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MathNet 2024-part-04 — 168 problems (EN–VI) Question 88

Math Olympiad Vault · MathNet 2024-part-04 — 168 problems (EN–VI)

Question 88

Is it possible to arrange the first 49 positive integers in a $7 \times 7$ array, so that each cell contains exactly one number and no two primes are neighbours?

Two neighbours are numbers from cells with a common side or a common vertex.