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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. 15
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
Sequence in context: A088363 A300839 A143783 * A274635 A146524 A179656
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 April 19 18:05 EDT 2024. Contains 371798 sequences. (Running on oeis4.)