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.

19, 383, 32327, 34061, 45341, 61967, 65699, 117541, 158771, 405817, 444287, 456503, 695389, 724781, 1102567, 1177859, 1498139, 2336989, 2695337, 3036857, 3249419, 3512749, 3571429, 4427299, 5141051, 7033823, 8324411, 9932179

Offset

1,1

References

W. S. Andrews, Magic Squares and Cubes, pp. 176 Dover NY 1960.

J. Heleen, Journal of Recreational Mathematics, 30(1) 1999-2000 pp. 72-3 Soln. to Prob. 2394. Magic Reciprocals

M. J. Zerger, Journal of Recreational Mathematics, 30(2) 1999-2000 pp. 158-160 Soln. to Prob. 2420. Only 19?

Links

Table of n, a(n) for n=1..28.

Harvey Heinz, Order-18 based on 1/19

Simon Whitechapel, Reciprocal Arrangements [Internet Archive Wayback Machine]

Wikipedia, Prime reciprocal magic square

Crossrefs

Cf. A021023 (1/19), A021387 (1/383), A096339, A096660.

Sequence in context: A075839 A380641 A158592 * A222835 A094737 A009075

Adjacent sequences: A072356 A072357 A072358 * A072360 A072361 A072362

Keyword

nonn,base

Author

Lekraj Beedassy, Jul 18 2002

Extensions

More terms from William Rex Marshall, Aug 18 2005

Status

approved