A179162 a(n) = least positive k such that Mordell's equation y^2 = x^3 + k has exactly n integral solutions.

6, 27, 2, 343, 12, 1, 37, 8, 24, 512, 9, 35611289, 73, 10218313, 315, 129554216, 17, 274625, 297, 17576000, 2817, 200201625, 1737

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, A179145-A179162.

Sequence in context: A230867 A137088 A356813 * 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