is 2 600451 - 1
has 180754 decimal digits
takes 0.009 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
Actualunknown1000000300000000.056839.9716%0.056839.9716%39.9716%
PrimeNet2400.000050.0000%60002200000.000420.5188%0.000460.2594%10.2594%
GPU722440.000054.5455%100003600000.000615.4295%0.000661.5589%7.0134%
Difference-440.0000-54.5455%+990000+29640000+0.0562+24.5420%+0.0562-21.5873%-21.5873%

Known prime factors (2 factors, 119.6 bits, 0.01991854% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
600451317038129928.240264
23 × 3 × 11
-8116.296e-111.799e-73.587e-7
60045131798578020395038188703013672891.3612647891170170008725833
13 × 31 × 181 × 199 × 182416212381569
2020-08-011991824162123815691.355e+9218,965408,966

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
600451100813616804465667482299523905982234337119.601
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T18:48:47alpertronManual testing10000003000000012-
skipped known factor: 317038129
--0.057--31.459%


Trial Factoring results:
No TF results for M600451


ECM factoring results:

Old Calculation Method

Total ECM effort:17.525 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000425 / 1004.2501.396%
2550000425 / 2801.51821.859%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:17.525 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100021.0650.000%
25500002.5907.504%
302500000.24278.521%
3510000000.01898.191%
4030000000.00199.885%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002814.761
25000025000000443.727
25000025000000685.760
25000040000000323.277


Lucas-Lehmer results:
No L-L results for M600451


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T12:14:46Oliver KruseGTX-3
317038129
03ECE91F9C8FC7__no
2017-09-28T09:43:54Oliver KruseManual testing
317038129
03ECE91F9C8FC7__no
2017-11-09T03:44:44kkmrkkblmbrbkc4.large
317038129
03ECE91F9C8FC7__no
2020-04-19T13:09:35Oliver KruseAddPrpType5
317038129
B2C80F3368F88A__no
2020-08-02T08:30:46ANONYMOUSdory
317038129
3179857802039503818870301367
B2C80F3368F88A1Fno
2020-08-06T12:55:43nordisweet16
317038129
3179857802039503818870301367
B2C80F3368F88A1Fno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
220
230
240
250
260
270
280
290
2100
Last modified: 2022-05-05T09:28:56+00:00