id:A095104 - OEIS Search Results

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

+0
5

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, 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, 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 (list; graph; listen)

	OFFSET	`1,4`
	COMMENT	`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.`
	LINKS	`A. Karttunen and J. Moyer, C-program for computing the initial terms of this sequence`
	CROSSREFS	`a(n)=A095105(n)+1 modulo A002145(n). Cf. A095106, A095108 (same sequence with zeros removed), A095269.` `Sequence in context: A156548 A112883 A117138 this_sequence A021337 A033685 A063691` `Adjacent sequences: A095101 A095102 A095103 this_sequence A095105 A095106 A095107`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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