is 2 16800271 - 1
has 5057386 decimal digits
takes 9.186 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF8B60B65C93A5763double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2671.768762.6866%20500044587500.34634.7320%2.114964.4522%1.7657%
PrimeNet2650.434361.5385%8000024000000.16364.5227%0.597963.2780%1.7395%
GPU722697.106263.7681%12000032000000.22823.2897%7.334464.9601%1.1919%
Difference-2-5.3376-1.0815%+85000+1258750+0.1181+1.4422%-5.2195-0.5078%-0.5078%

Known prime factors (1 factor, 70.4 bits, 0.00041895% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1680027115418981083207928307992270.38545889084417769
41 × 379 × 30493 × 96847
2017-06-10304939684727.4370.02700.0492

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-10-19T00:00:00ANONYMOUSv4_computers2050004458750---0.346--4.732%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-12-14T00:00:00ANONYMOUSv4_computers21256--0.001--
2001-04-15T00:00:00Net_Forcev4_computers21259--0.005--
2001-07-17T00:00:00Jocelyn Larouchev4_computers21260--0.009--
2002-01-02T00:00:00subgeniusv4_computers21265--0.434--
2014-03-13T21:08:00NesowaManual testing265266--0.445--
2014-09-15T21:07:00NesowaManual 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)
2002-11-16T00:00:00ANONYMOUSv4_computersF8B60B65C93A57639.186
2006-04-14T00:00:00ANONYMOUSv4_computers7E894C72836C8D__9.186
2007-09-13T00:00:00shaneamyv4_computersF8B60B65C93A57639.186


PRP results:
No PRP results for M16800271


P-1 factor-bounds graph:
B1 = 205000, B2 = 4458750 (P-1 stage 2)
B1 = 205000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
TF factor-bounds graph:
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256
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2100
Last modified: 2017-06-10T21:43:41+00:00