A081121 -id:A081121 - cp's OEIS frontend

A350977 Numbers k such that x^3 - y^2 = k has no solution.

3, 4, 6, 9, 10, 12, 14, 17, 21, 22, 27, 30, 33, 34, 37, 41, 42, 46, 50, 57, 58, 62, 65, 66, 69, 70, 73, 75, 77, 78, 82, 85, 86, 90, 93, 94, 97, 98, 171, 176, 275, 475, 539, 1315, 2288, 2743, 5491

Offset: 1

N. J. A. Sloane, Mar 06 2022

The 4 seems to be in error here, because x=2, y=2 or x=5, y=11 are a solution to x^3-y^2=4. [No entry here should be in A087285]. - R. J. Mathar, Mar 07 2022

Apparently y>0 is enforced; otherwise x=3, y=0 would solve x^3-y^2=27. - R. J. Mathar, Mar 07 2022

H. Brocard, Query 2312, L'Intermédiaire des Mathématiciens, 10 (1903), 283-284.

Cf. A350976. Apparently an erroneous version of A081121.

A179165 Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 4 integral solutions.

Original entry on oeis.org

4, 7, 11, 26, 48, 53, 55, 60, 63, 76, 109, 147, 180, 212, 215, 242, 256, 277, 362, 364, 375, 391, 405, 433, 448, 471, 476, 511, 535, 593, 615, 674, 680, 704, 728, 767, 782, 802, 831, 856, 875, 895, 900, 914, 931, 975, 991, 996, 1055, 1096, 1108, 1144, 1152

Offset: 1

Artur Jasinski, Jun 30 2010

nonn

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. A081120, A081121, A179163-A179175.

Edited by Ray Chandler, Jul 11 2010

A179166 Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 6 integral solutions.

Original entry on oeis.org

28, 39, 47, 100, 104, 135, 152, 174, 191, 200, 244, 424, 440, 459, 732, 755, 804, 888, 984, 1048, 1075, 1084, 1236, 1259, 1287, 1322, 1432, 1503, 1668, 1763, 1792, 1812, 1951, 2160, 2224, 2344, 2367, 2440, 2468, 2496, 2556, 2692, 2695, 2699, 2727, 2799

Offset: 1

Artur Jasinski, Jun 30 2010

nonn

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. A081120, A081121, A179163-A179175.

Edited by Ray Chandler, Jul 11 2010

A179168 Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 8 integral solutions.

Original entry on oeis.org

116, 307, 508, 516, 639, 964, 1192, 1208, 1588, 1607, 1692, 1719, 2036, 2548, 2575, 2708, 2888, 3231, 3376, 3623, 4598, 4743, 5319, 5508, 5823, 5872, 5887, 6012, 6400, 6551, 6691, 6823, 6911, 7375, 7600, 7740, 7900, 7975, 9127, 9408, 9455

Offset: 1

Artur Jasinski, Jun 30 2010

nonn

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. A081120, A081121, A179163-A179175.

Edited by Ray Chandler, Jul 11 2010

A179169 Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 10 integral solutions.

Original entry on oeis.org

828, 944, 980, 1724, 2188, 3051, 3471, 3952, 3967, 4031, 4080, 5095, 5296, 5975, 6908, 7100, 7424, 7516, 7775, 8623

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. A081120, A081121, A179163-A179175.

Edited by Ray Chandler, Jul 11 2010

A179170 Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 12 integral solutions.

Original entry on oeis.org

496, 648, 676, 999, 1071, 1712, 1999, 2071, 3332, 4087, 4220, 5543, 6236, 6479, 8712, 9967

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. A081120, A081121, A179163-A179175.

Edited by Ray Chandler, Jul 11 2010

A179171 Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 14 integral solutions.

Original entry on oeis.org

207, 368, 775, 847, 1727, 4799, 7804, 8532, 9559

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. A081120, A081121, A179163-A179175.

Edited by Ray Chandler, Jul 11 2010

A179172 Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 16 integral solutions.

Original entry on oeis.org

503, 1439

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. A081120, A081121, A179163-A179175.

Edited by Ray Chandler, Jul 11 2010

A179173 Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 18 integral solutions.

Original entry on oeis.org

431, 9748

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. A081120, A081121, A179163-A179175.

Edited by Ray Chandler, Jul 11 2010

cp's OEIS Frontend

A350977 Numbers k such that x^3 - y^2 = k has no solution.

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A179165 Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 4 integral solutions.

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A179166 Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 6 integral solutions.

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A179168 Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 8 integral solutions.

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A179169 Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 10 integral solutions.

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A179170 Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 12 integral solutions.

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Extensions

A179171 Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 14 integral solutions.

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Extensions

A179172 Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 16 integral solutions.

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Author

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Extensions

A179173 Numbers n such that Mordell's equation y^2 = x^3 - n has exactly 18 integral solutions.

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Author

Keywords

Links

Crossrefs

Extensions