A110966 Numbers k such that 23*k^2 + 36 is prime.

1, 7, 11, 13, 23, 25, 29, 35, 41, 49, 61, 71, 77, 101, 103, 113, 115, 131, 133, 145, 155, 157, 169, 173, 197, 217, 221, 223, 241, 245, 257, 259, 275, 283, 295, 301, 305, 313, 325, 331, 335, 337, 347, 349, 361, 367, 373, 389, 397, 403, 407, 409, 419, 433, 439

Offset

1,2

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Emre Alkan, Alexandru Zaharescu, Nonvanishing of the Ramanujan tau function in short intervals, International Journal of Number Theory, Vol. 1, No. 1 (2005) 45-51.

Example

23*101^2 + 36 = 234659 (prime).

Mathematica

Select[Range[1, 501, 2], PrimeQ[23#^2+36]&] (* Harvey P. Dale, Sep 01 2024 *)

Prog

(Magma) [ n: n in [0..1500] | IsPrime( 23*n^2 + 36) ]; // Vincenzo Librandi, Jan 31 2011
(PARI) is(n)=isprime(23*n^2+36) \\ Charles R Greathouse IV, Jun 13 2017

Crossrefs

Sequence in context: A081091 A027901 A129213 * A163388 A297176 A155760

Adjacent sequences: A110963 A110964 A110965 * A110967 A110968 A110969

Keyword

nonn,easy

Author

Parthasarathy Nambi, Sep 26 2005

Extensions

Edited by Don Reble, Nov 08 2005

Status

approved