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

%I A073522 #15 Oct 30 2018 20:15:33
%S A073522 269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,
%T A073522 373,379,383,389,397,401,409,419
%N A073522 A set of 25 consecutive primes that form a 5 X 5 magic square with the (non-minimal) magic constant 1703.
%C A073522 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]
%D A073522 Allan W. Johnson, Jr., Journal of Recreational Mathematics, vol. 14:2, 1981-82, pp. 152-153.
%D A073522 Clifford A. Pickover, The Zen of Magic Squares, Circles and Stars: An Exhibition of Surprising Structures across Dimensions, Princeton University Press, 2002.
%H A073522 Harvey Heinz, <a href="http://www.magic-squares.net/primesqr.htm">Prime Magic Squares</a>
%H A073522 <a href="/index/Mag#magic">Index entries for sequences related to magic squares</a>
%e A073522 The magic square is
%e A073522 [ 281 409 311 419 283 ]
%e A073522 [ 359 379 349 347 269 ]
%e A073522 [ 313 307 389 293 401 ]
%e A073522 [ 397 331 337 271 367 ]
%e A073522 [ 353 277 317 373 383 ]
%o A073522 (PARI) A073522=MagicPrimes(1703,5) \\ Cf. A073519. - _M. F. Hasler_, Oct 28 2018
%Y A073522 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).
%K A073522 nonn,fini,full
%O A073522 1,1
%A A073522 _N. J. A. Sloane_, Aug 29 2002
%E A073522 Edited by _Max Alekseyev_, Sep 24 2009