is 2 793841 - 1
has 238970 decimal digits
takes 0.016 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L333376A9B55F79F2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26737.430670.1493%500000150000000.03744.5794%37.467971.5163%1.3670%
PrimeNet2400.000050.0000%70003000000.000722.2938%0.000761.1469%11.1469%
GPU722440.000054.5455%130005000000.001117.1038%0.001162.3199%7.7744%
Difference+23+37.4306+15.6038%+487000+14500000+0.0362-12.5243%+37.4668+9.1964%+9.1964%

Known prime factors (2 factors, 152.3 bits, 0.01918017% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7938413323147628865895159992168.171209308137830239
7 × 22441 × 1332434497
2009-07-1222441133243449786.1522.10293.9266
793841205724375107794032545187692684.08912957530230096079224
23 × 19 × 157 × 542973945277241
2020-03-231575429739452772416,477,888856,7071,600,091

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
793841683652469339383724262901362144981881737128523146152.260
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.203%
2002-02-10T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.434%
2002-03-31T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.782%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.271%
2002-07-27T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.907%
2002-12-31T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.683%
2003-07-21T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.587%
unknown50000015000000---0.037--4.579%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-10-07T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.012--
2001-12-08T00:00:00ANONYMOUSv4_computers21257--0.024--
2003-09-14T00:00:00ANONYMOUSv4_computers21258--0.048--
2008-10-11T05:42:00Sturle Sundeiago.ifi258259--0.048--
2008-10-11T06:14:00Sturle Sundeiago.ifi259260--0.097--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.390 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000323 / 1003.2303.892%
2550000323 / 2801.15431.486%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.390 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002796.368
25000025000000353.994
2500002500000091.027


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-11-02T00:00:00ANONYMOUSv4_computers333376A9B55F79F20.016


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T00:53:19Oliver KruseGTX-2
332314762886589515999
EC312030773D62__no
2017-10-13T22:15:05Oliver KruseThreadripperEC312030773D62__no
2017-12-17T08:35:13ATHec2-1xf
332314762886589515999
EC312030773D62__no
2020-03-23T11:40:06CrypticCluecruncher
332314762886589515999
20572437510779403254518769
C60C2F5B3AFE221Ano
2020-03-26T05:40:28oodairacom2
332314762886589515999
20572437510779403254518769
C60C2F5B3AFE221Ano


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-03-26T05:40:28+00:00