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URL: https://oeis.org/A179162

⇱ A179162 - OEIS

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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.
21
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
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
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