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

Author

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

Keywords

• nonn
• base

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

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

Crossrefs

Cf. A072359, A096339.

Extensions

Corrected and extended by William Rex Marshall, Aug 18 2005

Corrected by T. D. Noe, Nov 15 2006