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

1,1

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]

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

Table of n, a(n) for n=1..25.

Harvey Heinz, Prime Magic Squares

Index entries for sequences related to magic squares

Example

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 ]

Prog

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

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).

Sequence in context: A286792 A337917 A115183 * A273552 A341181 A073026

Adjacent sequences: A073519 A073520 A073521 * A073523 A073524 A073525

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Aug 29 2002

Extensions

Edited by Max Alekseyev, Sep 24 2009

Status

approved