A103565 Primes of the form 3*p^2+2, where p is prime.

29, 149, 509, 8429, 13469, 28229, 154589, 207509, 230189, 340709, 711509, 759029, 897629, 930749, 1127309, 1142069, 1255829, 1399469, 1585589, 2633909, 2724629, 2863589, 3583949, 4892189, 5282789, 6108989, 7517669, 8039309, 8296709, 8906189, 10524389

Offset: 1

Author

Zak Seidov, Mar 23 2005

Keywords

• nonn
• easy
• changed

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Programs

Magma

[a: p in PrimesUpTo(2000)|IsPrime(a) where a is 3*p^2 + 2]; // Vincenzo Librandi, Mar 21 2013

Mathematica

Select[(3#^2+2)&/@Prime[Range[500]],PrimeQ] (* Harvey P. Dale, Nov 04 2011 *)

Formula

a(n) = 2+3*(A103564(n))^2.

Extensions

Corrected by Harvey P. Dale, Nov 04 2011