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).

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

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