

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
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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

Table of n, a(n) for n=0..22.
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, A179145A179162.
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



