is 2 224677 - 1
has 67635 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-L2FB66B635A8B7D82double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267132.251773.1343%30000000100708329922204,464.407323.2741%4,596.659079.3871%6.2527%
PrimeNet2400.000055.0000%2400600000.000013.4694%0.000061.0612%6.0612%
GPU722440.000059.0909%40001000000.00019.6313%0.000163.0310%3.9401%
Difference+23+132.2517+14.0434%+29996000+10070832892220+4,464.4072+13.6428%+4,596.6589+16.3561%+16.3561%

Known prime factors (2 factors, 155.5 bits, 0.06919148% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22467739838962759019949511961.7898865830227175
52 × 354633209087
2008-06-24253546332090872.3009157.20293.61
224677157404709972690885022284312812993.66835029110672808272547320
23 × 3 × 5 × 139 × 1858303 × 1130099121133
2021-01-04185830311300991211331.612e+10500.96935.63

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2246776270840378696368222257182919685157553911246223147155.457
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-13T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.668%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.523%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.195%
2003-02-24T00:00:00ANONYMOUSv4_computers13107213107200---0.007--2.995%
2003-10-23T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.912%
2021-06-11T10:55:20Oliver KruseOllaptop300000003000000000---1.561--12.467%
2022-03-13T12:26:19Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 3983896275901994951
skipped known factor: 15740470997269088502228431281
--4,464--23.274%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.011--
2022-03-07T05:44:10LordJuliusManual testing254255--0.011--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.043--
2002-04-07T00:00:00ANONYMOUSv4_computers21257--0.085--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.946 GHz-days
Estimated T-Level:27.648
DigitsB1CurvesCompleteFacMiss
2011000613 / 1006.1300.211%
2550000613 / 2802.18911.156%
30250000339 / 6400.53058.855%

New Calculation Method

Total ECM effort:11.946 GHz-days
Estimated T-Level:27.648
DigitsB1CompleteFacMiss
201100037.0890.000%
25500004.9250.726%
302500000.49560.962%
3510000000.03996.140%
4030000000.00399.743%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002741.633
250000250000002948.759
2500002500000030.089
2500003475000070.235
25000038500000351.229


Lucas-Lehmer results:
No L-L results for M224677


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T04:25:50Oliver KruseDoppelherz
3983896275901994951
EC9D4F12D76D07__no
2017-09-22T10:02:43Oliver KruseManual testing
3983896275901994951
EC9D4F12D76D07__no
2017-10-12T12:22:15kkmrkkblmbrbkc4.xlargeEC9D4F12D76D07__no
2020-04-17T19:17:10Oliver KruseAddPrpType5
3983896275901994951
97C3B826A1B389__no
2021-01-04T23:24:10mrhlanai
3983896275901994951
15740470997269088502228431281
97C3B826A1B38956no


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: 2022-05-17T13:04:20+00:00