A175159 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

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);

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