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

1,1

Links

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

Formula

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

Mathematica

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

Prog

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

Crossrefs

Sequence in context: A263126 A221981 A139997 * A098117 A101096 A142827

Adjacent sequences: A103562 A103563 A103564 * A103566 A103567 A103568

Keyword

nonn,easy

Author

Zak Seidov, Mar 23 2005

Extensions

Corrected by Harvey P. Dale, Nov 04 2011

Status

approved