A154601 Primes of the form 2*n^2 + 22*n + 9.

61, 313, 709, 1249, 1933, 3229, 3733, 4273, 6793, 8269, 10753, 12589, 16693, 20149, 23929, 25261, 29473, 30949, 35593, 44053, 45853, 79549, 89413, 91969, 94561, 108061, 116593, 128473, 140929, 150649, 164113, 189061, 200293, 240073, 248461

Offset: 1

Author

Vincenzo Librandi, Jan 12 2009

Keywords

• nonn
• easy

Comments

2*a(n) + 103 is a square. - Vincenzo Librandi, Apr 10 2015

Links

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

Crossrefs

Cf. A154600.

Programs

Magma

[a: n in [0..400] | IsPrime(a) where a is 2*n^2+22*n+9]; // Vincenzo Librandi, Jul 23 2012

Mathematica

Select[Table[2n^2+22n+9,{n,0,300}],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