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%I #8 Jan 28 2021 04:09:54
%S 445934520,527275650,606375810,668638620,732258072,860414368,
%T 995563032,1132837302,1249798972,1453587865,1598993079,1789976248,
%U 2008319824,2181193410,2363922414,2592209412,2782039915,3035727819,3255326094,3421333460,3453338250,3663999760,4056944944
%N 16*a(n) is the maximum possible determinant of a 5 X 5 matrix whose entries are 25 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.
%C 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.
%e a(2) = 445934520: determinant(
%e [73 53 3 79 23]
%e [37 101 43 5 47]
%e [19 41 89 71 13]
%e [11 31 29 61 97]
%e [83 7 67 17 59]) = 7134952320 = 16*445934520.
%Y Cf. A118815, A180128, A340923, A340924.
%K nonn
%O 2,1
%A _Hugo Pfoertner_, Jan 26 2021
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