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A072359 Primes p such that the p-1 digits of the decimal expansion of k/p (for k=1,2,3,...,p-1) fit into the k-th row of a magic square grid of order p-1.

%I A072359 #19 Oct 13 2022 13:03:55
%S A072359 19,383,32327,34061,45341,61967,65699,117541,158771,405817,444287,
%T A072359 456503,695389,724781,1102567,1177859,1498139,2336989,2695337,3036857,
%U A072359 3249419,3512749,3571429,4427299,5141051,7033823,8324411,9932179
%N A072359 Primes p such that the p-1 digits of the decimal expansion of k/p (for k=1,2,3,...,p-1) fit into the k-th row of a magic square grid of order p-1.
%D A072359 W. S. Andrews, Magic Squares and Cubes, pp. 176 Dover NY 1960.
%D A072359 J. Heleen, Journal of Recreational Mathematics, 30(1) 1999-2000 pp. 72-3 Soln. to Prob. 2394. Magic Reciprocals
%D A072359 M. J. Zerger, Journal of Recreational Mathematics, 30(2) 1999-2000 pp. 158-160 Soln. to Prob. 2420. Only 19?
%H A072359 Harvey Heinz, <a href="http://recmath.org/Magic%20Squares/magicsquare.htm#Order-19%20based%20on%201/19">Order-18 based on 1/19</a>
%H A072359 Simon Whitechapel, <a href="https://web.archive.org/web/20080518020634/http://www.gwywyr.com/articles/scimaths/pseudo.html">Reciprocal Arrangements</a> [Internet Archive Wayback Machine]
%H A072359 Wikipedia, <a href="https://en.wikipedia.org/wiki/Prime_reciprocal_magic_square">Prime reciprocal magic square</a>
%Y A072359 Cf. A021023 (1/19), A021387 (1/383), A096339, A096660.
%K A072359 nonn,base
%O A072359 1,1
%A A072359 _Lekraj Beedassy_, Jul 18 2002
%E A072359 More terms from _William Rex Marshall_, Aug 18 2005