is 2 293731573 - 1
has 88422015 decimal digits
takes 3,610.451 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2670.101256.7164%----0.101256.7164%0.0000%
PrimeNet27652.102061.8421%11000007000000086.51005.6777%138.612064.0086%2.1665%
GPU72280833.640663.7500%18000007000000098.30634.2181%931.946965.2791%1.5291%
Difference-13-833.5394-7.0336%-1800000-70000000-98.3063-4.2181%-931.8457-8.5627%-8.5627%

Known prime factors (3 factors, 168.0 bits, 0.00005718% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
293731573681457249371135.988116
22 × 29
2008-02-064291.597e-119.557e-50.0001
293731573266330791742294268792064.53045335744643
3 × 7 × 241 × 911 × 9833
2017-11-0191198330.02150.02490.0330
2937315732007992793927322261272167.444341807449131
35 × 4679 × 300623
2022-08-0546793006230.13660.37080.5452

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
293731573181493048763238162302748838162331100.518
2937315731368361246104494267854622682899932103.432
293731573534790310619485277059818594902103986763340131.974
29373157336443673406448233763039634063316608724542930726412
1
51167.962
P-1 results:
No P-1 results for M293731573


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2017-11-01T14:36:09TJAOIManual testing264265*64.530200.0097,4070.019
2022-08-05T09:29:58TJAOIManual testing267268*67.444210.0357,4070.073


ECM factoring results:
No ECM results for M293731573


Lucas-Lehmer results:
No L-L results for M293731573


PRP results:
No PRP results for M293731573


P-1 factor-bounds graph:
100
101
102
103
104
100
101
102
103
104
105
106
TF factor-bounds graph:
268
267
265
230
240
250
260
270
280
290
2100
Last modified: 2022-08-05T09:29:58+00:00