A154261 Primes of the form 9*k^2-10*k+3.

3, 2, 19, 107, 499, 1627, 4139, 5827, 6779, 10067, 12619, 16987, 18587, 22003, 23819, 40939, 43403, 59699, 65707, 68819, 89003, 111779, 124139, 132739, 137147, 175003, 190387, 195659, 206419, 223099, 258403, 296299

Offset: 1

Author

Vincenzo Librandi, Jan 06 2009

Keywords

• nonn
• easy

Comments

For all entries p = 9*k^2-10*k+3 in the sequence, 9*p-2 = (9*k-5)^2 is a perfect square.

Links

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

Crossrefs

Cf. A154264 (associated n), A154262.

Programs

Magma

[ a: n in [0..250] | IsPrime(a) where a is 9*n^2-10*n+3]; // Vincenzo Librandi, Jul 16 2012

Mathematica

Select[Table[9n^2-10n+3,{n,0,1500}],PrimeQ] (* Vincenzo Librandi, Jul 16 2012 *)