A054504 -id:A054504 - cp's OEIS frontend

A179159 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 20 integral solutions.

Original entry on oeis.org

2817, 4112, 4312, 5841

Offset: 1

Artur Jasinski, Jun 30 2010

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]

Cf. A054504, A081119, A179145-A179162.

Edited by Ray Chandler, Jul 11 2010

A179160 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 22 integral solutions.

Original entry on oeis.org

1737, 3025, 7057, 8225

Offset: 1

Artur Jasinski, Jun 30 2010

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]

Cf. A054504, A081119, A179145-A179162.

Edited by Ray Chandler, Jul 11 2010

A179161 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 24 integral solutions.

Original entry on oeis.org

4481, 8900

Offset: 1

Artur Jasinski, Jun 30 2010

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]

Cf. A054504, A081119, A179145-A179162.

Edited by Ray Chandler, Jul 11 2010

A365811 Numbers k >= 0 such that Mordell's equation y^2 = k^3 + x*(x + 1)/2 has an integral solution for a pair (x >= 0, y >= 0).

Original entry on oeis.org

0, 1, 2, 4, 9, 11, 12, 14, 16, 25, 26, 35, 36, 38, 40, 45, 49, 57, 62, 64, 69, 71, 74, 81, 84, 85, 88, 95, 96, 97, 100, 107, 109, 117, 120, 121, 122, 134, 136, 144, 145, 146, 155, 156, 157, 169, 170, 172, 179, 180, 191, 196, 201, 213, 217, 225, 230, 240, 242, 244

Offset: 1

Ctibor O. Zizka, Sep 19 2023

nonn

If there is a solution, then y >= k^(3/2). For k = r^2, the least solution is (x = 0, y = r^3).

			k = 4 is a term: 8^2 = 4^3.
k = 11 is a term: 39^2 = 11^3 + 19*20/2.

Cf. A000217, A000290, A000578, A054504.

isOK(k) = { []<>bnfisintnorm(bnfinit(x^2-2),16*k^3-2)} \\ Thomas Scheuerle, Sep 19 2023

cp's OEIS Frontend

A179159 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 20 integral solutions.

Views

Author

Keywords

Links

Crossrefs

Extensions

A179160 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 22 integral solutions.

Views

Author

Keywords

Links

Crossrefs

Extensions

A179161 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 24 integral solutions.

Views

Author

Keywords

Links

Crossrefs

Extensions

A365811 Numbers k >= 0 such that Mordell's equation y^2 = k^3 + x*(x + 1)/2 has an integral solution for a pair (x >= 0, y >= 0).

Views

Author

Keywords

Comments

Examples

Crossrefs

Programs

PARI