is 2 489457 - 1
has 147342 decimal digits
takes 0.006 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26760.707971.6418%30000001000000000.14157.2627%60.849473.7014%2.0596%
PrimeNet2400.000052.5000%50001700000.000219.0532%0.000261.5503%9.0503%
GPU722440.000056.8182%90002800000.000414.3185%0.000463.0012%6.1830%
Difference+23+60.7079+14.8236%+2991000+99720000+0.1411-7.0558%+60.8490+10.7002%+10.7002%

Known prime factors (1 factor, 82.0 bits, 0.01675470% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
48945748593326944575592424354092582.0074964003675969042472
23 × 3 × 2604529 × 79413009607
2007-12-282604529794130096072,734,01173.931138.00

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.751%
2002-09-22T00:00:00ANONYMOUSv4_computers655366553600---0.007--2.487%
2003-04-27T00:00:00ANONYMOUSv4_computers13107213107200---0.014--3.350%
unknown3000000100000000---0.141--7.263%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.005--
2022-03-07T07:41:43LordJuliusManual testing254255--0.005--
2001-04-01T00:00:00ANONYMOUSv4_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:12.946 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:12.946 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
250000250000001449.321


Lucas-Lehmer results:
No L-L results for M489457


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T01:05:41Oliver KruseDoppelherz
4859332694457559242435409
6E0A4D2488EC8C__no
2017-09-27T07:36:27Oliver KruseManual testing
4859332694457559242435409
6E0A4D2488EC8C__no
2017-11-07T06:15:17kkmrkkblmbrbkc4.xlarge
4859332694457559242435409
6E0A4D2488EC8C__no
2020-04-18T22:37:41Oliver KruseAddPrpType5
4859332694457559242435409
F414F13CB98C8E__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)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T07:41:43+00:00