Square prime
Source: Kyiv City MO 2024 Round 1, Problem 8.2
January 28, 2024
number theoryprime numbers
Problem Statement
Write the numbers from to in the cells of a of a square so that:
1. Each cell contains exactly one number;
2. Each number is written exactly once;
3. For any two cells that are symmetrical with respect to any of the perpendicular bisectors of sides of the
original square, the sum of numbers in them is a prime numberThe figure below shows examples of such pairs of cells, sums of numbers in which have to be prime.https://i.ibb.co/fqX05dY/Kyiv-MO-2024-Round-1-8-2.pngProposed by Mykhailo Shtandenko