A210710 Minimal index of a Stanley antimagic square of order n consisting of distinct primes.

2, 16, 53, 150, 395, 774, 1597, 3036, 5837, 10080, 18191

Offset

1,1

Comments

Stanley antimagic square of index d and order n is an n X n matrix where the sum of any n matrix elements in pairwise distinct rows and pairwise distinct columns equals d.

Links

Table of n, a(n) for n=1..11.

dxdy Forum, Discussion at forum dxdy.ru (in Russian)

Carlos Rivera, Puzzle 681 Stanley Antimagic Squares, The Prime Puzzles and Problems Connection.

Richard P. Stanley, Enumerative Combinatorics, Vol. I, Exercises for Chapter 4, Exercise 53, p. 618.

Example

For n=3 and d=53, we have the following square consisting of the primes:
   3 11 17
   5 13 19
  23 31 37
Here 3+13+37 = 3+19+31 = 11+19+23 = 11+5+37 = 17+13+23 = 17+5+31 = 53.

Crossrefs

Sequence in context: A006885 A220139 A027273 * A337529 A225051 A033431

Adjacent sequences: A210707 A210708 A210709 * A210711 A210712 A210713

Keyword

nonn,more

Author

Natalia Makarova, Jan 29 2013

Extensions

Edited by Max Alekseyev, Feb 07 2013

Offset changed to 1 by Jens Kruse Andersen, Mar 30 2013

a(7) to a(10) from Jens Kruse Andersen, Mar 30 2013

a(11) from Jens Kruse Andersen, added by Max Alekseyev, May 05 2013

Status

approved