A033313 - OEIS

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A033313

Smallest integer x satisfying Pell equation x^2-ny^2=1 for nonsquare n.

3, 2, 9, 5, 8, 3, 19, 10, 7, 649, 15, 4, 33, 17, 170, 9, 55, 197, 24, 5, 51, 26, 127, 9801, 11, 1520, 17, 23, 35, 6, 73, 37, 25, 19, 2049, 13, 3482, 199, 161, 24335, 48, 7, 99, 50, 649, 66249, 485, 89, 15, 151, 19603, 530, 31, 1766319049, 63, 8, 129, 65, 48842, 33 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	LINKS	`S. R. Finch, Class number theory` `H. W. Lenstra, jr., Solving the Pell Equation` `F. Richman & R. Mines, Pell's equation` `Derek Smith, Historical Overview of Pell Equations` `Derek Smith, The Search For An Exhaustive Solution to Pell's Equation` `Eric Weisstein's World of Mathematics, Pell Equation` `Charles R Greathouse IV, Table of n, a(n) for n = 1..10000`
	CROSSREFS	`See A033317 (for y's).` `Cf. A000037, A002350.` `Sequence in context: A178230 A064614 A016650 * A140590 A164279 A191539` `Adjacent sequences: A033310 A033311 A033312 * A033314 A033315 A033316`
	KEYWORD	`nonn`
	AUTHOR	`Eric Weisstein (eric(AT)weisstein.com)`
	EXTENSIONS	`Offset switched to 1 - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 21 2009`

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Last modified February 16 04:47 EST 2012. Contains 205860 sequences.