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A080762
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Positive numbers not of the form y^2 - x^3, x and y >= 1.
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2
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2, 4, 5, 6, 7, 10, 11, 13, 14, 16, 20, 21, 23, 25, 26, 27, 29, 31, 32, 33, 34, 39, 42, 43, 45, 46, 47, 49, 50, 51, 52, 53, 58, 59, 60, 61, 62, 66, 67, 69, 70, 72, 74, 75, 76, 77, 78, 81, 82, 83, 84, 85, 86, 87, 88, 90, 91, 93, 95, 96, 102, 103, 104, 109, 110, 111, 114, 115
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| This is Mordell's equation with the condition that x and y are positive. Sequence A054504 lists the n for which there is no solution to Mordell's equation (positive or negative x and y). Hence, all of those numbers will be in this sequence. Additional terms of this sequence can be determined by looking at the link to Gebel's data. - T. D. Noe, Mar 23 2011
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REFERENCES
| J. Gebel, A. Petho and H. G. Zimmer, On Mordell's equation, Compositio Mathematica 110 (3) (1998), 335-367.
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LINKS
| J. Gebel, Integer points on Mordell curves
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PROG
| (PARI) diop(n, m) = {f=0; for(p=1, m, f=0; for(x=1, n, y=x*x*x+p; if(issquare(y), f=1); ); if(f==0, print1(p" ")) ) }
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CROSSREFS
| Complement of A080761.
Sequence in context: A007238 A083875 A165291 * A047570 A129132 A191843
Adjacent sequences: A080759 A080760 A080761 * A080763 A080764 A080765
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KEYWORD
| nonn
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AUTHOR
| Cino Hilliard (hillcino368(AT)gmail.com), Mar 10 2003
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