is 2 217691 - 1
has 65532 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-L7C54B71AAACB3567double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267136.495873.1343%30000000100708329922204,464.407323.2337%4,600.903179.3762%6.2419%
PrimeNet2400.000055.0000%2200550000.000013.0465%0.000060.8709%5.8709%
GPU722440.000059.0909%4000900000.00019.3732%0.000162.9254%3.8345%
Difference+23+136.4958+14.0434%+29996000+10070832902220+4,464.4072+13.8604%+4,600.9030+16.4508%+16.4508%

Known prime factors (1 factor, 92.9 bits, 0.04266246% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21769190648112263314230130587161912892.87220820362868312017982045
3 × 5 × 19 × 181 × 1992 × 295271 × 34517387
2009-03-23295271345173876.447e+90.01760.0286

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.656%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.514%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.184%
2003-02-24T00:00:00ANONYMOUSv4_computers13107213107200---0.007--2.981%
2003-10-23T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.896%
2021-05-02T10:47:26Dylan Delgadolaptop-ryzen737006500000604500000-
skipped known factor: 9064811226331423013058716191
--0.318--9.287%
2021-05-29T14:56:21Oliver KruseOllaptop300000003000000000-
skipped known factor: 9064811226331423013058716191
--1.561--12.438%
2022-03-02T03:20:25Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 9064811226331423013058716191
--4,464--23.234%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.011--
2022-03-07T05:43:57LordJuliusManual testing254255--0.011--
2001-02-04T00:00:00ANONYMOUSv4_computers21256--0.044--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.044--
2002-03-31T00:00:00ANONYMOUSv4_computers21257--0.088--
2022-03-07T05:43:57LordJuliusManual testing257258--0.088--
2008-12-31T19:48:00Sturle Sundebuxtehude.ifi258259--0.176--
2009-01-22T18:18:00Sturle Sundeiago.ifi259260--0.353--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.141 GHz-days
Estimated T-Level:27.961
DigitsB1CurvesCompleteFacMiss
2011000656 / 1006.5600.137%
2550000656 / 2802.3439.565%
30250000379 / 6400.59255.286%

New Calculation Method

Total ECM effort:13.141 GHz-days
Estimated T-Level:27.961
DigitsB1CompleteFacMiss
201100045.5540.000%
25500006.3790.170%
302500000.65951.756%
3510000000.05394.795%
4030000000.00499.646%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002771.649
250000250000003309.82
2500003225000070.228
2500003359371870.232
2500003600000070.239
25000036250000140.479
25000038500000140.491


Lucas-Lehmer results:
No L-L results for M217691


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T03:38:46Oliver KruseOllaptop
9064811226331423013058716191
E1436960F42E3D__no
2017-09-22T10:03:56Oliver KruseManual testing
9064811226331423013058716191
E1436960F42E3D__no
2017-10-12T10:37:32kkmrkkblmbrbkc4.xlargeE1436960F42E3D__no
2020-04-17T19:14:24Oliver KruseAddPrpType5
9064811226331423013058716191
EF25105AE78BFA__no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 6500000, B2 = 604500000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 6500000 (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
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105
106
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108
103
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109
1010
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1014
TF factor-bounds graph:
267
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-07-18T02:48:16+00:00