is 2 223697 - 1
has 67340 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
Actual267132.831173.1343%30000000100708329922204,464.407323.2685%4,597.238379.3856%6.2512%
PrimeNet2400.000055.0000%2400600000.000013.4607%0.000061.0573%6.0573%
GPU722440.000059.0909%4000900000.00019.4144%0.000162.9422%3.8513%
Difference+23+132.8311+14.0434%+29996000+10070832902220+4,464.4072+13.8541%+4,597.2383+16.4433%+16.4433%

Known prime factors (1 factor, 66.2 bits, 0.02960836% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
223697867206172095687529672066.233193835002725939
3 × 64611667575313
2008-01-08364611667575313109.9728,64153,493

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-13T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.667%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.522%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.193%
2003-02-24T00:00:00ANONYMOUSv4_computers13107213107200---0.007--2.993%
2003-10-23T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.910%
2021-06-08T20:10:16Oliver KruseOllaptop300000003000000000---1.561--12.463%
2022-03-12T00:44:27Oliver KruseThreadripper-PC3000000010070832992220---4,464--23.269%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.011--
2022-03-07T05:44:07LordJuliusManual 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:19.488 GHz-days
Estimated T-Level:29.680
DigitsB1CurvesCompleteFacMiss
2011000875 / 1008.7500.015%
2550000875 / 2803.1254.369%
30250000599 / 6400.93639.193%

New Calculation Method

Total ECM effort:19.488 GHz-days
Estimated T-Level:29.680
DigitsB1CompleteFacMiss
201100065.0700.000%
25500009.4190.008%
302500000.99437.027%
3510000000.08292.145%
4030000000.00599.454%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002761.644
2500002500000059917.84


Lucas-Lehmer results:
No L-L results for M223697


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T04:19:53Oliver KruseDoppelherz
86720617209568752967
BEA3A65C209A6F__no
2017-09-22T10:02:43Oliver KruseManual testing
86720617209568752967
BEA3A65C209A6F__no
2017-10-12T12:08:32kkmrkkblmbrbkc4.xlargeBEA3A65C209A6F__no
2020-04-17T19:19:04Oliver KruseAddPrpType5
86720617209568752967
E3314D5F3DE30C__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)
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TF factor-bounds graph:
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Last modified: 2022-03-12T00:44:27+00:00