---
tag: 1TPAY8432S
kind: conjecture
name: Magic square
aliases: [date-magic-square, date-magic-squares, kamea-magic, kameas, magic-squares, multiplicative-magic-square, numbers-planetary, orthomagic-square, semimagic-square, simple-magic-square, simple-magic-squares, the-arithmetic-progression-in-magic-square, wafq]
sources:
  - wikipedia: en:52202@r1375445832
    locator: Magic square
    note: adopted
    mention: wikipedia://en/52202
    sections: [Statement]
same_as:
  wikidata: Q192089
  wikipedia: Magic square
inventory: [4BKC0W5T4J]
---

## Statement

In mathematics, especially historical and recreational mathematics, a **magic square** is a square array of numbers, usually positive integers, where the sums of the numbers in each row, each column, and both main diagonals are the same. The *order* of a magic square is the number of integers along one side (*n*), and the constant sum is called the *magic constant* or *magic sum*. If the array includes just the positive integers $1,2,...,n^2$, the magic square is said to be *normal*. Many authors take magic square to mean normal magic square.