A095104 - OEIS

%I #6 Mar 31 2012 14:02:22

%S 0,0,0,3,0,0,3,0,0,3,0,0,0,0,7,7,0,3,0,3,0,11,0,0,3,13,61,0,0,0,0,3,3,

%T 0,3,7,0,45,3,0,0,0,0,7,7,35,0,7,35,3,0,3,3,0,3,15,0,0,3,15,3,0,0,7,3,

%U 0,45,3,0,0,3,3,7,7,0,3,0,3,0,3,0,0,7,7,0,0,0,67,0,0,3,0

%N Diving index of the n-th 4k+3 prime (A002145(n)).

%C Diving index of an odd number n is the first integer u > 1 where Sum_{i=1..u} J(i/n) results -1 and zero if never. Here J(i/n) is Jacobi symbol of i and n, which reduces to a Legendre symbol L(i/n) when n is a prime.

%H A. Karttunen and J. Moyer, <a href="/A095062/a095062.c.txt">C-program for computing the initial terms of this sequence</a>

%Y a(n)=A095105(n)+1 modulo A002145(n). Cf. A095106, A095108 (same sequence with zeros removed), A095269.

%K nonn

%O 1,4

%A _Antti Karttunen_, Jun 01 2004