is 2 16734281 - 1
has 5037521 decimal digits
takes 9.150 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
Actual2683.561864.7059%----3.561864.7059%0.0000%
PrimeNet2650.436063.0769%7000024000000.15624.4242%0.592164.7105%1.6336%
GPU722697.134365.2174%12000032000000.22823.2879%7.362566.3610%1.1436%
Difference-1-3.5724-0.5115%-120000-3200000-0.2282-3.2879%-3.8006-1.6551%-1.1436%

Known prime factors (4 factors, 187.0 bits, 0.00111769% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
16734281100405687926.5813
3
-135.346e-138.793e-71.614e-6
16734281133874249926.9964
22
2008-09-08445.347e-133.171e-66.454e-6
16734281714972569312085543772065.9552136251235748
22 × 7 × 277 × 275432083
2019-08-012772754320830.601111.89822.222
167342812094191380787101699212167.5056257189600160
25 × 3 × 5 × 17 × 97 × 593 × 13331
2022-09-22593133312.35560.00100.0011

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
16734281134417359424540631753.578
1673428171787312007935066424995419992892.536
1673428195716415772255898795965378732892.951
16734281210268724297407546848047407272994.086
16734281280358298365146268868362643292994.501
1673428196104724827909890584113766796008375136119.532
16734281281495675535034879812146637646683902337121.083
167342811497289392152578199779828734890243829421741133.459
16734281150336370056892022970116952868995801290596601207949160.041
16734281200448492910092899909296537232051490090714191803349160.456
1673428120126168638752506849215156507505208281931850748660
1053671
57187.037
P-1 results:
No P-1 results for M16734281


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T12:38:00Will EdgingtonManual testing??26.99694.62546e-1619.079.63732e-16
2022-09-25T06:23:19LordJuliusManual testing261265--0.418--
2019-08-01T10:15:32TJAOIManual testing265266*65.955200.16518.630.336
2022-09-25T06:23:19LordJuliusManual testing26526665.955200.16518.630.336
2022-09-25T06:23:19LordJuliusManual testing266267--0.893--
2022-09-22T09:45:24TJAOIManual testing267268*67.505210.58018.631.181
2022-09-25T06:23:19LordJuliusManual testing26726867.505210.58018.631.181


ECM factoring results:
No ECM results for M16734281


Lucas-Lehmer results:
No L-L results for M16734281


PRP results:
No PRP results for M16734281


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-09-25T06:23:19+00:00