A110967 Numbers k such that 23*k^2 + 49 is prime.

6, 12, 24, 30, 66, 78, 120, 144, 150, 156, 180, 198, 228, 240, 246, 258, 264, 270, 276, 288, 312, 318, 360, 366, 384, 390, 444, 456, 498, 516, 522, 540, 558, 594, 600, 612, 618, 654, 666, 690, 738, 816, 828, 858, 864, 870, 888, 900, 936, 948, 984, 1002, 1020

Offset

1,1

Links

Table of n, a(n) for n=1..53.

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*156^2 + 49 = 559777 (prime).

Prog

(Magma) [ n: n in [0..1500] | IsPrime( 23*n^2 + 49) ] // Vincenzo Librandi, Jan 31 2011
(PARI) is(n)=isprime(23*n^2+49) \\ Charles R Greathouse IV, Jun 13 2017

Crossrefs

Sequence in context: A260633 A348632 A365470 * A000082 A263849 A227416

Adjacent sequences: A110964 A110965 A110966 * A110968 A110969 A110970

Keyword

nonn,easy

Author

Parthasarathy Nambi, Sep 26 2005

Extensions

Edited by Don Reble, Nov 08 2005

Status

approved