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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
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
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.)