is 2 209707 - 1
has 63129 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-L1726264C190CFE3Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267141.692573.1343%30000000100708329922203,668.770323.1859%3,810.462979.3634%6.2290%
PrimeNet2400.000055.0000%2200550000.000012.9733%0.000060.8380%5.8380%
GPU722440.000059.0909%4000900000.00019.3169%0.000162.9024%3.8115%
Difference+23+141.6925+14.0434%+29996000+10070832902220+3,668.7703+13.8690%+3,810.4628+16.4610%+16.4610%

Known prime factors (2 factors, 170.2 bits, 0.08116220% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
209707243229698682811215304332374.36557992746709173088
25 × 17 × 17327 × 6152496901
2010-04-2517327615249690119,9342.24134.1860
209707708170498747866056002033740492995.838168847606123750293505232
24 × 29 × 363895702852910115313
2020-11-19293638957028529101153137.083e+101.326e+112.476e+11

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
20970717224809702649959783852968232513784965807052359332
17
52170.203
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.641%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.504%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.171%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.965%
2003-10-14T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.877%
2009-03-15T14:59:00axnManual testing5000000200000000---0.104--7.749%
2021-05-13T14:11:12Oliver KruseOllaptop300000003000000000---1.282--12.403%
2022-02-16T13:52:30Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 24322969868281121530433
--3,669--23.186%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.011--
2022-03-07T05:09:13LordJuliusManual testing254255--0.011--
2001-02-04T00:00:00ANONYMOUSv4_computers21256--0.046--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.046--
2002-03-24T00:00:00ANONYMOUSv4_computers21257--0.092--
2022-03-07T05:09:13LordJuliusManual testing257258--0.092--
2008-12-31T11:15:00Sturle Sundeantonov.ifi258259--0.183--
2009-01-25T17:15:00Sturle Sundeghia.ifi259260--0.366--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.909 GHz-days
Estimated T-Level:28.016
DigitsB1CurvesCompleteFacMiss
2011000665 / 1006.6500.125%
2550000665 / 2802.3759.262%
30250000386 / 6400.60354.684%

New Calculation Method

Total ECM effort:10.909 GHz-days
Estimated T-Level:28.016
DigitsB1CompleteFacMiss
201100041.1670.000%
25500005.4860.414%
302500000.55557.427%
3510000000.04495.669%
4030000000.00399.711%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002791.363
250000250000003538.626
2500002500000050.122
2500003600000070.196
2500003725000070.199
25000038500000140.403


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-12-25T00:00:00ANONYMOUSv4_computers1726264C190CFE3F0.001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T02:57:37Oliver KruseOllaptop
24322969868281121530433
DC9224256676C6__no
2017-09-22T10:02:32Oliver KruseManual testing
24322969868281121530433
DC9224256676C6__no
2017-09-22T10:03:20Oliver KruseManual testing
24322969868281121530433
DC9224256676C6__no
2017-11-06T16:30:07kkmrkkblmbrbkc4.xlarge
24322969868281121530433
DC9224256676C6__no
2020-04-17T19:13:29Oliver KruseAddPrpType5
24322969868281121530433
A0AB4C920E4AAF__no
2020-11-19T15:10:48mrhlanai
24322969868281121530433
70817049874786605600203374049
A0AB4C920E4AAFE0no
2020-11-19T19:34:48mnd9vv
24322969868281121530433
70817049874786605600203374049
A0AB4C920E4AAFE0no


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)
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
1021
TF factor-bounds graph:
267
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-05-22T04:52:00+00:00