Problem 49884. Prime Magic Squares

Created by Doddy Kastanya

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<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 84px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 42px; transform-origin: 407px 42px; vertical-align: baseline; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">A magic square is loosely defined as a square divided into smaller squares each containing a number, such that the numbers in each columns, in each rows, and in the diagonal add up to the same value. For this problem, the numbers which will be filling the squares are primes. There is no unique answer to the problem; therefore, your answers will be tested against the requirement.</span></span></div></div></div>

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Last Solution submitted on Jul 15, 2023

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Ramon Villamangca on 9 Nov 2021

Is there an algorithm for this?

Christian Schröder on 15 Jul 2023

@Ramon yes; for instance, you could consider all (n^2)-tuples of distinct primes in order of their sum until you find one that happens to yield a magic square. Practical algorithms, on the the hand --- I'm not aware of any.

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Problem 49884. Prime Magic Squares

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Problem 49884. Prime Magic Squares

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Last 200 Solutions

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Problem Recent Solvers10

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