is 2 9874103 - 1
has 2972402 decimal digits
takes 2.880 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP4E4D486D5BBDBB__
unverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2673.009364.1791%----3.009364.1791%0.0000%
PrimeNet2640.360562.5000%4500012000000.04563.6719%0.406163.8770%1.3770%
GPU722686.036564.7059%6500015000000.06062.5628%6.097065.6104%0.9045%
Difference-1-3.0272-0.5268%-65000-1500000-0.0606-2.5628%-3.0878-1.4313%-1.4313%

Known prime factors (3 factors, 144.2 bits, 0.00146053% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
987410319748207824.2351
1
-112.264e-134.229e-78.607e-7
987410320181284157591340.876102193
7 × 13 × 1123
2008-09-301311231.661e-83.107e-54.827e-5
98741036493232254931291792659512479.10332880112020966825
34 × 52 × 59 × 11261 × 24438767
2022-07-30112612443876720,2500.56761.0517

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
9874103398544177069907941132065.111
98741031282296946694599210988410839985732103.339
9874103131041765237997271209152960216052180937119.979
98741032587839905565374377273492953009363191214646344144.215
P-1 results:
No P-1 results for M9874103


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-07-30T03:25:00riccardo ubertiColab_noGPU1520000005000000027P-12479.1032.370
2022-08-01T02:10:12riccardo ubertiColab_noGPU1523000006000000065--2.781


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T23:58:00markrManual testing??40.876131.77562e-96.2163.83260e-9


ECM factoring results:

Old Calculation Method

Total ECM effort:17.168 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:17.168 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110001.00036.788%
25500000.09790.790%
302500000.00699.377%


ECM Summary

B1B2factorcurvesGHz-days
50000144000002017.17


Lucas-Lehmer results:
No L-L results for M9874103


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-10T07:49:57riccardo ubertiNomad2C
19748207
2018128415759
4E4D486D5BBDBB__no
2021-02-09T21:31:36Oliver KruseIOS-5
19748207
2018128415759
4E4D486D5BBDBB73no
2022-07-31T04:30:32riccardo ubertiNomad2C
19748207
2018128415759
649323225493129179265951
4E4D486D5BBDBB73no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-08-02T16:39:58+00:00