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A335581 a(n) is the determinant of the 4 X 4 matrix whose k-th entry (listed 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All entries are divisible by 2^14.

LINKS

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

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

Cf. A335582, A335591.

Sequence in context: A106787 A105012 A186139 * A015350 A233613 A172620

Adjacent sequences:  A335578 A335579 A335580 * A335582 A335583 A335584

KEYWORD

sign

AUTHOR

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

STATUS

approved

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Last modified October 19 15:34 EDT 2021. Contains 348091 sequences. (Running on oeis4.)