is 2 54039893 - 1
has 16267629 decimal digits
takes 106.766 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
Actual2681.103061.7647%----1.103061.7647%0.0000%
PrimeNet2692.209262.3188%240000100000002.21095.3438%4.420164.3325%2.0136%
GPU7227335.396964.3836%360000120000002.84813.9213%38.245065.7802%1.3966%
Difference-5-34.2939-2.6189%-360000-12000000-2.8481-3.9213%-37.1420-4.0155%-4.0155%

Known prime factors (4 factors, 192.6 bits, 0.00035645% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
54039893324239359928.2723
3
-136.622e-133.177e-65.830e-6
54039893187729184292711444.094173695
5 × 34739
2008-09-305347396.923e-80.00540.0101
54039893235667833950076071754.388218049871
13 × 17 × 19 × 51929
2015-08-0719519298.623e-50.00820.0151
54039893676095213124200994092065.874625551953928
23 × 3 × 11 × 292 × 31 × 90887
2019-06-20841908870.24960.01650.0265

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
5403989360869190380661158772892272.366
5403989376412787416891102938039132582.660
54039893219216678526359317710904388312994.146
540398934424173023147760903455364644973098.481
54039893126922802864012173106089395540083934109.968
54039893159333894420995491164489409325120426337120.261
5403989314344910251305221576216283175963353742339126.754
5403989341153368243110671176115464606614262542220142138.240
5403989351662319794037254197064209641865669621318741745148.534
540398932991162202983426025995839680800454333458713918227350164.355
5403989396985251536037394229280839476950391998942565381039
81683007
58192.628
P-1 results:
No P-1 results for M54039893


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T05:44:00markrManual testing??44.094142.58612e-8219.85.32333e-8
2014-11-20T12:17:00TJAOIManual testing254255*54.388174.18231e-5219.88.60896e-5
2019-06-20T11:37:08TJAOIManual testing265266*65.874200.115219.50.236
2022-08-10T19:29:26LordJuliusManual testing2126644.094146.92292e-8219.81.42503e-7
2022-08-10T19:29:26LordJuliusManual testing2126654.388178.62319e-5219.80.000
2022-08-10T19:29:26LordJuliusManual testing2126628.27296.62172e-13219.81.36303e-12
2022-08-10T19:29:26LordJuliusManual testing2126665.874200.250219.50.513
2022-08-10T19:29:26LordJuliusManual testing266267--0.277--
2022-08-10T19:29:26LordJuliusManual testing267268--0.553--


ECM factoring results:
No ECM results for M54039893


Lucas-Lehmer results:
No L-L results for M54039893


PRP results:
No PRP results for M54039893


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
105
TF factor-bounds graph:
268
267
266
255
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-08-10T19:29:26+00:00