Voozh

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

(list; graph; refs; listen; history; text; internal format)

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