is 2 217457 - 1
has 65462 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
Actual267136.642773.1343%30000000100708329922204,464.407323.2323%4,601.050079.3758%6.2415%
PrimeNet2400.000055.0000%2200550000.000013.0444%0.000060.8700%5.8700%
GPU722440.000059.0909%4000900000.00019.3716%0.000162.9247%3.8338%
Difference+23+136.6427+14.0434%+29996000+10070832902220+4,464.4072+13.8607%+4,601.0499+16.4511%+16.4511%

Known prime factors (2 factors, 169.9 bits, 0.07814015% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2174578357533079983936574872169.5021921651885196599
1871 × 300043 × 3423083
2007-08-223000433423083972.570.00380.0050
217457169554094034952974249950218251931100.4203898566016153836718292587
41 × 95086976003752115080307
2021-12-0441950869760037521150803077.173e+114.215e+137.872e+13

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21745714170539497438265390433316906885391296148834448697
53
52169.921
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.655%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.514%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.183%
2003-02-24T00:00:00ANONYMOUSv4_computers13107213107200---0.007--2.981%
2003-10-23T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.895%
2021-05-02T04:57:23Dylan Delgadolaptop-ryzen737006500000604500000-
skipped known factor: 835753307998393657487
--0.318--9.286%
2021-05-29T04:34:15Oliver KruseOllaptop300000003000000000-
skipped known factor: 835753307998393657487
--1.561--12.437%
2022-03-01T18:40:02Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 835753307998393657487
--4,464--23.232%


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--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.125 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:13.125 GHz-days
Estimated T-Level:27.961
DigitsB1CompleteFacMiss
201100045.4900.000%
25500006.3740.171%
302500000.65851.786%
3510000000.05394.800%
4030000000.00499.646%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002771.649
2500002500000033710.03
2500003300000070.230
2500003600000070.239
2500003625000070.239
25000038500000210.737


Lucas-Lehmer results:
No L-L results for M217457


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T03:37:39Oliver KruseOllaptop
835753307998393657487
0F5F0A087BBE0E__no
2017-09-22T10:03:55Oliver KruseManual testing
835753307998393657487
0F5F0A087BBE0E__no
2017-10-12T10:34:10kkmrkkblmbrbkc4.xlarge0F5F0A087BBE0E__no
2020-04-17T19:17:22Oliver KruseAddPrpType5
835753307998393657487
4057CAADCC14E0__no
2021-12-04T09:12:42SRJ2877LTOS
835753307998393657487
1695540940349529742499502182519
4057CAADCC14E07Bno


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)
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TF factor-bounds graph:
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Last modified: 2022-07-14T09:41:49+00:00