is 2 10045837 - 1
has 3024099 decimal digits
takes 2.930 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
Actual26911.884265.2174%----11.884265.2174%0.0000%
PrimeNet2640.354362.5000%4500013000000.04793.7470%0.402363.9051%1.4051%
GPU722685.933364.7059%6500015000000.06062.5697%5.993865.6128%0.9069%
Difference+1+5.9509+0.5115%-65000-1500000-0.0606-2.5697%+5.8904-0.3954%-0.3954%

Known prime factors (2 factors, 105.7 bits, 0.00105205% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1004583750519923577784411652.166251447060
22 × 5 × 137 × 163 × 563
-1635630.00017.815e-50.0001
10045837129277167794428071753.521643436519
11 × 17 × 151 × 22787
2014-09-28151227870.00020.00060.0010

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
100458376531072637326918046013233712388732105.687
P-1 results:
No P-1 results for M10045837


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-09-28T11:09:00TJAOIManual testing253254*53.521170.0006.3100.000
TF assumed completed to 67 but no detailed record exists
2021-11-24T10:54:04ViliamFManual testing267268--2.975--
2021-12-28T17:29:07ViliamFManual testing268269--5.951--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.584 GHz-days
Estimated T-Level:0.500
DigitsB1CurvesCompleteFacMiss
201100010 / 1000.10090.438%
255000010 / 2800.03696.485%

New Calculation Method

Total ECM effort:8.584 GHz-days
Estimated T-Level:0.500
DigitsB1CompleteFacMiss
20110000.50060.653%
25500000.04895.284%
302500000.00399.688%


ECM Summary

B1B2factorcurvesGHz-days
5000014400000108.584


Lucas-Lehmer results:
No L-L results for M10045837


PRP results:
dateuseridcompidcofactorsres64PRP
2019-12-22T14:32:05Yuji Hasegawavj22m
5051992357778441
12927716779442807
B5CFE3BC53159A__no
2021-01-22T14:31:08Oliver KruseIOS-5
5051992357778441
12927716779442807
B5CFE3BC53159A14no


P-1 factor-bounds graph:
101
102
103
101
102
103
104
105
TF factor-bounds graph:
269
268
254
250
260
270
280
290
2100
Last modified: 2021-12-28T17:29:07+00:00