is 2 16783453 - 1
has 5052323 decimal digits
takes 9.177 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC0793D43E9E32F22double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2671.770462.6866%21000053025000.38654.9137%2.156964.5200%1.8335%
PrimeNet2650.434761.5385%8000024000000.16364.5220%0.598363.2777%1.7392%
GPU722697.113463.7681%12000032000000.22823.2893%7.341664.9599%1.1918%
Difference-2-5.3429-1.0815%+90000+2102500+0.1583+1.6244%-5.1846-0.4399%-0.4399%

Known prime factors (1 factor, 69.2 bits, 0.00041215% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
167834536657298317982933976572169.17319832922098876
22 × 19 × 149 × 1751406049
2017-06-0814917514060498.124975.657141.31

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-10-26T00:00:00ANONYMOUSv4_computers2100005302500---0.386--4.914%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-12-14T00:00:00ANONYMOUSv4_computers21256--0.001--
2001-07-17T00:00:00Jocelyn Larouchev4_computers21261--0.018--
2002-01-02T00:00:00ANONYMOUSv4_computers21264--0.212--
2002-01-08T00:00:00ANONYMOUSv4_computers21265--0.435--
2016-03-16T13:00:04Mark RoseManual testing265266--0.445--
2014-09-16T13:08:00NesowaManual testing266267--0.890--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.831 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.831 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.831


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-11-02T00:00:00ANONYMOUSv4_computersC0793D43E9E32F229.177
2006-12-18T00:00:00TwistedFate2kv4_computersC0793D43E9E32F229.177


PRP results:
No PRP results for M16783453


P-1 factor-bounds graph:
B1 = 210000, B2 = 5302500 (P-1 stage 2)
B1 = 210000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
266
265
264
261
256
250
260
270
280
290
2100
Last modified: 2017-06-08T07:49:16+00:00