A073522 A set of 25 consecutive primes that form a 5 X 5 magic square with the (non-minimal) magic constant 1703.

269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419

Offset: 1

Author

N. J. A. Sloane, Aug 29 2002

Keywords

• nonn
• fini
• full

Comments

The magic constant here is not the smallest possible for a 5 X 5 magic square composed of consecutive primes, this would be A073520(5) = 313 corresponding to primes (13, 17, ..., 113). [Edited by M. F. Hasler, Oct 29 2018]

Examples

			The magic square is
[ 281 409 311 419 283 ]
[ 359 379 349 347 269 ]
[ 313 307 389 293 401 ]
[ 397 331 337 271 367 ]
[ 353 277 317 373 383 ]
		

References

• Allan W. Johnson, Jr., Journal of Recreational Mathematics, vol. 14:2, 1981-82, pp. 152-153.
• Clifford A. Pickover, The Zen of Magic Squares, Circles and Stars: An Exhibition of Surprising Structures across Dimensions, Princeton University Press, 2002.

Links

• Harvey Heinz, Prime Magic Squares
• Index entries for sequences related to magic squares

Crossrefs

Cf. A073519 and A320873 (minimal 3 X 3 magic square of consecutive primes), A073520 (minimal magic sum for n X n square of consecutive primes), A073521 (consecutive primes of a 4 X 4 magic square), A073523 (consecutive primes of a pandiagonal 6 X 6 magic square).

Programs

PARI

A073522=MagicPrimes(1703,5) \\ Cf. A073519. - M. F. Hasler, Oct 28 2018

Extensions

Edited by Max Alekseyev, Sep 24 2009