bounds graph:
B1 = 630000, B2 = 12757500 (P-1 stage 2)
B1 = 630000 (P-1 stage 1)
104
105
106
104
105
106
107
108
TF factor-bounds graph:
275
272
271
270
269
268
267
266
265
264
this exponent TF target: 74
TF double-checked to: 67
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00