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).

-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

Author

J. M. Bergot and Robert Israel, Jan 26 2021

Keywords

• sign

Comments

All entries are divisible by 2^14.

Examples

			For n=3, a(3) = det(257, 131, 101, 103; 137, 107, 173, 239; 241, 179, 181, 311; 313, 283, 157, 191) = 268615680.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A335582, A335591.

Programs

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;