is 2 134310431 - 1
has 40431469 decimal digits
takes 748.034 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
Actual2680.443858.8235%----0.443858.8235%0.0000%
PrimeNet27314.242061.6438%5500002800000016.51935.4022%30.761263.7159%2.0721%
GPU72277227.891263.6364%8000003000000019.30823.9402%247.199365.0692%1.4328%
Difference-9-227.4474-4.8128%-800000-30000000-19.3082-3.9402%-246.7556-6.2456%-6.2456%

Known prime factors (3 factors, 168.7 bits, 0.00012564% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1343104312492801599371237.859928
25 × 29
2007-10-1732321.637e-100.00030.0005
134310431124934785025104360072063.43846509710413
46509710413
2017-02-171465097104130.024820,46438,220
1343104312008135298081768668792167.444747572352769
11 × 1297 × 3089 × 16963
2022-08-053089169630.34790.03110.0508

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
134310431311437631927527274383656365155931101.297
1343104315005882882809584630598067802662332105.303
134310431250885951767169632647336361113748731215340130.882
13431043162540890182466513812137544815470871166980808381436
1
51168.741
P-1 results:
No P-1 results for M134310431


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2017-02-17T17:15:47TJAOIManual testing263264*63.438200.0131,5380.027
2022-08-05T09:30:49TJAOIManual testing267268*67.444210.1271,5370.260
2022-08-10T19:29:33LordJuliusManual testing2126863.438200.0251,5380.051
2022-08-10T19:29:33LordJuliusManual testing2126867.444210.3481,5370.715
2022-08-10T19:29:33LordJuliusManual testing2126837.859121.63704e-101,5383.36528e-10


ECM factoring results:
No ECM results for M134310431


Lucas-Lehmer results:
No L-L results for M134310431


PRP results:
No PRP results for M134310431


P-1 factor-bounds graph:
100
101
102
103
104
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
264
230
240
250
260
270
280
290
2100
Last modified: 2022-08-10T19:29:33+00:00