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A260673 Smallest primes of 4 X 4 magic squares formed from consecutive primes.

%I A260673 #39 Feb 16 2025 08:33:26
%S A260673 31,37,1229,4931,12553,3259909,3324329,9291521,24066643,26025107,
%T A260673 46330021,95979511,99268649,116923057,170995151,204041417,213084871,
%U A260673 218568971,229981399,232850557,254042641,255432869,256714219,300222341,375303157,383432249,421514827
%N A260673 Smallest primes of 4 X 4 magic squares formed from consecutive primes.
%D A260673 Allan W. Johnson, Jr., Consecutive-Prime Magic Squares, Journal of Recreational Mathematics, vol. 15, 1982-83, pp. 17-18.
%H A260673 Zhao Hui Du, <a href="/A260673/b260673.txt">Table of n, a(n) for n = 1..1000</a>
%H A260673 Harvey D. Heinz, <a href="http://www.magic-squares.net/primesqr.htm#Minimum consecutive primes -4">Prime Numbers Magic Squares: Minimum consecutive primes - 4</a>, 1999-2010.
%H A260673 Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_003.htm">Puzzle 3. Magic Squares with consecutive primes</a>, The Prime Puzzles & Problems Connection.
%H A260673 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimeMagicSquare.html">Prime Magic Square</a>
%H A260673 <a href="/index/Mag#magic">Index entries for sequences related to magic squares</a>
%e A260673         n = 3
%e A260673 |----|----|----|----|
%e A260673 |1229|1249|1321|1319|
%e A260673 |----|----|----|----|
%e A260673 |1301|1303|1231|1283|
%e A260673 |----|----|----|----|
%e A260673 |1297|1277|1307|1237|
%e A260673 |----|----|----|----|
%e A260673 |1291|1289|1259|1279|
%e A260673 |----|----|----|----|
%e A260673 .
%e A260673         n = 4
%e A260673 |----|----|----|----|
%e A260673 |4943|4933|5011|5009|
%e A260673 |----|----|----|----|
%e A260673 |4999|4973|4967|4957|
%e A260673 |----|----|----|----|
%e A260673 |5003|4969|4987|4937|
%e A260673 |----|----|----|----|
%e A260673 |4951|5021|4931|4993|
%e A260673 |----|----|----|----|
%o A260673 (PARI) A260673(n)=MagicPrimes(A173981(n),4)[1] \\ See A073519 for MagicPrimes(). - _M. F. Hasler_, Oct 28 2018
%Y A260673 Cf. A073521, A173981, A256891, A270864, A272386 (analog for n=5), A176571 (magic sums for n=5), A272387. Subsequence of A270865.
%K A260673 nonn
%O A260673 1,1
%A A260673 _Arkadiusz Wesolowski_, Nov 14 2015
%E A260673 Extended by _Arkadiusz Wesolowski_, Dec 13 2015