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 A179162 a(n) = least positive k such that Mordell's equation y^2 = x^3 + k has exactly n integral solutions. 18
 6, 27, 2, 343, 12, 1, 37, 8, 24, 512, 9, 35611289, 73, 10218313, 315, 129554216, 17, 274625, 297, 17576000, 2817, 200201625, 1737 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Additional known terms: a(24)=4481, a(26)=225, a(28)=2089, a(32)=1025. For least positive k such that equation y^2 = x^3 - k has exactly n integral solutions, see A179175. 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. A054504, A081119, A179145-A179162. Sequence in context: A199591 A230867 A137088 * A285806 A292384 A183603 Adjacent sequences:  A179159 A179160 A179161 * A179163 A179164 A179165 KEYWORD more,nonn AUTHOR Artur Jasinski, Jun 30 2010 EXTENSIONS Edited and a(11), a(13), a(15), a(17), a(19), a(21) added by Ray Chandler, Jul 11 2010 STATUS approved

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Last modified May 19 17:48 EDT 2019. Contains 323395 sequences. (Running on oeis4.)