A175238 - OEIS

%I #7 Sep 08 2022 08:45:51

%S 5,7,17,23,53,67,367,373,383,467,487,647,773,823,1087,1103,1187,1327,

%T 1493,1607,1613,1697,1787,2593,2683,2753,2797,2803,2833,2903,3217,

%U 4373,4547,4937,5147,5527,5987,6067,6163,6367,6827,7103,7193,7297,8353,8627

%N Primes p such that (p^2-6) and (p^2-8) are also prime.

%H Vincenzo Librandi, <a href="/A175238/b175238.txt">Table of n, a(n) for n = 1..1000</a>

%e For p=5,(19,17); p=7,(43,41); p=17,(283,281).

%t Select[Prime[Range[1000]], And@@PrimeQ[#^2 + {-6,-8}]&] (* _Vincenzo Librandi_, Apr 10 2013 *)

%o (Magma) [p: p in PrimesUpTo(10000) | IsPrime(p^2-6) and IsPrime(p^2-8)]

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Mar 09 2010