is 2 490421 - 1
has 147632 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-L754CB0AC6480EC5Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26760.588671.6418%30000001000000000.14157.2641%60.730173.7018%2.0600%
PrimeNet2400.000052.5000%50001700000.000219.0576%0.000261.5524%9.0524%
GPU722440.000056.8182%90002800000.000414.3220%0.000463.0027%6.1845%
Difference+23+60.5886+14.8236%+2991000+99720000+0.1411-7.0578%+60.7297+10.6991%+10.6991%

Known prime factors (1 factor, 65.9 bits, 0.01344377% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
490421703448409810645089932065.93171718830332576
25 × 72 × 45739049957
2009-07-27494573904995715.52342.55879.486

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.752%
2002-09-22T00:00:00ANONYMOUSv4_computers655366553600---0.007--2.487%
2003-04-27T00:00:00ANONYMOUSv4_computers13107213107200---0.014--3.351%
unknown3000000100000000---0.141--7.264%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.005--
2022-03-07T07:41:45LordJuliusManual testing254255--0.005--
2001-03-25T00:00:00ANONYMOUSv4_computers21256--0.020--
2002-01-22T00:00:00ANONYMOUSv4_computers21257--0.039--
2003-12-23T00:00:00ANONYMOUSv4_computers21258--0.078--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.948 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000424 / 1004.2401.410%
2550000424 / 2801.51421.937%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:12.948 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8600.000%
25500003.0254.858%
302500000.28775.066%
3510000000.02297.833%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002803.625
250000250000001449.322


Lucas-Lehmer results:
No L-L results for M490421


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T02:15:05Oliver KruseDoppelherz
70344840981064508993
433B41FA431B64__no
2017-09-27T07:36:31Oliver KruseManual testing
70344840981064508993
433B41FA431B64__no
2017-11-07T06:52:55kkmrkkblmbrbkc4.xlarge
70344840981064508993
433B41FA431B64__no
2020-04-18T22:43:28Oliver KruseAddPrpType5
70344840981064508993
3614921EE168BC__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T07:41:45+00:00