is 2 180289 - 1
has 54273 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9CB0A7B0890DA08Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267164.812773.1343%10000000020000000001.360712.2387%166.173476.4223%3.2880%
PrimeNet2400.000055.0000%2000450000.000012.0322%0.000060.4145%5.4145%
GPU722440.000059.0909%3200700000.00008.2921%0.000162.4831%3.3922%
Difference+23+164.8127+14.0434%+99996800+1999930000+1.3607+3.9465%+166.1734+13.9392%+13.9392%

Known prime factors (1 factor, 81.5 bits, 0.04521637% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18028934674410418835158639430312581.5209616341102018192635
5 × 23 × 2441 × 3451003 × 9926563
2009-01-27345100399265634,853,6180.02540.0470

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.581%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.463%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.118%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.901%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.800%
2017-01-13T16:19:40kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 3467441041883515863943031
--1.361--12.239%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-10T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.013--
2022-03-07T04:25:42LordJuliusManual testing254255--0.013--
2001-01-21T00:00:00ANONYMOUSv4_computers21256--0.053--
2002-05-05T00:00:00ANONYMOUSv4_computers21257--0.106--
2022-03-07T04:25:42LordJuliusManual testing257258--0.106--
2008-12-30T20:59:00Sturle Sundekraus.ifi258259--0.213--
2009-01-25T03:35:00Sturle Sundeklughardt.ifi259260--0.426--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.195 GHz-days
Estimated T-Level:29.125
DigitsB1CurvesCompleteFacMiss
2011000804 / 1008.0400.031%
2550000804 / 2802.8715.633%
30250000528 / 6400.82543.795%

New Calculation Method

Total ECM effort:14.195 GHz-days
Estimated T-Level:29.125
DigitsB1CompleteFacMiss
201100058.6150.000%
25500008.4190.022%
302500000.88341.350%
3510000000.07293.011%
4030000000.00599.517%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002761.344
2500002500000052812.85


Lucas-Lehmer results:
No L-L results for M180289


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T00:45:39Oliver KruseOllaptop
3467441041883515863943031
663FC1B89849B6__no
2017-09-22T10:04:58Oliver KruseManual testing
3467441041883515863943031
663FC1B89849B6__no
2017-10-12T02:55:37kkmrkkblmbrbkc4.xlarge663FC1B89849B6__no
2020-04-17T17:59:58Oliver KruseAddPrpType5
3467441041883515863943031
E1506ADEC70C40__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T04:25:42+00:00