perplexus.info :: Just Math : Minimizing ones

Minimizing ones (Posted on 2024-03-20)

For each positive integer n, let k(n) be the number of ones in the binary representation of 2023 * n.
What is the minimum value of k(n)?

Bonus: Same question for 2024*n.

Source: Putnam 2023

No Solution Yet Submitted by Ady TZIDON

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Findings

| Comment 3 of 4 |

(In reply to Findings by Larry)

The smallest value of k(n) is 3

Putnam did not ask for minimal n.

Posted by Ady TZIDON on 2024-03-21 03:38:48

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