IMO 2022 Shortlist N7
Let k be a positive integer and let S be a finite set of odd prime numbers. Prove that there is at most one way (modulo ...
Category: Number Theory
Problem
Let k be a positive integer and let S be a finite set of odd prime numbers. Prove that
there is at most one way (modulo rotation and reflection) to place the elements of S around a
circle such that the product of any two neighbors is of the form x2
x k for some positive
integer x.
(U.S.A.)