A096339 -id:A096339 - cp's OEIS frontend

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

Lekraj Beedassy, Jul 18 2002

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?

Harvey Heinz, Order-18 based on 1/19
Simon Whitechapel, Reciprocal Arrangements [Internet Archive Wayback Machine]
Wikipedia, Prime reciprocal magic square

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

More terms from William Rex Marshall, Aug 18 2005

A096660 Primes p such that the p-1 digits of the ternary (base 3) 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.

Original entry on oeis.org

223, 593, 811, 6113, 15319, 22123, 22409, 22817, 24859, 32801, 40013, 43853, 47599, 48259, 51329, 56383, 64553, 64579, 77813, 96401, 109169, 109937, 135607, 191899, 229507, 254623, 281609, 379157, 496963, 526963, 530753, 700781, 1090373

Offset: 1

Simon Whitechapel (aladgyma(AT)yahoo.com), Jul 02 2004

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?

H. Heinz Order 18 based on 1/19
Simon Whitechapel Reciprocal Arrangements [Internet Archive Wayback Machine]

Cf. A072359, A096339.

Corrected and extended by William Rex Marshall, Aug 18 2005

Corrected by T. D. Noe, Nov 15 2006

cp's OEIS Frontend

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.

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