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Let k = n-th nonsquare = A000037(n); then a(n) = smallest prime p such that the Kronecker-Jacobi symbol K(k,p) = -1.

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3, 2, 2, 7, 5, 3, 7, 2, 5, 2, 3, 13, 3, 5, 2, 3, 2, 5, 3, 7, 3, 2, 5, 2, 11, 7, 3, 5, 7, 2, 2, 3, 11, 7, 3, 5, 2, 3, 2, 11, 3, 5, 3, 2, 5, 2, 7, 7, 3, 5, 5, 2, 13, 2, 3, 5, 3, 7, 2, 3, 2, 13, 3, 5, 5, 3, 2, 7, 2, 5, 11, 3, 5, 2, 11, 2, 3, 5, 5, 3, 7, 2, 3, 2, 7, 3, 7, 5, 3, 2, 2, 5, 5, 3, 11, 11, 2, 5, 2, 3, 7 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Maple calls K(k,p) the Legendre symbol.` `The old entry with this sequence number was a duplicate of A024356.`
	REFERENCES	`H. Cohen, A Course in Computational Number Theory, Springer, 1996 (p. 28 defines the Kronecker-Jacobi symbol).`
	MAPLE	`with(numtheory); f:=proc(n) local M, i, j, k; M:=100000; for i from 1 to M do if legendre(n, ithprime(i)) = -1 then RETURN(ithprime(i)); fi; od; -1; end;`
	CROSSREFS	`Cf. A000037. Records: A067073, A070040. See A144294 for another version.` `Sequence in context: A089327 A091264 A021760 this_sequence A020835 A055674 A141456` `Adjacent sequences: A092416 A092417 A092418 this_sequence A092420 A092421 A092422`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Oct 16 2008, Oct 17 2008. Definition corrected Dec 03 2008.`

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Last modified December 3 22:15 EST 2009. Contains 170310 sequences.

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