

A356720


Numbers k such that Mordell's equation y^2 = x^3 + k^3 has more than 1 integral solution.


7



1, 2, 4, 7, 8, 9, 10, 11, 14, 16, 18, 21, 22, 23, 25, 26, 28, 32, 33, 34, 35, 36, 37, 38, 40, 44, 46, 49, 50, 56, 57, 63, 64, 65, 70, 71, 72, 74, 78, 81, 84, 86, 88, 90, 91, 92, 95, 98, 99, 100, 104, 105, 110, 112, 114, 121, 122, 126, 128, 129, 130, 132, 136, 140, 144, 148
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OFFSET

1,2


COMMENTS

Numbers k such that Mordell's equation y^2 = x^3 + k^3 has solutions other than the trivial solution (k,0).
Different from A103254, which lists k such that Mordell's equation y^2 = x^3 + k^3 has solutions with positive x (or equivalently, with nonnegative x). 71, 74, and 155 are here but not in A103254.
Contains all squares since A356711 does.


LINKS



EXAMPLE

71 is a term since the equation y^2 = x^3 + 71^3 has 3 solutions (71,0) and (23,+588).
74 is a term since the equation y^2 = x^3 + 74^3 has 3 solutions (74,0) and (47,+549).
155 is a term since the equation y^2 = x^3 + 155^3 has 3 solutions (155,0) and (31,+1922).


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



