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A340923 4*a(n) is the maximum possible determinant of a 3 X 3 matrix whose entries are 9 consecutive primes starting with prime(n). 4
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The entries of the matrix are arranged in such a way that the determinant of the matrix is maximized.

LINKS

Table of n, a(n) for n=1..38.

EXAMPLE

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.

MATHEMATICA

Table[Max[Det[Partition[#, 3]]&/@Permutations[Prime[Range[n, n+8]]]], {n, 40}]/4 (* Harvey P. Dale, Jul 21 2021 *)

CROSSREFS

Cf. A117330, A180128, A340924, A340925.

Sequence in context: A054809 A236042 A163273 * A104019 A054810 A251888

Adjacent sequences:  A340920 A340921 A340922 * A340924 A340925 A340926

KEYWORD

nonn

AUTHOR

Hugo Pfoertner, Jan 26 2021

STATUS

approved

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Last modified January 20 16:27 EST 2022. Contains 350472 sequences. (Running on oeis4.)