A179145 -id:A179145 - cp's OEIS frontend

A134220 Values n for which integer solutions of Mordell curve y^2=x^3+n have a single value of x (or equivalently of nonnegative y).

2, 3, 4, 5, 10, 16, 18, 19, 22, 25, 26, 27, 30, 31, 33, 35, 38, 40, 41, 43, 48, 49, 50, 52, 54, 55, 56, 71, 72, 76, 79, 81, 82, 91, 92, 94, 97, 98, 99, 105, 106, 107, 112, 117, 119, 120, 122, 125, 126, 127, 131, 132, 134, 136, 138, 142, 143, 144, 150, 151, 152, 154, 156

Offset: 1

Artur Jasinski, Oct 14 2007, Oct 16 2007

nonn

Union of A179145 and A179146.

Cf. A134108, A134221, A134222, A134223.

Numbers n such that A134108(n) = Floor((A081119(n)+1)/2) = 1.

Edited and extended by Ray Chandler, Jul 12 2010

A179146 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 2 integral solutions.

Original entry on oeis.org

2, 3, 4, 5, 10, 16, 18, 19, 22, 25, 26, 30, 31, 33, 35, 38, 40, 41, 43, 48, 49, 50, 52, 54, 55, 56, 71, 72, 76, 79, 81, 82, 91, 92, 94, 97, 98, 99, 105, 106, 107, 112, 117, 119, 120, 122, 126, 127, 131, 132, 134, 136, 138, 142, 143, 144, 150, 151, 152, 154, 156, 163, 170

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. A054504, A081119, A179145-A179162.

Edited by Ray Chandler, Jul 11 2010

A179148 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 4 integral solutions.

Original entry on oeis.org

12, 15, 28, 44, 63, 68, 101, 121, 128, 148, 168, 197, 198, 204, 208, 220, 232, 248, 269, 294, 337, 346, 350, 369, 404, 409, 443, 481, 485, 492, 540, 556, 561, 575, 618, 640, 656, 659, 701, 702, 716, 740, 757, 768, 775, 785, 804, 829, 850, 857, 868, 885, 901

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. A054504, A081119, A179145-A179162.

URL typos corrected - R. J. Mathar, Jul 05 2010

Edited by Ray Chandler, Jul 11 2010

A179150 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 6 integral solutions.

Original entry on oeis.org

37, 57, 129, 141, 164, 169, 171, 196, 281, 289, 359, 392, 414, 427, 433, 464, 513, 516, 577, 593, 612, 625, 633, 665, 684, 721, 730, 793, 801, 841, 849, 899, 940, 953, 964, 1001, 1081, 1090, 1153, 1169, 1233, 1252, 1289, 1297, 1380, 1441, 1452, 1457, 1500

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. A054504, A081119, A179145-A179162.

Edited by Ray Chandler, Jul 11 2010

A179152 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 8 integral solutions.

Original entry on oeis.org

24, 36, 65, 80, 89, 108, 145, 161, 233, 260, 353, 377, 441, 449, 505, 521, 528, 537, 649, 681, 737, 745, 784, 792, 1100, 1116, 1224, 1296, 1412, 1513, 1536, 1548, 1585, 1753, 1897, 1961, 2025, 2033, 2185, 2250, 2305, 2404, 2521, 2537, 2745, 2793, 2852, 2913

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. A134223, A054504, A081119, A179145-A179162.

Edited by Ray Chandler, Jul 11 2010

A179153 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 10 integral solutions.

Original entry on oeis.org

9, 217, 252, 360, 548, 576, 836, 892, 1009, 1225, 1729, 1764, 1772, 2024, 2201, 2296, 2304, 2312, 2600, 3185, 3489, 3592, 4364, 4600, 4625, 4964, 5624, 5696, 5776, 5913, 6057, 6372, 6489, 6513, 6561, 6616, 6713, 6912, 7388, 8100, 8809, 9000, 9024, 9052

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. A054504, A081119, A179145-A179162.

Edited by Ray Chandler, Jul 11 2010

A179154 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 12 integral solutions.

Original entry on oeis.org

73, 100, 113, 388, 1304, 1809, 1900, 2052, 2241, 3356, 3753, 4672, 5328, 6625, 6856, 6921, 7948, 8433, 8673, 9936

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

A179155 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 14 integral solutions.

Original entry on oeis.org

316, 568, 1016, 1872, 4329, 4825, 6400, 7353, 8289

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

A179157 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 16 integral solutions.

Original entry on oeis.org

17, 1088, 3033, 3664, 3844, 4356, 4977, 5400, 7232, 7568, 7785, 9297

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

A179158 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 18 integral solutions.

Original entry on oeis.org

297, 873, 1305, 2628, 3969, 8281, 8676

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

cp's OEIS Frontend

A134220 Values n for which integer solutions of Mordell curve y^2=x^3+n have a single value of x (or equivalently of nonnegative y).

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A179146 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 2 integral solutions.

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A179148 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 4 integral solutions.

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A179150 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 6 integral solutions.

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A179152 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 8 integral solutions.

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A179153 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 10 integral solutions.

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A179154 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 12 integral solutions.

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A179155 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 14 integral solutions.

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Extensions

A179157 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 16 integral solutions.

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A179158 Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 18 integral solutions.

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