Number of Magic Squares of Order 5
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Theorem
Up to rotations and reflections, there are $275 \, 305 \, 224$ distinct magic squares of order $5$.
Proof
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Historical Note
The number of magic squares of order $5$ was determined by Richard Schroeppel in $1973$.
Sources
- Jan. 1976: Martin Gardner: Mathematical Games (Scientific American Vol. 234, no. 1: p. ???)
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $275,305,224$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $275,305,224$