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A073502 Magic constant for n X n magic square with prime entries (regarding 1 as a prime) with smallest row sums. +0
3
111, 102, 213, 408, 699, 1114, 1681, 2416 (list; graph; listen)
OFFSET

3,1

COMMENT

Until the early part of the twentieth century 1 was regarded as a prime (cf. A008578).

I do not know how far these entries have been rigorously computed. Lee Sallows has confirmed the first term (cf. A073473).

REFERENCES

W. S. Andrews and H. A. Sayles, The Monist (Chicago) for October 1913.

H. E. Dudeney, Amusements in Mathematics, Nelson, London, 1917, page 125, who quotes the Andrews-Sayles article as his source.

LINKS

Index entries for sequences related to magic squares

Eric Weisstein's World of Mathematics, Prime Magic Square

CROSSREFS

Cf. A073473 (for the n=3 square), A024351.

Sequence in context: A123698 A123727 A072807 this_sequence A066335 A107844 A084504

Adjacent sequences: A073499 A073500 A073501 this_sequence A073503 A073504 A073505

KEYWORD

nonn

AUTHOR

njas, Aug 27 2002

EXTENSIONS

What is the analogous sequence when 1 is not allowed? All I know is that it begins with 177 (see A024351).

Dudeney gives 36095/11 for n = 11 (an obvious typo) and 4514 for n = 12.

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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