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

1,1

Comments

Primes in A154355.

Links

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

Example

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

Mathematica

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

Prog

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

Crossrefs

Cf. A154355.

Sequence in context: A263980 A157185 A219054 * A138089 A296197 A026594

Adjacent sequences: A154351 A154352 A154353 * A154355 A154356 A154357

Keyword

nonn,easy

Author

Vincenzo Librandi, Jan 07 2009

Extensions

Corrected by Don Reble, Jun 16 2010

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

Status

approved