%I #16 Apr 01 2014 12:26:57

%S 24,96,144,192,288,336,432,480,576,720,768,912,1008,1056,1152,1296,

%T 1440,1488,1632,1728,1776,1920,2016,2160,2352,2448,2496,2592,2640,

%U 2736,3072,3168,3312,3360,3600,3648,3792,3936,4032,4176,4320,4368,4608,4656,4752

%N Number of prime Hurwitz quaternions of norm prime(n).

%C Number of vectors of norm p in D_4 lattice (cf. A004011).

%D L. E. Dickson, Algebras and Their Arithmetics, Dover, 1960, Section 91.

%H T. D. Noe, <a href="/A055669/b055669.txt">Table of n, a(n) for n=1..1000</a>

%H L. E. Dickson, <a href="https://archive.org/details/117770259">Algebras and Their Arithmetics</a>, Univ. of Chicago Press, 1923, Section 91 (page 147).

%F a(n) = 24 * (prime(n)+1) = 24 * A008864(n) for n >= 2.

%t Join[{24},24(#+1)&/@Prime[Range[2,50]]] (* _Harvey P. Dale_, Mar 12 2013 *)

%Y Cf. A055669-A055672.

%Y Cf. A240068 (number of prime Lipschitz quaternions having norm prime(n)).

%K nonn,easy,nice

%O 1,1

%A _N. J. A. Sloane_, Jun 09 2000

%E More terms from _David W. Wilson_, May 02 2001