is 2 289789 - 1
has 87236 decimal digits
takes 0.002 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
Actualunknown50000500000.000514.9009%0.000514.9009%14.9009%
PrimeNet2400.000052.5000%3000800000.000115.0827%0.000159.6643%7.1643%
GPU722440.000056.8182%55001400000.000111.1871%0.000161.6490%4.8308%
Difference-440.0000-56.8182%+44500-90000+0.0004+3.7139%+0.0004-46.7480%-46.7480%

Known prime factors (3 factors, 199.0 bits, 0.06867089% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
289789215458121511134.32737175
52 × 1487
-2514878.265e-91.037e-61.496e-6
2897894935451056227127390472168.742851559420169007
11 × 83 × 331 × 24709 × 114041
2014-09-2624709114041371.210.00030.0005
289789755932321639938157832043459432995.932130428056558381815360839
3 × 14737 × 1085677 × 2717315383537
2020-09-29108567727173153835374.626e+101,466.92,739.8

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2897891063383013379242255454134476009732103.068
289789162871758009234198079061977853469695339340130.259
2897893730866975274057368432861427202257681567967213632150164.674
28978980384559009624401803851829565913605490160196723844
1130236471
60199.0007
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-02-06T16:48:25Lisander ViaeneManual testing5000050000-
skipped known factor: 21545812151
--0.000--9.711%


Trial Factoring results:
No TF results for M289789


ECM factoring results:

Old Calculation Method

Total ECM effort:17.387 GHz-days
Estimated T-Level:28.008
DigitsB1CurvesCompleteFacMiss
2011000663 / 1006.6300.128%
2550000663 / 2802.3689.329%
30250000385 / 6400.60254.770%

New Calculation Method

Total ECM effort:17.387 GHz-days
Estimated T-Level:28.008
DigitsB1CompleteFacMiss
201100041.0510.000%
25500005.5480.389%
302500000.56356.928%
3510000000.04595.620%
4030000000.00399.707%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002782.035
250000250000001646.001
2500002500000010.037
250000367500002209.315


Lucas-Lehmer results:
No L-L results for M289789


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T13:05:54Oliver KruseDoppelherz
21545812151
493545105622712739047
A20D99D3E23D80__no
2017-09-24T17:45:29Oliver KruseManual testing
21545812151
493545105622712739047
A20D99D3E23D80__no
2017-09-29T18:25:12alpertronManual testing
21545812151
493545105622712739047
A20D99D3E23D80__no
2017-12-07T05:31:38ATHxps
21545812151
493545105622712739047
A20D99D3E23D80__no
2020-04-17T22:12:08Oliver KruseAddPrpType5
21545812151
493545105622712739047
0E9D11FBF537CD__no
2020-09-29T06:34:41M Millercruncher
21545812151
493545105622712739047
75593232163993815783204345943
0E9D11FBF537CDEBno


P-1 factor-bounds graph:
B1 = 50000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
230
240
250
260
270
280
290
2100
Last modified: 2022-04-25T22:14:06+00:00