is 2 9873131 - 1
has 2972109 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-
PRP8A88E8D7BFA029__
unverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2673.009664.1791%----3.009664.1791%0.0000%
PrimeNet2640.360562.5000%4500012000000.04563.6718%0.406263.8769%1.3769%
GPU722686.037164.7059%6500015000000.06062.5627%6.097665.6104%0.9045%
Difference-1-3.0275-0.5268%-65000-1500000-0.0606-2.5627%-3.0881-1.4313%-1.4313%

Known prime factors (3 factors, 160.8 bits, 0.00162891% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9873131770104218011136.1643900
22 × 3 × 52 × 13
-25251.710e-91.057e-52.152e-5
987313121793361918105511650.953110367025
52 × 43 × 102667
2014-06-12431026672.987e-50.00240.0044
9873131154231029864062870666412373.708781064435709720
23 × 32 × 5 × 167 × 619 × 20988299
2022-07-1061920988299374.920.48390.9032

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
98731311678315993775155743922223512787.117
9873131118773966646341093616031440624044134109.872
98731313361212652829661398300056249258392919138124.660
9873131258848404157270400487094796117414832139282669299149160.825
P-1 results:
No P-1 results for M9873131


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-07-10T11:29:01riccardo ubertiColab_noGPU1520000005000000027P-12373.7082.370
2022-07-11T20:21:51riccardo ubertiColab_noGPU1523000006000000065--2.781


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-06-12T11:41:00TJAOIManual testing??50.953161.46821e-56.2163.16910e-5


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 M9873131


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-01T15:03:21riccardo ubertiNomad2C
77010421801
2179336191810551
8A88E8D7BFA029__no
2021-02-09T01:10:07Oliver KruseIOS-5
77010421801
2179336191810551
8A88E8D7BFA0293Bno
2022-07-10T22:55:29riccardo ubertiNomad2C
77010421801
2179336191810551
15423102986406287066641
8A88E8D7BFA0293Bno


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
230
240
250
260
270
280
290
2100
Last modified: 2022-07-11T20:21:51+00:00