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 A356709 Numbers k such that Mordell's equation y^2 = x^3 + k^3 has exactly 1 integral solution. 12
 3, 5, 6, 12, 13, 15, 17, 19, 20, 24, 27, 29, 30, 31, 39, 41, 42, 43, 45, 47, 48, 51, 52, 53, 54, 55, 58, 59, 60, 61, 62, 66, 67, 68, 69, 73, 75, 76, 77, 79, 80, 82, 83, 85, 87, 89, 93, 94, 96, 97, 101, 102, 103, 106, 107, 108, 109, 111, 113, 115, 116, 117, 118, 119 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers k such that Mordell's equation y^2 = x^3 + k^3 has no solution other than the trivial solution (-k,0). Cube root of A179145. LINKS Jianing Song, Table of n, a(n) for n = 1..115 (using the b-file of A356720, which is based on the data from A103254) EXAMPLE 3 is a term since the equation y^2 = x^3 + 3^3 has no solution other than (-3,0). CROSSREFS Cf. A081119, A179145, A179147, A179149, A179151, A356710, A356711, A356712. Indices of 1 in A356706, of 0 in A356707, and of 1 in A356708. Complement of A356720. Cf. also A356713, A228948. Sequence in context: A268495 A127577 A280590 * A185912 A100712 A086187 Adjacent sequences: A356706 A356707 A356708 * A356710 A356711 A356712 KEYWORD nonn AUTHOR Jianing Song, Aug 23 2022 STATUS approved

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Last modified July 23 23:47 EDT 2024. Contains 374575 sequences. (Running on oeis4.)