A145478 - OEIS

A145478

Primes p such that (29 + p)/2 is prime.

5, 17, 29, 53, 89, 113, 137, 149, 173, 197, 233, 269, 317, 353, 449, 509, 557, 593, 677, 773, 809, 857, 929, 953, 977, 1013, 1097, 1109, 1277, 1289, 1373, 1409, 1493, 1613, 1697, 1733, 1877, 1913, 1997, 2069, 2153, 2273, 2297, 2333, 2357, 2417, 2549, 2609

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

OFFSET

1,1

COMMENTS

All these primes are congruent to 5 mod 12.

LINKS

Ivan Neretin, Table of n, a(n) for n = 1..10000

MATHEMATICA

aa = {}; k = 29; Do[If[PrimeQ[(k + Prime[n])/2], AppendTo[aa, Prime[n]]], {n, 1, 500}]; aa

PROG

(PARI) first(n)=my(t=1, p, i=1); while(i<n, p=prime(i); i=i+1; if(p>2&&isprime((29+p)/2), print1(p, ", "))) \\ Anders Hellström, Jan 22 2017

CROSSREFS