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Adjacents sum to primes

Source: Indonesian Mathematical Olympiad 2014 Day 1 Problem 1

September 3, 2014
combinatorics proposedcombinatorics

Problem Statement

Is it possible to fill a 3×33 \times 3 grid with each of the numbers 1,2,…,91,2,\ldots,9 once each such that the sum of any two numbers sharing a side is prime?
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