A179174 Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 22 integral solutions.

3807, 3896, 52784, 129556, 157239, 167600, 185112, 200871, 281439, 314199, 347967, 370647, 399375, 553648, 623872, 720703, 815728, 819775, 856799, 934975, 994816

Offset

1,1

Comments

Counting (+x,+y) and (+x,-y) iff y != 0.

Links

Table of n, a(n) for n=1..21.

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]

Jose Aranda, C++ Program

Crossrefs

Subsequence of A007412.

Cf. A081120, A081121, A179163-A179175, A134107, A106265.

Sequence in context: A031793 A234765 A228545 * A232083 A234668 A259522

Adjacent sequences: A179171 A179172 A179173 * A179175 A179176 A179177

Keyword

hard,more,nonn

Author

Artur Jasinski, Jun 30 2010

Extensions

Edited by Ray Chandler, Jul 11 2010

a(3)-a(21) from Jose Aranda, Aug 10 2024

Status

approved