is 2 222317 - 1
has 66925 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267133.655673.1343%30000000100708329922204,464.407323.2606%4,598.062979.3834%6.2491%
PrimeNet2400.000055.0000%2400600000.000013.4484%0.000061.0518%6.0518%
GPU722440.000059.0909%4000900000.00019.4050%0.000162.9384%3.8475%
Difference+23+133.6556+14.0434%+29996000+10070832902220+4,464.4072+13.8556%+4,598.0628+16.4450%+16.4450%

Known prime factors (1 factor, 84.2 bits, 0.03788757% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
222317226938745194927790838179432684.23151039449343713659063
17 × 73 × 31039 × 1325032338737
2007-09-1731039132503233873725,568,446587.361,097.0

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-13T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.664%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.520%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.191%
2003-02-24T00:00:00ANONYMOUSv4_computers13107213107200---0.007--2.991%
2003-10-23T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.906%
2021-06-24T09:21:28Oliver KruseOllaptop300000003000000000---1.561--12.458%
2022-03-09T19:25:47Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 22693874519492779083817943
--4,464--23.261%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.011--
2022-03-07T05:44:03LordJuliusManual testing254255--0.011--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.043--
2002-04-07T00:00:00ANONYMOUSv4_computers21257--0.086--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.636 GHz-days
Estimated T-Level:27.828
DigitsB1CurvesCompleteFacMiss
2011000639 / 1006.3900.163%
2550000639 / 2802.28210.165%
30250000362 / 6400.56656.775%

New Calculation Method

Total ECM effort:12.636 GHz-days
Estimated T-Level:27.828
DigitsB1CompleteFacMiss
201100043.9450.000%
25500006.1370.216%
302500000.63253.160%
3510000000.05195.011%
4030000000.00399.661%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002771.650
250000250000003209.53
2500003600000070.239
25000036250000140.479
25000038500000210.737


Lucas-Lehmer results:
No L-L results for M222317


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T04:11:51Oliver KruseDoppelherz
22693874519492779083817943
A1599159F9F3BF__no
2017-09-22T10:02:42Oliver KruseManual testing
22693874519492779083817943
A1599159F9F3BF__no
2017-09-22T10:04:21Oliver KruseManual testing
22693874519492779083817943
A1599159F9F3BF__no
2017-11-06T16:51:41kkmrkkblmbrbkc4.xlarge
22693874519492779083817943
A1599159F9F3BF__no
2020-04-17T19:15:46Oliver KruseAddPrpType5
22693874519492779083817943
98B569AF2BA9C6__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)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
267
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-07-15T03:34:29+00:00