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 A179175 a(n) = least positive k such that Mordell's equation y^2 = x^3 - k has exactly n integral solutions. 13
 3, 1, 2, 1331, 4, 216, 28, 54872, 116, 343, 828, 250047, 496, 71991296, 207 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The status of further terms is:   15 integral solution: unknown   16 integral solution: 503   17 integral solution: unknown   18 integral solution: 431   19 integral solution: unknown   20 integral solution: 2351   21 integral solution: unknown   22 integral solution: 3807 For least positive k such that equation y^2 = x^3 + k has exactly n integral solutions, see A179162. If n is odd, then a(n) is perfect cube. [Ray Chandler] LINKS J. Gebel, Integer points on Mordell curves [Cached copy, after the original web site tnt.math.se.tmu.ac.jp was shut down in 2017] CROSSREFS Cf. A081120, A081121, A179163-A179175. Sequence in context: A088363 A300839 A143783 * A274635 A146524 A179656 Adjacent sequences:  A179172 A179173 A179174 * A179176 A179177 A179178 KEYWORD nonn AUTHOR Artur Jasinski, Jun 30 2010 EXTENSIONS Edited and a(7), a(11), a(13) added by Ray Chandler, Jul 11 2010 STATUS approved

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Last modified June 17 17:05 EDT 2021. Contains 345085 sequences. (Running on oeis4.)