A175233 Numbers n with property that n and 4*n^2 + 163 are terms in A057605.

2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 14, 16, 19, 24, 27, 28, 29, 33, 39, 45, 49, 58, 64, 69, 74, 80, 81, 82, 89, 97, 104, 110, 113, 114, 121, 127, 128, 132, 141, 150, 154, 160, 165, 169, 171, 180, 193, 197, 208, 212, 217, 220, 222, 227, 232, 233, 244, 253, 264, 269, 275

Offset: 1

Author

Zak Seidov, Mar 09 2010

Keywords

• nonn

Comments

Numbers n with property that both m=4*n^2 + 163 and p=4*m^2 + 163 are primes.

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Intersection of A057604 and A057605.

Programs

Mathematica

mpQ[n_]:=Module[{m=4n^2+163},And@@PrimeQ[{m,4m^2+163}]]; Select[Range[300], mpQ] (* Harvey P. Dale, Jul 15 2013 *)

Formula

n = 2: m = 4*n^2 + 163 = 179 and p = 4*m^2 + 163 = 128327 are primes.

Extensions

Edited by Zak Seidov, Mar 17 2010