is 2 3096811 - 1
has 932234 decimal digits
takes 0.264 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
Actual26819.247267.6471%10000001199121000.92297.4807%20.170170.0673%2.4202%
PrimeNet2600.049663.3333%120002200000.00292.5299%0.052564.2610%0.9276%
GPU722641.149465.6250%140002400000.00321.5068%1.152666.1430%0.5180%
Difference+4+18.0978+2.0221%+986000+119672100+0.9197+5.9738%+19.0175+3.9243%+3.9243%

Known prime factors (2 factors, 105.5 bits, 0.00340619% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30968115438805286871238.98487813
32 × 11 × 887
-118871.191e-87.248e-61.110e-5
30968111042685634714110285112166.49916834828388205
3 × 5 × 43 × 599 × 43573471
2018-07-14599435734717.32300.29300.5472

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
30968115670964142626504619644511039505732105.483
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-03-06T09:07:43Jocelyn LaroucheManual testing30968134064926-
skipped known factor: 543880528687
--0.059--3.387%
2021-03-06T21:38:21Jocelyn LaroucheManual testing30968165033036-
skipped known factor: 543880528687
--0.080--3.909%
2022-01-23T13:34:49Jocelyn LaroucheManual testing1000000119912100-
skipped known factor: 543880528687
skipped known factor: 104268563471411028511
--0.923--7.481%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2021-06-22T11:14:40Jocelyn LaroucheManual testing267268--9.65--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.350 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.350 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.350


Lucas-Lehmer results:
No L-L results for M3096811


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-29T14:26:11alpertronlaptop2
543880528687
B8C8403CC00F81__no
2017-11-17T23:30:35Oliver KruseThreadripper
543880528687
B8C8403CC00F81__no
2018-07-15T17:19:26GunnarLuRibenboim
543880528687
104268563471411028511
B8C8403CC00F81__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 309681, B2 = 6503303 (P-1 stage 2)
B1 = 309681, B2 = 3406492 (P-1 stage 2)
B1 = 309681 (P-1 stage 1)
100
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103
104
105
106
100
101
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105
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109
TF factor-bounds graph:
268
230
240
250
260
270
280
290
2100
Last modified: 2022-01-23T13:34:49+00:00