is 2 185957 - 1
has 55979 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
Actual267159.789273.1343%10000000020000000001.360712.2661%161.149976.4297%3.2954%
PrimeNet2400.000055.0000%2000450000.000012.0910%0.000060.4409%5.4409%
GPU722440.000059.0909%3400700000.00008.4227%0.000162.5366%3.4457%
Difference+23+159.7892+14.0434%+99996600+1999930000+1.3607+3.8433%+161.1499+13.8931%+13.8931%

Known prime factors (1 factor, 60.0 bits, 0.03226874% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18595711577138758118471191960.0063112853712987
3 × 3511 × 295533439
2007-08-1535112955334391.61380.10770.2011

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-27T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.593%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.472%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.129%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.914%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.816%
2006-02-01T00:00:00Jocelyn Larouchev4_computers10000001000000---0.007--1.908%
2017-05-26T18:28:59kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 1157713875811847119
--1.361--12.266%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-10T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.013--
2022-03-07T04:34:31LordJuliusManual testing254255--0.013--
2001-01-28T00:00:00ANONYMOUSv4_computers21256--0.052--
2002-05-11T00:00:00ANONYMOUSv4_computers21257--0.103--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.451 GHz-days
Estimated T-Level:28.789
DigitsB1CurvesCompleteFacMiss
2011000761 / 1007.6100.048%
2550000761 / 2802.7186.570%
30250000485 / 6400.75846.841%

New Calculation Method

Total ECM effort:14.451 GHz-days
Estimated T-Level:28.789
DigitsB1CompleteFacMiss
201100055.1990.000%
25500007.9000.037%
302500000.82743.718%
3510000000.06893.443%
4030000000.00599.548%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002761.345
2500002500000045010.96
2500003375000070.190
25000038500000210.602
25000055133578571.353


Lucas-Lehmer results:
No L-L results for M185957


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T01:09:13Oliver KruseOllaptop
1157713875811847119
AAF97A45F26784__no
2017-09-22T10:05:23Oliver KruseManual testing
1157713875811847119
AAF97A45F26784__no
2017-10-12T03:59:34kkmrkkblmbrbkc4.xlargeAAF97A45F26784__no
2020-04-17T19:01:07Oliver KruseAddPrpType5
1157713875811847119
8518F120CF56E2__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)
102
103
104
105
106
107
108
102
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: 2022-07-03T21:42:35+00:00