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2024-12-02 14:05:49

David Meyer on Nostr: Did you know that 276,951,438 is the smallest 9-digit number that, when written in ...

Did you know that 276,951,438 is the smallest 9-digit number that, when written in three rows of 3, forms a 3×3 magic square?

It is also the only 3x3 normal magic square, excluding rotations and reflections.

Interestingly, a normal magic square of order n, that is, a magic square which contains the integers 1,2,...,n², has magic constant M given by

M = n · (n² + 1)/2

For example, the magic square in the image contains integers 1,2,..,3² and so

M = 3 · (3² + 1)/2 = 3 · 10/2 = 15

[Image credit: https://fermatslibrary.com]

References
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[1] "Magic constant", https://en.wikipedia.org/wiki/Magic_constant

[2] "A006003", https://oeis.org/A006003

[3] "Notes on Magic Squares and Cubes", https://www.trump.de/magic-squares

[4] "Magic Square", https://mathworld.wolfram.com/MagicSquare.html

#math #maths #magicsquare #magicconstant #numbertheory

Author Public Key
npub1eek26lgxr8a5e9xytuhsauxn82j6ytkdu27xeuqv4sz4rtvsw62qjlk3gv