is 2 184231 - 1
has 55460 decimal digits
takes 0.001 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
Actual267161.286273.1343%10000000020000000001.360712.2578%162.646976.4275%3.2931%
PrimeNet2400.000055.0000%2000450000.000012.0733%0.000060.4330%5.4330%
GPU722440.000059.0909%3400700000.00008.4094%0.000162.5311%3.4402%
Difference+23+161.2862+14.0434%+99996600+1999930000+1.3607+3.8484%+162.6469+13.8964%+13.8964%

Known prime factors (1 factor, 87.2 bits, 0.04730830% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1842311724791832915470665041009692787.157468105756608678958764
22 × 433 × 3601711 × 75039033557
2007-09-08360171175039033557198,262,29427.35851.054

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.589%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.469%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.125%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.910%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.811%
2006-02-01T00:00:00Jocelyn Larouchev4_computers10000001000000---0.007--1.906%
2017-07-05T08:16:49kkmrkkblmbrbkManual testing100000000200000000012---1.361--12.258%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-10T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.013--
2022-03-07T04:34:28LordJuliusManual testing254255--0.013--
2001-01-28T00:00:00ANONYMOUSv4_computers21256--0.052--
2002-05-11T00:00:00ANONYMOUSv4_computers21257--0.104--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.354 GHz-days
Estimated T-Level:28.805
DigitsB1CurvesCompleteFacMiss
2011000763 / 1007.6300.047%
2550000763 / 2802.7256.523%
30250000487 / 6400.76146.695%

New Calculation Method

Total ECM effort:13.354 GHz-days
Estimated T-Level:28.805
DigitsB1CompleteFacMiss
201100055.2060.000%
25500007.8860.038%
302500000.82543.816%
3510000000.06893.465%
4030000000.00599.550%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002761.344
2500002500000044510.84
2500002900000070.179
25000036000000140.390
2500003849979270.201
25000038500000140.402


Lucas-Lehmer results:
No L-L results for M184231


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T01:01:29Oliver KruseOllaptop
172479183291547066504100969
8FD121B74F120D__no
2017-09-22T10:02:11Oliver KruseManual testing
172479183291547066504100969
8FD121B74F120D__no
2017-09-22T10:05:16Oliver KruseManual testing
172479183291547066504100969
8FD121B74F120D__no
2017-11-06T13:55:46kkmrkkblmbrbkc4.xlarge
172479183291547066504100969
8FD121B74F120D__no
2020-04-17T18:54:30Oliver KruseAddPrpType5
172479183291547066504100969
6135EA72A684B6__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 = 1000000 (P-1 stage 1)
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
1011
TF factor-bounds graph:
267
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-07-18T06:02:29+00:00