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Old 2020-11-26, 12:08   #23
henryzz
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Quote:
Originally Posted by petrw1 View Post
is SQRT(666*666) cheap?
Was trying to avoid that
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Old 2020-11-26, 18:53   #24
swishzzz
 
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(666 + (666+666+666)/666) * (13+13+13)/13 + 13

Uses 5 of each.
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Old 2020-11-26, 20:26   #25
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13 * (13*13+13-666/(13+13)) - 13

8 numbers used.
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Old 2020-11-26, 20:58   #26
R. Gerbicz
 
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Quote:
Originally Posted by petrw1 View Post
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 Q2 the optimal is 9 terms (using 4 pieces of 13 and 5 pieces 666):
Code:
13-(666-(666+666)*(666+13*(13+13)))/666
and for Q1 the optimal is the above 8 terms.
Assuming that we would use "only" the +,-,*,/ operations (no other crazy . or concat) and no large (intermediate) numbers.
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Old 2020-11-26, 21:29   #27
swishzzz
 
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I've proven by brute force search that there does not exist a solution using either 7 numbers or 4 of each, if we only allow the simple operators +, -, *, /.

The closest solution with 4 of each is 13 + 13 + 666 + 666 + 666 - 666/(13*13) = 2020.05917...
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Old 2020-11-26, 21:44   #28
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2020 = 666 + 666 + 666 + sqrt(666 - 13*13 - 13)

7 numbers.
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Old 2020-11-26, 22:46   #29
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Quote:
Originally Posted by swishzzz View Post
2020 = 666 + 666 + 666 + sqrt(666 - 13*13 - 13)

7 numbers.
Genius!
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Old 2020-11-27, 12:21   #30
Viliam Furik
 
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Quote:
Originally Posted by swishzzz View Post
2020 = 666 + 666 + 666 + sqrt(666 - 13*13 - 13)

7 numbers.
Nice!
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Old 2020-11-27, 14:00   #31
henryzz
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Quote:
Originally Posted by swishzzz View Post
2020 = 666 + 666 + 666 + sqrt(666 - 13*13 - 13)

7 numbers.
Very impressive

Note this can be converted to 4 of each quite easily:
2020 = 666 + 666 + 666 + sqrt(666 - 13*(13+13/13))

It would surprise me if these are beaten
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Old 2020-11-27, 16:19   #32
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Quote:
Originally Posted by swishzzz View Post
2020 = 666 + 666 + 666 + sqrt(666 - 13*13 - 13)

7 numbers.
Quote:
Originally Posted by henryzz View Post
Note this can be converted to 4 of each quite easily:
2020 = 666 + 666 + 666 + sqrt(666 - 13*(13+13/13))

It would surprise me if these are beaten
I can only marvel at these.
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Old 2020-11-28, 11:23   #33
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Quote:
Originally Posted by henryzz View Post
Very impressive

Note this can be converted to 4 of each quite easily:
2020 = 666 + 666 + 666 + sqrt(666 - 13*(13+13/13))

It would surprise me if these are beaten
Got to love it.

The newspapers need to be told - the World needs to know

I suggest the Daily Mail or the Sun in the UK, and Fox News for the telly. And the boys and girls in QAnon, and the anti Vaxxers, and the Covid deniers, and, and....

Last fiddled with by robert44444uk on 2020-11-28 at 11:23
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