is 2 10319423 - 1
has 3106456 decimal digits
takes 3.371 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-LB895E304DDFAE2BCdouble-checked
PRP48E04A4840414B__
unverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672.879464.1791%12500025312500.12133.6690%3.000765.4934%1.3143%
PrimeNet2640.344962.5000%4500013000000.05373.7623%0.398663.9109%1.4109%
GPU722685.776064.7059%7000016000000.07262.6598%5.848665.6446%0.9388%
Difference-1-2.8966-0.5268%+55000+931250+0.0487+1.0091%-2.8479-0.1513%-0.1513%

Known prime factors (1 factor, 115.2 bits, 0.00111659% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
103194234857927682259447769035190704512414335115.2262353778734653792062325185577
3 × 47 × 113 × 4703 × 62001493 × 506630057911
2016-09-28620014935066300579111.268e+1013,10224,419

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00Team Prime Ribv4_computers55000632500---0.041--2.272%
2004-04-29T00:00:00Team Prime Ribv4_computers50000737500---0.041--2.322%
2013-06-09T23:06:00NesowaOutback1250002531250---0.121--3.669%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-07T00:00:00ANONYMOUSv4_computers21264--0.345--
2013-09-25T09:16:00NesowaManual testing264265--0.362--
2015-04-29T08:20:00ThaManual testing265266--0.724--
2015-12-11T23:17:24VictordeHollanderManual testing266267--1.448--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.993 GHz-days
Estimated T-Level:0.100
DigitsB1CurvesCompleteFacMiss
20110002 / 1000.02098.010%
25500002 / 2800.00799.287%

New Calculation Method

Total ECM effort:0.993 GHz-days
Estimated T-Level:0.100
DigitsB1CompleteFacMiss
20110000.06593.752%
25500000.00699.419%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.497
50000500000010.497


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-08-01T00:00:00ANONYMOUSv4_computersB895E304DDFAE2BC3.371
2004-04-29T00:00:00Team Prime Ribv4_computersB895E304DDFAE2BC3.371


PRP results:
dateuseridcompidcofactorsres64PRP
2020-04-02T18:49:54Oliver KruseThreadripper-PC
48579276822594477690351907045124143
48E04A4840414B__no
2021-02-21T17:24:34monstedliane
48579276822594477690351907045124143
48E04A4840414B42no


P-1 factor-bounds graph:
B1 = 125000, B2 = 2531250 (P-1 stage 2)
B1 = 125000 (P-1 stage 1)
B1 = 50000, B2 = 737500 (P-1 stage 2)
B1 = 55000, B2 = 632500 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
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1010
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TF factor-bounds graph:
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2100
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2120
Last modified: 2021-02-21T17:24:34+00:00