A154577 Primes of the form 2n^2+14n+5.

5, 41, 293, 401, 461, 593, 821, 1181, 1493, 1721, 3593, 4493, 5081, 7793, 12941, 16001, 16361, 17093, 21821, 28541, 29021, 31481, 33521, 36161, 39461, 45281, 48341, 54101, 56093, 65141, 66593, 74093, 75641, 76421, 83621, 92861, 98993, 101681

Offset: 1

Author

Vincenzo Librandi, Jan 12 2009

Keywords

• nonn
• easy

Comments

Primes in A154576. [Omar E. Pol, Aug 05 2009]

Subsequence of A007528, A040117. [Bruno Berselli, Jun 18 2014]

2*a(n) + 39 is a square. - Vincenzo Librandi, Apr 10 2015

Links

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

Crossrefs

Cf. A007528, A040117, A154576.

Programs

Magma

[a: n in [0..300] | IsPrime(a) where a is 2*n^2+14*n+5]; // Vincenzo Librandi, Jul 23 2012

Mathematica

Select[Table[2n^2+14n+5,{n,0,15001}],PrimeQ] (* Vincenzo Librandi, Jul 23 2012 *)

PARI

for (n=0, 300, if (isprime (k=2*n^2+14*n+5), print1 (k, ",  "))); \\ Vincenzo Librandi, Jul 23 2012

Extensions

a(30)=66593 inserted, definition corrected and edited by Omar E. Pol, Aug 05 2009, Aug 06 2009

Added the first term 5 by Vincenzo Librandi, Jul 23 2012