A165944 Primes of the form p^2 +3p + 1, where p is also a prime.

11, 19, 41, 71, 419, 599, 929, 1481, 1979, 2351, 2969, 3659, 4691, 13109, 19181, 19739, 25121, 27059, 30449, 32579, 53129, 57839, 66821, 69959, 86729, 98909, 122849, 125669, 129959, 140249, 144779, 176819, 202949, 219491, 250499, 254519

Offset: 1

Author

Claudio Meller, Oct 01 2009

Keywords

• nonn
• easy

Comments

Primes of the form p +(p+1)^2 = A000040(k) + A110833(k).

Links

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

Programs

Magma

[a: p in PrimesInInterval(1, 1000) | IsPrime(a) where a is (p^2 + 3*p + 1)]; // Vincenzo Librandi, Jun 13 2014

Mathematica

Select[Table[p^2 + 3 p + 1, {p, Prime[Range[300]]}], PrimeQ] (* Vincenzo Librandi, Jun 13 2014 *)

Extensions

Entries checked - R. J. Mathar, Oct 05 2009