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

Author

Natalia Makarova, Jan 29 2013

Keywords

• nonn
• more

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.

Examples

			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.
		

Links

• 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.

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