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A110964 Numbers k such that 23*k^2 + 16 is prime. 0
3, 9, 21, 45, 63, 69, 81, 93, 123, 135, 141, 153, 165, 201, 219, 231, 243, 267, 273, 279, 309, 327, 381, 471, 477, 513, 525, 531, 543, 555, 561, 579, 585, 591, 603, 621, 645, 657, 669, 687, 693, 717, 723, 741, 759, 765, 801, 825, 861, 873, 879, 903, 915, 933 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..54.

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*135^2 + 16 = 419191 (prime).

PROG

(MAGMA) [ n: n in [0..1500] | IsPrime( 23*n^2 + 16) ] // Vincenzo Librandi, Jan 31 2011

(PARI) is(n)=isprime(23*n^2+16) \\ Charles R Greathouse IV, Jun 13 2017

CROSSREFS

Sequence in context: A175006 A084569 A192970 * A107351 A068156 A166452

Adjacent sequences:  A110961 A110962 A110963 * A110965 A110966 A110967

KEYWORD

nonn,easy

AUTHOR

Parthasarathy Nambi, Sep 26 2005

EXTENSIONS

Edited by Don Reble, Nov 08 2005

STATUS

approved

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Last modified June 22 20:16 EDT 2021. Contains 345388 sequences. (Running on oeis4.)