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 2020-11-25, 16:00 #1 petrw1 1976 Toyota Corona years forever!     "Wayne" Nov 2006 Saskatchewan, Canada 11F816 Posts 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.
 2020-11-25, 16:30 #2 Viliam Furik   "Viliam Furík" Jul 2018 Martin, Slovakia 443 Posts 13*13*13-13*13-(13+13+13+13+13+13+13+13)/13 = 2020
2020-11-25, 16:33   #3
Viliam Furik

"Viliam Furík"
Jul 2018
Martin, Slovakia

443 Posts

Quote:
 Originally Posted by Viliam Furik 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

2020-11-25, 17:02   #4
petrw1
1976 Toyota Corona years forever!

"Wayne"
Nov 2006

23×52×23 Posts

Quote:
 Originally Posted by Viliam Furik 13*(13*13-13)-(13+13+13+13+13+13+13+13)/13 = 2020 13 13's
So next I'll expect 666 666s?

 2020-11-25, 17:11 #5 VBCurtis     "Curtis" Feb 2005 Riverside, CA 3·1,579 Posts In the spirit of the original formula, solutions should use both 13 and 666.
 2020-11-25, 17:19 #6 Gelly     May 2020 5×7 Posts Trivial improvement to the original solution - 10 numbers 666+666+666-(666+666+666+666)/666+13+13
 2020-11-25, 17:39 #7 henryzz Just call me Henry     "David" Sep 2007 Cambridge (GMT/BST) 585710 Posts 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)
 2020-11-25, 18:51 #8 matzetoni     Feb 2019 23×11 Posts 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
2020-11-25, 19:37   #9
Ensigm

Aug 2020

11410 Posts

Quote:
 Originally Posted by henryzz 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!

 2020-11-25, 19:48 #10 Ensigm   Aug 2020 2·3·19 Posts ((666+666)/666)**(13-(13+13)/13)-13-13-(666+666)/666 6 each.
2020-11-25, 19:52   #11
Ensigm

Aug 2020

2×3×19 Posts

** 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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