is 2 19179679 - 1
has 5773659 decimal digits
takes 12.227 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA039C9559D308B36double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2696.224763.7681%21500031712500.34763.6539%6.572365.0920%1.3239%
PrimeNet2650.380461.5385%9000028000000.21974.8388%0.600163.3995%1.8611%
GPU722696.224763.7681%14000040000000.32383.6065%6.548565.0748%1.3067%
Difference---+75000-828750+0.0238+0.0475%+0.0238+0.0172%+0.0172%

Known prime factors (1 factor, 70.8 bits, 0.00036907% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1917967920355003220472915735212270.78653063983032440
23 × 5 × 29 × 45744812959
2019-09-11294574481295913.4842,303.84,302.9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-05-04T00:00:00ANONYMOUSv4_computers2150003171250---0.348--3.654%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-10-27T00:00:00Net_Forcev4_computers21258--0.002--
2002-01-15T00:00:00Net_Forcev4_computers21259--0.004--
2002-08-03T00:00:00Architects Cubedv4_computers21266--0.770--
2014-07-06T00:25:00NesowaManual testing266267--0.779--
2014-07-06T00:25:00NesowaManual testing267268--1.558--
2017-11-28T10:46:26ramgeisManual testing268269--3.117--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.969 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.969 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03296.826%
25500000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.969


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-06-06T00:00:00ANONYMOUSv4_computersA039C9559D308B3612.23
2007-04-23T00:00:00ANONYMOUSv4_computersA039C9559D308B3612.23


PRP results:
No PRP results for M19179679


P-1 factor-bounds graph:
B1 = 215000, B2 = 3171250 (P-1 stage 2)
B1 = 215000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2019-09-11T21:40:17+00:00