A356699 Numbers k such that Mordell's equation y^2 = x^3 + k has a record number of integral solutions.

1, 8, 9, 17, 225, 1025

Offset

1,2

Comments

Indices of records in A081119. For the record values see A356701.

Links

Table of n, a(n) for n=1..6.

Example

1025 is a term since the equation y^2 = x^3 + 1025 has 32 integral solutions, and the number of solutions to y^2 = x^3 + k is less than 32 for 0 < k < 1025.

Crossrefs

Cf. A081119, A081120, A356700, A356701, A356702.

Sequence in context: A042727 A041128 A041551 * A057104 A359062 A095191

Adjacent sequences: A356696 A356697 A356698 * A356700 A356701 A356702

Keyword

nonn,hard,more

Author

Jianing Song, Aug 23 2022

Status

approved