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A073473
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Primes forming 3 X 3 magic square with prime entries and minimal constant.
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2
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OFFSET
| 1,2
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COMMENTS
| Until the early part of the twentieth century 1 was regarded as a prime (cf. A008578).
"The problem of constructing magic squares with prime numbers only was first discussed by myself in The Weekly Dispatch for Jul 22 1900 and Aug 05 1900; but during the last three or four years it has received great attention from American mathematicians. First, they have sought to form these squares with the smallest possible constants.
"Thus the first nine prime numbers, 1 to 23 inclusive, sum to 99, which (being divisible by 3) is theoretically a suitable series; yet it has been demonstrated that the smallest possible constant is 111 and the required series as follows: 1,7,13,31,37,43,61,67,73." - Dudeney
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REFERENCES
| H. E. Dudeney, Amusements in Mathematics, Nelson, London, 1917, page 125.
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LINKS
| Harvey Heinz, Prime Magic Squares
Index entries for sequences related to magic squares
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EXAMPLE
| The square is [ 43 1 67 / 61 37 13 / 7 73 31 ].
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CROSSREFS
| Cf. A008578, A073350, A073502.
Sequence in context: A133325 A063583 A065764 * A040084 A151723 A046139
Adjacent sequences: A073470 A073471 A073472 * A073474 A073475 A073476
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KEYWORD
| nonn,fini,full
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AUTHOR
| Lee Sallows (Sallows(AT)psych.kun.nl), Aug 27 2002
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