is 2 474899 - 1
has 142959 decimal digits
takes 0.006 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAE1FF6457901D1BFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26762.568971.6418%100000002500000000.39419.0548%62.963074.2096%2.5678%
PrimeNet2400.000052.5000%45001600000.000218.6576%0.000261.3623%8.8623%
GPU722440.000056.8182%80002600000.000413.9327%0.000462.8346%6.0164%
Difference+23+62.5689+14.8236%+9992000+249740000+0.3937-4.8779%+62.9626+11.3750%+11.3750%

Known prime factors (1 factor, 64.1 bits, 0.01349642% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
474899196934089061327061912064.09420734312881405
3 × 5 × 4909 × 281582303
2009-08-3049092815823038.49120.26210.4893

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.005--2.478%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.742%
2002-09-14T00:00:00ANONYMOUSv4_computers655366553600---0.007--2.475%
2003-04-27T00:00:00ANONYMOUSv4_computers13107213107200---0.014--3.336%
2009-08-07T16:08:00James Hintzhome210000000250000000---0.394--9.055%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.005--
2022-03-07T07:41:22LordJuliusManual testing254255--0.005--
2001-03-25T00:00:00ANONYMOUSv4_computers21256--0.020--
2002-01-28T00:00:00ANONYMOUSv4_computers21257--0.040--
2003-12-31T00:00:00ANONYMOUSv4_computers21258--0.081--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.909 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000423 / 1004.2301.425%
2550000423 / 2801.51122.016%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:12.909 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8220.000%
25500003.0214.875%
302500000.28775.083%
3510000000.02297.834%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002793.605
250000250000001449.304


Lucas-Lehmer results:
No L-L results for M474899


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-26T05:35:37Oliver KruseDoppelherz
19693408906132706191
167AA19ACBC963__no
2017-09-27T07:35:30Oliver KruseManual testing
19693408906132706191
167AA19ACBC963__no
2017-11-09T06:39:56kkmrkkblmbrbkc4.large
19693408906132706191
167AA19ACBC963__no
2020-04-18T10:36:56Oliver KruseAddPrpType5
19693408906132706191
8880314A5F9C72__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 250000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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102
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109
TF factor-bounds graph:
267
258
257
256
255
254
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2100
Last modified: 2022-03-07T07:41:22+00:00