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A335581
a(n) is the determinant of the 4 X 4 matrix whose k-th entry (when read by rows) is the n-th prime that is congruent to 2*k-1 (mod 32).
5
-9076736, 103022592, 268615680, 1323499520, 629882880, 460603392, -399949824, -3920560128, 1911881728, -10804379648, 40168226816, 39260946432, 12450906112, 43444027392, 38643318784, 36209459200, 46906195968, 176683548672, 194023292928, 385306836992, 347375714304, 132172283904, -2076180480
OFFSET
1,1
All entries are divisible by 2^14.
EXAMPLE
For n=3, a(3) = det(257, 131, 101, 103; 137, 107, 173, 239; 241, 179, 181, 311; 313, 283, 157, 191) = 268615680.
MAPLE
N:= 100: # for a(1)..a(N)
R:= NULL:
L:= [seq(2*i-33, i=1..16)]:
for k from 1 to N do
for i from 1 to 16 do
for x from L[i]+32 by 32 do until isprime(x);
L[i]:= x;
od;
R:= R, LinearAlgebra:-Determinant(Matrix(4, 4, L));
od;
R;
CROSSREFS
Sequence in context: A106787 A105012 A186139 * A015350 A233613 A172620
KEYWORD
sign
AUTHOR
J. M. Bergot and Robert Israel, Jan 26 2021
STATUS
approved

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Last modified September 20 20:29 EDT 2024. Contains 376078 sequences. (Running on oeis4.)