is 2 185323 - 1
has 55788 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
Actual267160.335873.1343%10000000020000000001.360712.2630%161.696676.4289%3.2945%
PrimeNet2400.000055.0000%2000450000.000012.0845%0.000060.4380%5.4380%
GPU722440.000059.0909%3400700000.00008.4179%0.000162.5346%3.4437%
Difference+23+160.3358+14.0434%+99996600+1999930000+1.3607+3.8452%+161.6965+13.8943%+13.8943%

Known prime factors (1 factor, 64.7 bits, 0.03490641% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
185323297516545807819441592064.69080269730634573
32 × 323087 × 27605131
2007-09-253230872760513124.3250.01210.0188

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-27T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.591%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.471%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.127%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.912%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.814%
2006-02-01T00:00:00Jocelyn Larouchev4_computers10000001000000---0.007--1.908%
2017-05-26T18:28:58kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 29751654580781944159
--1.361--12.263%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-10T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.013--
2022-03-07T04:34:30LordJuliusManual 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:13.384 GHz-days
Estimated T-Level:28.813
DigitsB1CurvesCompleteFacMiss
2011000764 / 1007.6400.046%
2550000764 / 2802.7296.499%
30250000488 / 6400.76346.622%

New Calculation Method

Total ECM effort:13.384 GHz-days
Estimated T-Level:28.813
DigitsB1CompleteFacMiss
201100055.3610.000%
25500007.9040.037%
302500000.82743.743%
3510000000.06893.452%
4030000000.00599.549%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002761.344
2500002500000044610.86
2500003125000070.185
25000036000000140.390
2500003800000070.200
25000038500000140.402


Lucas-Lehmer results:
No L-L results for M185323


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T01:06:08Oliver KruseOllaptop
29751654580781944159
3E3A4DAC13287E__no
2017-09-22T10:05:20Oliver KruseManual testing
29751654580781944159
3E3A4DAC13287E__no
2017-10-12T03:50:39kkmrkkblmbrbkc4.xlarge3E3A4DAC13287E__no
2020-04-17T18:55:20Oliver KruseAddPrpType5
29751654580781944159
6AD9E9DDC40397__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
TF factor-bounds graph:
267
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-07-12T02:55:12+00:00