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Old 2020-11-25, 16:00   #1
petrw1
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"Wayne"
Nov 2006
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Default 13x666=2020

In honor of UncWilly's New Math:
https://www.mersenneforum.org/showpo...postcount=1068

Find a formula using only 13 and 666 to get 2020.
You can only use +. -, x, /, ^, !, √

1. Find an answer with the fewest numbers (not digits).
2. Find an answer with the same number of each; and the fewest.

For example my first attempt uses 11 numbers.
So its an answer for 1. but not for 2.
666+666+666+13+13-(13+13)/13-(666+666)/666.
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Old 2020-11-25, 16:30   #2
Viliam Furik
 
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13*13*13-13*13-(13+13+13+13+13+13+13+13)/13 = 2020
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Old 2020-11-25, 16:33   #3
Viliam Furik
 
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Quote:
Originally Posted by Viliam Furik View Post
13*13*13-13*13-(13+13+13+13+13+13+13+13)/13 = 2020
13*(13*13-13)-(13+13+13+13+13+13+13+13)/13 = 2020

13 13's
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Old 2020-11-25, 17:02   #4
petrw1
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Quote:
Originally Posted by Viliam Furik View Post
13*(13*13-13)-(13+13+13+13+13+13+13+13)/13 = 2020

13 13's
So next I'll expect 666 666s?
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Old 2020-11-25, 17:11   #5
VBCurtis
 
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In the spirit of the original formula, solutions should use both 13 and 666.
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Old 2020-11-25, 17:19   #6
Gelly
 
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Trivial improvement to the original solution - 10 numbers

666+666+666-(666+666+666+666)/666+13+13
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Old 2020-11-25, 17:39   #7
henryzz
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Not much of a record but the first to use ^
(13+13+13+13)/13 + (13+13/13)*(13-13/13)^((13+13)/13)


7 of each
(666+666+666+666)/666 + (13+666/666)*(13-13/13)^((13+13)/13)
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Old 2020-11-25, 18:51   #8
matzetoni
 
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Trial and error got me down to 9 numbers:



2020 = 666+((13+13)/13)*(666+13-(13+13)/13)

Last fiddled with by matzetoni on 2020-11-25 at 18:59
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Old 2020-11-25, 19:37   #9
Ensigm
 
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Quote:
Originally Posted by henryzz View Post
Not much of a record but the first to use ^
(13+13+13+13)/13 + (13+13/13)*(13-13/13)^((13+13)/13)


7 of each
(666+666+666+666)/666 + (13+666/666)*(13-13/13)^((13+13)/13)
The second one is really a smooth answer!
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Old 2020-11-25, 19:48   #10
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((666+666)/666)**(13-(13+13)/13)-13-13-(666+666)/666


6 each.
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Old 2020-11-25, 19:52   #11
Ensigm
 
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** means ^——I was using python as my calculator, as many would have guessed it.

Written with ^, my answer would be
Quote:
((666+666)/666)^(13-(13+13)/13)-13-13-(666+666)/666
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