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

Author

Jianing Song, Aug 23 2022

Keywords

• nonn
• hard
• more

Comments

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

Examples

			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.