is 2 238919 - 1
has 71922 decimal digits
takes 0.001 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
Actualunknown30000000101202470268904,486.311472.8965%4,486.311472.8965%72.8965%
PrimeNet2400.000055.0000%2600650000.000013.9241%0.000061.2658%6.2658%
GPU722440.000059.0909%45001100000.000110.0894%0.000163.2184%4.1275%
Difference-440.0000-59.0909%+29995500+10120246916890+4,486.3113+62.8071%+4,486.3113+9.6781%+9.6781%

Known prime factors (3 factors, 190.8 bits, 0.07984292% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
238919477839618.8661
1
-111.462e-138.136e-91.656e-8
23891989735090883901612910108712582.89218779396130885700365
3 × 5 × 11 × 113814522005367881
2015-01-02111138145220053678814,831,64450,451,44894,229,256
2389196197423646907612509715214872789.0021296971703152033222497
1296971703152033222497
2021-11-0611296971703152033222497563,022,8355.749e+111.074e+12

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
238919428789260928726628113534358776931101.758
23891929613707180146866540298085582659333107.868
23891955612637420129558763330743374801509491614711270851
77
52171.894
23891926573887052197288229911199083471778493963682018952
53892503
58190.760
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-07-16T23:11:13Oliver KruseOllaptop30000000300000000024-
skipped known factor: 477839
--1.561--43.927%
2022-04-04T16:38:32Oliver KruseThreadripper-PC3000000010120247026890-
skipped known factor: 477839
--4,486--63.029%


Trial Factoring results:
No TF results for M238919


ECM factoring results:

Old Calculation Method

Total ECM effort:10.560 GHz-days
Estimated T-Level:27.313
DigitsB1CurvesCompleteFacMiss
2011000577 / 1005.7700.303%
2550000577 / 2802.06112.689%
30250000296 / 6400.46362.948%

New Calculation Method

Total ECM effort:10.560 GHz-days
Estimated T-Level:27.313
DigitsB1CompleteFacMiss
201100033.7310.000%
25500004.3921.238%
302500000.43664.650%
3510000000.03496.620%
4030000000.00299.777%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002521.504
500005000000290.173
250000250000002818.387
2500002500000010.030
2500003225000070.229
2500003475000070.236


Lucas-Lehmer results:
No L-L results for M238919


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T05:50:01Oliver KruseOllaptop
477839
8973509088390161291010871
EB39C3A6EC6B98__no
2017-09-22T10:05:25Oliver KruseManual testing
477839
8973509088390161291010871
EB39C3A6EC6B98__no
2017-10-12T16:03:16kkmrkkblmbrbkc4.xlargeEB39C3A6EC6B98__no
2020-04-17T20:05:45Oliver KruseAddPrpType5
477839
8973509088390161291010871
610C840747C161__no
2021-11-06T09:26:52SRJ2877LTOS
477839
8973509088390161291010871
619742364690761250971521487
610C840747C161F8no
2022-05-12T18:21:52Jorge CoveiroManual testing
477839
610C840747C161F8no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-12T18:21:52+00:00