is 2 1028411 - 1
has 309583 decimal digits
takes 0.030 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8497EEC4C86592BEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26728.893070.1493%1000000010000000002.747811.6403%31.640973.6240%3.4747%
PrimeNet2560.009364.2857%4500600000.00031.9503%0.009764.9823%0.6965%
GPU722600.149366.6667%4500170000.00020.5982%0.149666.8661%0.1994%
Difference+7+28.7437+3.4826%+9995500+999983000+2.7476+11.0421%+31.4913+6.7579%+6.7579%

Known prime factors (1 factor, 68.7 bits, 0.00667880% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10284114746912171316668085932168.686230788671616536
23 × 3 × 11 × 19 × 46010500721
2009-07-29194601050072196.158107.73201.21

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-22T00:00:00Jocelyn Larouchev4_computers10000100000---0.001--0.491%
2002-11-09T00:00:00Jocelyn Larouchev4_computers1100011000---0.000--0.148%
2002-11-09T00:00:00Jocelyn Larouchev4_computers1500015000---0.001--0.198%
2002-11-16T00:00:00Jocelyn Larouchev4_computers102841028411---0.003--0.979%
2002-11-16T00:00:00Jocelyn Larouchev4_computers2000020000---0.001--0.255%
2016-03-17T18:59:19alpertronManual testing3000001000000012---0.036--4.079%
2021-07-14T12:57:32ViliamF3100000001000000000---2.748--11.640%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-03T00:00:00ANONYMOUSv4_computers21257--0.019--
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.037--
2022-03-07T17:30:26LordJuliusManual testing258260--0.112--
2009-02-16T21:44:00Sturle Sundegerle.ifi260261--0.149--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.409 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:17.409 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
5000050000002799.73
25000025000000447.675


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-03T00:00:00ANONYMOUSv4_computers8497EEC4C86592BE0.030


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T18:17:39Oliver KruseGTX-0
474691217131666808593
25CC7D6B6C4951__no
2017-10-15T19:10:16Oliver KruseThreadripper
474691217131666808593
25CC7D6B6C4951__no
2017-12-27T12:50:00ATHec2-1xf
474691217131666808593
25CC7D6B6C4951__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1000000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 10284, B2 = 1028411 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 10000, B2 = 100000 (P-1 stage 2)
B1 = 11000 (P-1 stage 1)
B1 = 10284 (P-1 stage 1)
B1 = 10000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T17:30:26+00:00