499

This number is a prime.

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A Knight's Tour

A knight's tour is a numbered tour of a knight over an otherwise empty chessboard visiting each square once only. A queen placed on the start of a tour discovered by George Jelliss can attack all of the odd primes, and every odd number attacked by the queen is a prime. It is also a more restricted version known as a re-entrant tour, in which the knight, on its 64th move, could arrive back at its starting square. The sum of the odd primes in the tour is 499.

Submitted: 2008-02-21 03:58:54; Last Modified: 2023-10-14 13:06:10.