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 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). 3

%I

%S 608537,837080,1062261,1335740,1613011,1834307,2103606,2369995,

%T 2621808,3072665,3592140,3891774,4267302,4412932,4443915,5039601,

%U 5706864,6673106,7402050,8535384,9378963,9989532,10834096,11530350,11987568,13560234,14289963,15119412,15198123

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

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

%e a(1) = 608537 = A180128(4)/8 with the corresponding matrix shown in A180128.

%e a(2) = 837080: determinant (

%e [59 19 23 7]

%e [11 53 37 13]

%e [17 5 43 41]

%e [29 31 3 47]) = 6696640 = 8*837080.

%Y Cf. A118799, A180128, A340923, A340925.

%K nonn

%O 1,1

%A _Hugo Pfoertner_, Jan 26 2021

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Last modified January 19 06:18 EST 2022. Contains 350464 sequences. (Running on oeis4.)