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A088017 Numbers not expressible as sum or difference of a nonzero cube and a nonzero square. 3
6, 14, 16, 21, 27, 29, 32, 34, 42, 46, 51, 58, 59, 62, 66, 69, 70, 75, 77, 78, 84, 85, 86, 88, 90, 93, 96, 102, 103, 110, 111, 114, 115, 123, 125, 130, 133, 137, 140, 144, 149, 157, 158, 160, 162, 165, 166, 173, 176, 178, 179, 181, 182, 183, 187, 194, 201, 202, 203 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Numbers n such that neither variant of Mordell's equation y^2=x^3+n (A054504) or y^2=x^3-n (A081121) has an integral solution with x notequal 0 and y notequal 0. Jack Brennen (jack(at)brennen.net) Aug 28 2003.

LINKS

Eric Weisstein's World of Mathematics, Mordell Curve. Section in World of Mathematics.

J. Gebel, Data on Mordell's curve

EXAMPLE

16 is in the sequence because the only integral solution to Mordell's equation y^2 = x^3 +- 16 is (y=4,x=0). 49 is not in the sequence because it can also be expressed as 65^3-524^2.

CROSSREFS

Cf. A054504, A081121, A087285, A087286.

Sequence in context: A116926 A140330 A114634 * A206524 A141082 A108977

Adjacent sequences:  A088014 A088015 A088016 * A088018 A088019 A088020

KEYWORD

nonn

AUTHOR

Hugo Pfoertner (hugo(AT)pfoertner.org), Sep 18 2003

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Last modified February 15 12:25 EST 2012. Contains 205786 sequences.