A337145 -id:A337145 - cp's OEIS frontend

A337146 Numbers k such that abs(A337145(k))/8 is prime.

1, 13, 41, 50, 53, 62, 67, 76, 89, 98, 108, 113, 137, 180, 211, 225, 236, 240, 250, 281, 293, 300, 303, 308, 355, 362, 384, 392, 393, 400, 414, 425, 434, 458, 468, 477, 489, 525, 588, 589, 593, 625, 653, 662, 664, 671, 673, 674, 696, 698, 732, 758, 765, 795, 800, 819, 831, 851, 880, 916, 933, 938

Offset: 1

J. M. Bergot and Robert Israel, Jan 27 2021

nonn

			a(3) = 41 is a term because A337145(41) = det(1097, 883; 877, 967) = 286408 = 8*35801 and 35801 is prime.

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

Cf. A335593, A337145, A337147.

R:= NULL:
count:= 0:
L:= [-7, -5, -3, -1]:
for k from 1 while count < 100 do
  for i from 1 to 4 do
   for x from L[i]+8 by 8 do until isprime(x);
   L[i]:= x;
  od;
  v:= abs(L[1]*L[4]-L[2]*L[3])/8;
  if isprime(v) then count:= count+1; R:= R, k; fi
od:
R;

A337147 Primes abs(A337145(k))/8 for k in A337146.

Original entry on oeis.org

13, 3529, 35801, 38447, 36299, 29399, 30757, 29389, 109211, 101141, 82037, 119737, 203227, 203381, 237143, 439753, 197677, 329533, 391337, 611449, 697757, 1082233, 840347, 1054213, 1154893, 1044343, 1249139, 962587, 990287, 1012861, 1051181, 1060051, 753847, 1182737, 889237, 605333, 769997

Offset: 1

J. M. Bergot and Robert Israel, Jan 27 2021

nonn

			A337146(3) = 41 with A337145(41) = det(1097, 883; 877, 967) = 286408 = 8*35801 so a(3) = 35801.

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

Cf. A336738, A337145, A337146.

R:= NULL:
count:= 0:
L:= [-7, -5, -3, -1]:
for k from 1 while count < 100 do
  for i from 1 to 4 do
   for x from L[i]+8 by 8 do until isprime(x);
   L[i]:= x;
  od;
  v:= abs(L[1]*L[4]-L[2]*L[3])/8;
  if isprime(v) then count:= count+1; R:= R, v; fi
od:
R;

cp's OEIS Frontend

A337146 Numbers k such that abs(A337145(k))/8 is prime.

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