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.

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

1,1

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..33.

H. Heinz Order 18 based on 1/19

Simon Whitechapel Reciprocal Arrangements [Internet Archive Wayback Machine]

Crossrefs

Cf. A072359, A096339.

Sequence in context: A118818 A142437 A142773 * A345198 A094459 A108819

Adjacent sequences: A096657 A096658 A096659 * A096661 A096662 A096663

Keyword

nonn,base

Author

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

Extensions

Corrected and extended by William Rex Marshall, Aug 18 2005

Corrected by T. D. Noe, Nov 15 2006

Status

approved