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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. 13

%I

%S 3,1,2,1331,4,216,28,54872,116,343,828,250047,496,71991296,207

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

%C The status of further terms is:

%C 15 integral solution: unknown

%C 16 integral solution: 503

%C 17 integral solution: unknown

%C 18 integral solution: 431

%C 19 integral solution: unknown

%C 20 integral solution: 2351

%C 21 integral solution: unknown

%C 22 integral solution: 3807

%C For least positive k such that equation y^2 = x^3 + k has exactly n integral solutions, see A179162.

%C If n is odd, then a(n) is perfect cube. [Ray Chandler]

%H J. Gebel, <a href="/A001014/a001014.txt">Integer points on Mordell curves</a> [Cached copy, after the original web site tnt.math.se.tmu.ac.jp was shut down in 2017]

%Y Cf. A081120, A081121, A179163-A179175.

%K nonn

%O 0,1

%A _Artur Jasinski_, Jun 30 2010

%E Edited and a(7), a(11), a(13) added by _Ray Chandler_, Jul 11 2010

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Last modified December 8 04:31 EST 2019. Contains 329850 sequences. (Running on oeis4.)