A154354 List of primes of the form 25n^2-36n+13 with n>=0.

2, 13, 41, 269, 2153, 3181, 4409, 9293, 11321, 21433, 27689, 46829, 51257, 70969, 87853, 100109, 106537, 119993, 141677, 157133, 165161, 256441, 277097, 367721, 430861, 444089, 457517, 650281, 858217, 895673, 914701, 1033069, 1053497, 1137209, 1224121

Offset: 1

Author

Vincenzo Librandi, Jan 07 2009

Keywords

• nonn
• easy

Comments

Primes in A154355.

Examples

			a(6) = 3181 corresponds to n=12, therefore 3181 = (3*12-2)^2+(4*12-3)^2 = 34^2+45^2 (see second comment in A154355). - _Bruno Berselli_, Feb 21 2012
		

Links

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

Crossrefs

Cf. A154355.

Programs

Magma

[a: n in [0..350] | IsPrime(a) where a is 25*n^2-36*n+13]; // Vincenzo Librandi, Jul 16 2012

Mathematica

Select[Table[25*n^2-36*n+13,{n,0,2000}],PrimeQ] (* Vincenzo Librandi, Jul 16 2012 *)

Extensions

Corrected by Don Reble, Jun 16 2010

a(1)-a(2) in b-file corrected by Andrew Howroyd, Feb 22 2018