is 2 205423 - 1
has 61839 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-L4834B88DF1C32CC0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267144.647573.1343%30000000102640764025803,739.164623.1831%3,883.812179.3626%6.2283%
PrimeNet2400.000055.0000%2200500000.000012.6961%0.000060.7132%5.7132%
GPU722440.000059.0909%3600800000.00018.9048%0.000162.7338%3.6429%
Difference+23+144.6475+14.0434%+29996400+10264076322580+3,739.1645+14.2783%+3,883.8120+16.6288%+16.6288%

Known prime factors (1 factor, 78.2 bits, 0.03805400% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2054233404206199423571639413112478.172828584481636323985
3 × 5 × 11903 × 1226293 × 3784381
2009-02-1712262933784381513,7640.00910.0167

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.632%
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.632%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.498%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.163%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.956%
2003-10-14T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.866%
2021-05-08T06:28:10Oliver KruseOllaptop300000003000000000-
skipped known factor: 340420619942357163941311
--1.282--12.384%
2022-02-09T03:35:25Oliver KruseThreadripper-PC3000000010264076402580-
skipped known factor: 340420619942357163941311
--3,739--23.183%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.012--
2022-03-07T05:08:58LordJuliusManual testing254255--0.012--
2001-02-04T00:00:00ANONYMOUSv4_computers21256--0.047--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.047--
2002-03-16T00:00:00ANONYMOUSv4_computers21257--0.093--
2022-03-07T05:08:58LordJuliusManual testing257258--0.093--
2008-12-31T04:06:00Sturle Sundeagrell.ifi258259--0.187--
2009-01-24T04:36:00Sturle Sundegolan.ifi259260--0.374--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.868 GHz-days
Estimated T-Level:28.320
DigitsB1CurvesCompleteFacMiss
2011000702 / 1007.0200.086%
2550000702 / 2802.5078.114%
30250000425 / 6400.66451.449%

New Calculation Method

Total ECM effort:11.868 GHz-days
Estimated T-Level:28.320
DigitsB1CompleteFacMiss
201100049.6080.000%
25500007.0120.090%
302500000.72948.263%
3510000000.05994.235%
4030000000.00499.606%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002771.353
250000250000003909.52
2500003386104470.191
2500003600000070.196
25000038500000210.604


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-12-16T00:00:00ANONYMOUSv4_computers4834B88DF1C32CC00.001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T02:40:27Oliver KruseDoppelherz
340420619942357163941311
B956A187EDC8E7__no
2017-09-22T10:02:29Oliver KruseManual testing
340420619942357163941311
B956A187EDC8E7__no
2017-10-12T07:54:06kkmrkkblmbrbkc4.xlargeB956A187EDC8E7__no
2020-04-17T19:11:26Oliver KruseAddPrpType5
340420619942357163941311
66C8141ECF75E3__no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10264076402580 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (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
1011
1012
1013
1014
TF factor-bounds graph:
267
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-08-08T07:03:15+00:00