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%I #13 Jul 21 2021 13:32:12
%S 1660,2693,3894,5712,7030,9155,10369,11718,14480,16185,18774,20070,
%T 22920,24720,23895,26800,31560,39117,43080,43245,42132,38406,41056,
%U 48204,66144,69006,86556,98499,99021,88999,77640,87348,86745,89832,92466,95277,98454,84820
%N 4*a(n) is the maximum possible determinant of a 3 X 3 matrix whose entries are 9 consecutive primes starting with prime(n).
%C The entries of the matrix are arranged in such a way that the determinant of the matrix is maximized.
%e a(1) = 1660 = A180128(3)/4 with the corresponding matrix shown in A180128.
%e a(2) = 2693: determinant (
%e [13 29 7]
%e [ 3 11 23]
%e [19 5 17]) = 10772 = 4*2693.
%t Table[Max[Det[Partition[#,3]]&/@Permutations[Prime[Range[n,n+8]]]],{n,40}]/4 (* _Harvey P. Dale_, Jul 21 2021 *)
%Y Cf. A117330, A180128, A340924, A340925.
%K nonn
%O 1,1
%A _Hugo Pfoertner_, Jan 26 2021
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