is 2 208589 - 1
has 62792 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-L5CBECBEF0AA20F__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267142.452073.1343%30000000100708329922203,668.770323.1791%3,811.222379.3615%6.2272%
PrimeNet2400.000055.0000%2200550000.000012.9629%0.000060.8333%5.8333%
GPU722440.000059.0909%3600800000.00018.9274%0.000162.7430%3.6521%
Difference+23+142.4520+14.0434%+29996400+10070832912220+3,668.7703+14.2517%+3,811.2222+16.6185%+16.6185%

Known prime factors (1 factor, 85.9 bits, 0.04119274% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
208589733762231705117360679969692685.924175887086976091107556
22 × 43971771744022776889
2007-08-1444397177174402277688937,695,5261.602e+102.992e+10

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.638%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.503%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.169%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.963%
2003-10-14T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.874%
2021-05-11T07:30:49Oliver KruseOllaptop300000003000000000---1.282--12.398%
2022-02-14T15:10:33Oliver KruseThreadripper-PC3000000010070832992220---3,669--23.179%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.012--
2022-03-07T05:09:10LordJuliusManual 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--0.092--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.579 GHz-days
Estimated T-Level:28.125
DigitsB1CurvesCompleteFacMiss
2011000677 / 1006.7700.111%
2550000677 / 2802.4188.873%
30250000400 / 6400.62553.500%

New Calculation Method

Total ECM effort:12.579 GHz-days
Estimated T-Level:28.125
DigitsB1CompleteFacMiss
201100047.8170.000%
25500006.7570.116%
302500000.70349.495%
3510000000.05894.403%
4030000000.00499.615%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002771.354
250000250000003458.429
25000031250000150.397
2500003375000070.191
25000038500000210.605
25000055133578571.360
5000005000000050.244


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-12-25T00:00:00ANONYMOUSv4_computers5CBECBEF0AA20F__0.001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T02:56:21Oliver KruseDoppelherz
73376223170511736067996969
00CA1F7F0F21A1__no
2017-09-22T10:02:31Oliver KruseManual testing
73376223170511736067996969
00CA1F7F0F21A1__no
2017-10-12T08:35:22kkmrkkblmbrbkc4.xlarge00CA1F7F0F21A1__no
2020-04-17T19:12:57Oliver KruseAddPrpType5
73376223170511736067996969
E9A3B0AF5F25AE__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 = 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)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
TF factor-bounds graph:
267
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-07-03T20:24:51+00:00