A356700 Numbers k such that Mordell's equation y^2 = x^3 - k has a record number of integral solutions.

1, 2, 4, 28, 116, 207, 431, 2351, 3807

Offset

1,2

Comments

Indices of records in A081120. For the record values see A356702.

Links

Table of n, a(n) for n=1..9.

Example

207 is a term since the equation y^2 = x^3 + 207 has 14 integral solutions, and the number of solutions to y^2 = x^3 - k is less than 14 for 0 < k < 207.

Crossrefs

Cf. A081119, A081120, A356699, A356701, A356702.

Sequence in context: A192374 A274526 A264667 * A357158 A259134 A117443

Adjacent sequences: A356697 A356698 A356699 * A356701 A356702 A356703

Keyword

nonn,hard,more

Author

Jianing Song, Aug 23 2022

Status

approved