A175159 Primes p such that 2*p+3, 4*p+9 and 16*p+45 are also prime.

7, 43, 47, 67, 97, 137, 307, 397, 467, 1063, 1153, 1373, 1427, 1453, 1523, 1567, 2647, 2857, 2927, 3613, 3767, 4513, 6047, 6997, 7433, 7477, 8093, 8237, 8363, 8693, 8803, 8863, 9133, 9377, 11093, 11173, 11437, 11593, 12037, 12097, 12163, 12437, 12703

Offset

1,1

Links

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

Example

For p=7 (17,37,157); p=43, (89,181,733);

Maple

q:= p-> andmap(isprime, [p, 2*p+3, 4*p+9, 16*p+45]):
select(q, [$2..13000])[];  # Alois P. Heinz, Aug 04 2025

Mathematica

okQ[n_]:=And@@PrimeQ[{2n+3, 4n+9, 16n+45}]; Select[Prime[Range[1600]], okQ] (* Harvey P. Dale, Oct 14 2012 *)

Prog

(Magma) [ p: p in PrimesUpTo(50000) | IsPrime(p) and IsPrime(2*p+3) and IsPrime(4*p+9) and IsPrime(16*p+45)];

Crossrefs

Sequence in context: A202862 A229437 A043064 * A173828 A376506 A376541

Adjacent sequences: A175156 A175157 A175158 * A175160 A175161 A175162

Keyword

nonn

Author

Vincenzo Librandi, Mar 08 2010

Status

approved