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A024351 Primes forming a 3 X 3 magic square with prime entries and minimal constant 177 = A164843(3). 8

%I #25 Nov 04 2018 14:46:20

%S 5,17,29,47,59,71,89,101,113

%N Primes forming a 3 X 3 magic square with prime entries and minimal constant 177 = A164843(3).

%C The minimal 3 X 3 magic square made of consecutive primes has constant 4440084513 = A073520(3) = A270305(1), cf. A073519. - _M. F. Hasler_, Oct 22 2018

%C Sequence A073473 gives a variant using "primes including 1" (for historical reasons), to which also refers A073502. - _M. F. Hasler_, Oct 24 2018

%H Harvey Heinz, <a href="http://www.magic-squares.net/primesqr.htm">Prime Magic Squares</a>

%H <a href="/index/Mag#magic">Index entries for sequences related to magic squares</a>

%e The square is [101 5 71 ; 29 59 89 ; 47 113 17].

%e The lexicographically smallest equivalent variant (modulo reflections on the symmetry axes of the square) is [17 89 71 ; 113 59 5 ; 47 29 101], cf. A320872. - _M. F. Hasler_, Oct 24 2018

%o (PARI) A024351=select(p->setsearch(P,118-p),P=primes(30)[^5]) \\ 118 = 2*59, where 59 is the central prime; primes(30) = primes < 118. For the magic square itself, use A320872_row(1). - _M. F. Hasler_, Oct 25 2018

%Y Cf. A073350, A073520, A270305, A164843.

%Y Cf. A073473, A073502.

%Y Cf. A320872 (3 X 3 magic squares of primes), A268790 (magic sums of these).

%K fini,full,nonn

%O 1,1

%A Karl Schmerbauch (karl.j.schmerbauch(AT)boeing.com)

%E Offset corrected by _Arkadiusz Wesolowski_, Nov 26 2011

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Last modified April 18 20:26 EDT 2024. Contains 371781 sequences. (Running on oeis4.)