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A340925 16*a(n) is the maximum possible determinant of a 5 X 5 matrix whose entries are 25 consecutive primes starting with prime(n). 3
445934520, 527275650, 606375810, 668638620, 732258072, 860414368, 995563032, 1132837302, 1249798972, 1453587865, 1598993079, 1789976248, 2008319824, 2181193410, 2363922414, 2592209412, 2782039915, 3035727819, 3255326094, 3421333460, 3453338250, 3663999760, 4056944944 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

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

The special case of the first matrix with determinant A180128(5) = 5725998504 is excluded, since the prime number 2 prevents the otherwise existing divisibility of the determinant by 16.

LINKS

Table of n, a(n) for n=2..24.

EXAMPLE

a(2) = 445934520: determinant(

  [73  53  3 79 23]

  [37 101 43  5 47]

  [19  41 89 71 13]

  [11  31 29 61 97]

  [83   7 67 17 59]) = 7134952320 = 16*445934520.

CROSSREFS

Cf. A118815, A180128, A340923, A340924.

Sequence in context: A209210 A047989 A342857 * A280001 A096556 A038830

Adjacent sequences:  A340922 A340923 A340924 * A340926 A340927 A340928

KEYWORD

nonn

AUTHOR

Hugo Pfoertner, Jan 26 2021

STATUS

approved

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Last modified January 22 01:28 EST 2022. Contains 350481 sequences. (Running on oeis4.)