There is, perhaps surprisingly, a reasonably simple formula for determining what the "Magic Total" for any given "basic" Magic Square will be.

However, before giving this formula, there is another term to explain, and that is the word
"**basic**". In this context, it means that the Magic Square is constructed using
consecutive numbers, starting with one.

Well, having got that out of the way, here is the formula:
where "N" is the number of cells on each side of the Magic Square. |

To show a few examples, here are the "Magic Totals" for the Magic Squares of "orders" three up to seven:

Order | Magic Total |
---|---|

3 | 15 |

4 | 34 |

5 | 65 |

6 | 111 |

7 | 175 |

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Created: Sunday 4th January, 1998

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