id:A081119 - OEIS Search Results

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Number of integral solutions to Mordell's equation y^2 = x^3 + n.

+0
6

5, 2, 2, 2, 2, 0, 0, 7, 10, 2, 0, 4, 0, 0, 4, 2, 16, 2, 2, 0, 0, 2, 0, 8, 2, 2, 1, 4, 0, 2, 2, 0, 2, 0, 2, 8, 6, 2, 0, 2, 2, 0, 2, 4, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 6, 0, 0, 0, 0, 0, 4, 5, 8, 0, 0, 4, 0, 0, 2, 2, 12, 0, 0, 2, 0, 0, 2, 8, 2, 2, 0, 0, 0, 0, 0, 0, 8, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 12 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Mordell's equation has a finite number of integral solutions for all nonzero n. Gebel computes the solutions for n < 10^5. Sequence A054504 gives n for which there are no integral solutions. See A081120 for the number of integral solutions to y^2 = x^3 - n.`
	REFERENCES	`T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, page 191.` `J. Gebel, A. Petho and H. G. Zimmer, On Mordell's equation, Compositio Mathematica 110 (3) (1998), 335-367.`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..10000 (from Gebel)` `J. Gebel, Integer points on Mordell curves` `Eric Weisstein's World of Mathematics, Mordell Curve`
	CROSSREFS	`Cf. A054504, A081119. See A134108 for another version.` `Sequence in context: A021661 A058841 A129165 this_sequence A119320 A070962 A090125` `Adjacent sequences: A081116 A081117 A081118 this_sequence A081120 A081121 A081122`
	KEYWORD	`nice,nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Mar 06 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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