A356699
Numbers k such that Mordell's equation y^2 = x^3 + k has a record number of integral solutions.
Original entry on oeis.org
1, 8, 9, 17, 225, 1025
Offset: 1
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.
A356700
Numbers k such that Mordell's equation y^2 = x^3 - k has a record number of integral solutions.
Original entry on oeis.org
1, 2, 4, 28, 116, 207, 431, 2351, 3807
Offset: 1
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.
Original entry on oeis.org
1, 2, 4, 6, 8, 14, 18, 20, 22
Offset: 1
a(9) = 22 since A356700(9) = 3807, and the equation y^2 = x^3 - 3807 has 22 integral solutions.
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