A340924 8*a(n) is the maximum possible determinant of a 4 X 4 matrix whose entries are 16 consecutive primes starting with prime(n).

608537, 837080, 1062261, 1335740, 1613011, 1834307, 2103606, 2369995, 2621808, 3072665, 3592140, 3891774, 4267302, 4412932, 4443915, 5039601, 5706864, 6673106, 7402050, 8535384, 9378963, 9989532, 10834096, 11530350, 11987568, 13560234, 14289963, 15119412, 15198123

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..29.

Example

a(1) = 608537 = A180128(4)/8 with the corresponding matrix shown in A180128.
a(2) = 837080: determinant (
  [59 19 23  7]
  [11 53 37 13]
  [17  5 43 41]
  [29 31  3 47]) = 6696640 = 8*837080.

Crossrefs

Cf. A118799, A180128, A340923, A340925.

Sequence in context: A184561 A321705 A351721 * A218107 A274173 A206175

Adjacent sequences: A340921 A340922 A340923 * A340925 A340926 A340927

Keyword

nonn

Author

Hugo Pfoertner, Jan 26 2021

Status

approved