is 2 206909 - 1
has 62286 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-L4A88621B2C6DE90Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267143.608673.1343%30000000100708329922203,668.770323.1687%3,812.378979.3588%6.2244%
PrimeNet2400.000055.0000%2200550000.000012.9471%0.000060.8262%5.8262%
GPU722440.000059.0909%3600800000.00018.9155%0.000162.7381%3.6472%
Difference+23+143.6086+14.0434%+29996400+10070832912220+3,668.7703+14.2533%+3,812.3789+16.6206%+16.6206%

Known prime factors (1 factor, 78.7 bits, 0.03804701% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2069094987615632459169922907832478.7231205267927557324699
63425359 × 19002934261
2010-07-026342535919002934261512,2527.323312.929

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.635%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.500%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.166%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.960%
2003-10-14T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.870%
2009-03-11T05:36:00axnManual testing5000000200000000---0.104--7.739%
2021-05-09T11:53:40Oliver KruseOllaptop300000003000000000---1.282--12.390%
2022-02-11T12:34:08Oliver KruseThreadripper-PC3000000010070832992220---3,669--23.169%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.012--
2022-03-07T05:09:02LordJuliusManual testing254255--0.012--
2001-02-04T00:00:00ANONYMOUSv4_computers21256--0.046--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.046--
2002-03-16T00:00:00ANONYMOUSv4_computers21257--0.093--
2022-03-07T05:09:02LordJuliusManual testing257258--0.093--
2009-01-01T11:45:00Sturle Sundeagrell.ifi258259--0.186--
2009-02-06T00:19:00Sturle Sundegolan.ifi259260--0.371--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.693 GHz-days
Estimated T-Level:28.211
DigitsB1CurvesCompleteFacMiss
2011000687 / 1006.8700.100%
2550000687 / 2802.4548.561%
30250000411 / 6400.64252.588%

New Calculation Method

Total ECM effort:12.693 GHz-days
Estimated T-Level:28.211
DigitsB1CompleteFacMiss
201100048.4720.000%
25500006.8590.105%
302500000.71249.045%
3510000000.05894.357%
4030000000.00499.614%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002761.348
250000250000003769.184
2500003600000070.196
25000038500000210.604
25000055133578571.360


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-12-16T00:00:00ANONYMOUSv4_computers4A88621B2C6DE90F0.001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T02:47:07Oliver KruseDoppelherz
498761563245916992290783
D175CF42CDF6F1__no
2017-09-22T10:02:30Oliver KruseManual testing
498761563245916992290783
D175CF42CDF6F1__no
2017-10-12T08:13:43kkmrkkblmbrbkc4.xlargeD175CF42CDF6F1__no
2020-04-17T19:07:59Oliver KruseAddPrpType5
498761563245916992290783
7AE3D44EB67265__no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (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: 2022-07-03T21:45:44+00:00