is 2 289361 - 1
has 87107 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
Actualunknown50000500000.000514.8983%0.000514.8983%14.8983%
PrimeNet2400.000052.5000%3000800000.000115.0797%0.000159.6628%7.1628%
GPU722440.000056.8182%55001400000.000111.1847%0.000161.6479%4.8298%
Difference-440.0000-56.8182%+44500-90000+0.0004+3.7137%+0.0004-46.7496%-46.7496%

Known prime factors (2 factors, 144.1 bits, 0.04980707% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2893613475601200456468391858.270600564899979
32 × 11 × 827 × 1151 × 6373
2014-04-23115163730.21141.422e-52.321e-5
289361698376213026284520646506332685.852120675594331351585156
22 × 37 × 43 × 61 × 2347 × 132448288537
2015-01-23234713244828853751,087,54371.500133.54

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2893612427277204364396777074827299177028503579908744144.122
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-02-06T16:48:27Lisander ViaeneManual testing5000050000-
skipped known factor: 347560120045646839
--0.000--9.709%


Trial Factoring results:
No TF results for M289361


ECM factoring results:

Old Calculation Method

Total ECM effort:8.717 GHz-days
Estimated T-Level:26.398
DigitsB1CurvesCompleteFacMiss
2011000460 / 1004.6000.982%
2550000460 / 2801.64319.286%
30250000179 / 6400.28075.585%

New Calculation Method

Total ECM effort:8.717 GHz-days
Estimated T-Level:26.398
DigitsB1CompleteFacMiss
201100027.2710.000%
25500003.5452.886%
302500000.34470.862%
3510000000.02797.357%
4030000000.00299.827%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002711.983
500005000000100.073
250000250000001585.781
2500003300000070.284
2500003675000070.296
2500003750000070.299


Lucas-Lehmer results:
No L-L results for M289361


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T12:54:46Oliver KruseOllaptopE9D04155482180__?
2017-09-22T20:36:33Oliver KruseManual testingE9D04155482180__?
2017-10-12T20:01:36Oliver KruseGTX-2E9D04155482180__no
2017-11-06T21:10:16kkmrkkblmbrbkc4.xlarge
347560120045646839
69837621302628452064650633
E9D04155482180__no
2020-04-17T22:11:25Oliver KruseAddPrpType5
347560120045646839
69837621302628452064650633
AEBB64E0AFC249__no


P-1 factor-bounds graph:
B1 = 50000 (P-1 stage 1)
102
103
104
105
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
250
260
270
280
290
2100
Last modified: 2022-06-21T10:11:44+00:00