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A340923
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4*a(n) is the maximum possible determinant of a 3 X 3 matrix whose entries are 9 consecutive primes starting with prime(n).
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4
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1660, 2693, 3894, 5712, 7030, 9155, 10369, 11718, 14480, 16185, 18774, 20070, 22920, 24720, 23895, 26800, 31560, 39117, 43080, 43245, 42132, 38406, 41056, 48204, 66144, 69006, 86556, 98499, 99021, 88999, 77640, 87348, 86745, 89832, 92466, 95277, 98454, 84820
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OFFSET
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1,1
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COMMENTS
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The entries of the matrix are arranged in such a way that the determinant of the matrix is maximized.
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LINKS
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EXAMPLE
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a(1) = 1660 = A180128(3)/4 with the corresponding matrix shown in A180128.
a(2) = 2693: determinant (
[13 29 7]
[ 3 11 23]
[19 5 17]) = 10772 = 4*2693.
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MATHEMATICA
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Table[Max[Det[Partition[#, 3]]&/@Permutations[Prime[Range[n, n+8]]]], {n, 40}]/4 (* Harvey P. Dale, Jul 21 2021 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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