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Arrange the numbers 1-9 in a 3×3 square using each only once

Brain Teaser for Engineers

Arrange the numbers 1-9 in a 3×3 square using each once only, according to the following rules:

  • exactly one prime number is directly above a prime number that’s two numbers less;
  • each pair of opposite corners sums to the same square total and exactly two columns share another square total;
  • exactly one prime number is directly to the left of a non-prime number that’s two numbers greater;
  • directly above exactly one square number is a number that’s four numbers greater; and
  • directly to the right of exactly one cubic number is a number that’s one number greater.

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Posted by on May 28th, 2009 and filed under Discussions. You can follow any responses to this entry through the RSS 2.0. You can skip to the end and leave a response. Pinging is currently not allowed.

10 Responses for “Arrange the numbers 1-9 in a 3×3 square using each only once”

  1. Rod says:

    Does this work too?

    7 8 9
    2 4 5
    1 6 3

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