Difference between revisions of "2019 IMO Problems/Problem 4"

(Created page with "Find all pairs <math>(k,n)</math> of positive integers such that <cmath>k!=(2^n-1)(2^n-2)(2^n-4)\dots(2^n-2^{n-1}).</cmath>")
(No difference)

Revision as of 09:20, 19 July 2019

Find all pairs $(k,n)$ of positive integers such that

\[k!=(2^n-1)(2^n-2)(2^n-4)\dots(2^n-2^{n-1}).\]