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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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10 comments

  1. Does this work too?

    7 8 9
    2 4 5
    1 6 3

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