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单词 PrimeMagicSquare
释义

prime magic square


A prime magic squareMathworldPlanetmath is a magic square consisting only of prime numbersMathworldPlanetmath (the magic constant may be a composite numberMathworldPlanetmath, especially if the sides are of even length). The primes don’t have to be consecutive, though it is sometimes convenient to consider 1 a prime number for the purpose of constructing these squares.

The smallest prime magic square with the smallest possible magic constant (111) is

[6714313376131737]

first published by Henry Ernest Dudeney in 1917.

Rudolf Ondrejka constructed this magic square using only Chen primesMathworldPlanetmath:

[1789711135954729101]

The magic constant is 177.

References

  • 1 Dudeney, E. Amusements in Mathematics New York: Dover (1970): Problem 408
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更新时间:2025/5/4 10:36:54