is 2 10044017 - 1
has 3023551 decimal digits
takes 2.930 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L77D6068298853424double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26911.886465.2174%11000019525000.08902.6875%11.975366.1522%0.9348%
PrimeNet2640.354462.5000%4500013000000.04793.7469%0.402363.9051%1.4051%
GPU722685.934464.7059%6500015000000.06062.5696%5.994965.6128%0.9069%
Difference+1+5.9520+0.5115%+45000+452500+0.0284+0.1179%+5.9804+0.5394%+0.5394%

Known prime factors (1 factor, 67.0 bits, 0.00066729% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
100440171499147782645198156072167.0237462889512459
29 × 233 × 1104467887
2016-06-1623311044678873.898225.44947.531

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-09T00:00:00Martti Järviv4_computers55000838750---0.041--1.891%
2011-12-23T15:56:00bcp19acer-Q82001100001952500---0.089--2.688%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers21264--0.354--
2011-09-27T13:13:00David CampeauManual testing264265--0.372--
2015-04-20T13:22:00ThaManual testing265266--0.744--
2015-11-10T09:03:34VictordeHollanderManual testing266267--1.488--
2016-06-16T17:45:23mikrManual testing267268
skipped known factors(?)
--2.976--
2016-06-16T17:50:15mikrManual testing267268*67.023210.9405.9551.910
2021-12-28T17:29:08ViliamFManual testing268269--5.952--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.444 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.444 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03296.826%
25500000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.444


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-08-31T00:00:00ANONYMOUSv4_computers77D60682988534242.930
2003-11-28T00:00:00Martti Järviv4_computers77D60682988534242.930


PRP results:
dateuseridcompidcofactorsres64PRP
2019-12-21T12:02:42Alvin BunkBADCAT
149914778264519815607
8B4BEF51579568__no
2021-01-22T22:17:34XZTM900Tiny2
149914778264519815607
8B4BEF5157956812no


P-1 factor-bounds graph:
B1 = 110000, B2 = 1952500 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
B1 = 55000, B2 = 838750 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
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106
101
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1010
TF factor-bounds graph:
269
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267
266
265
264
250
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2100
Last modified: 2021-12-28T17:29:08+00:00