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Search: id:A003825
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| A003825 |
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Numbers that are the sum of two positive cubes in at least three ways (primitive solutions). |
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+0
2
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| 87539319, 119824488, 143604279, 175959000, 327763000, 804360375, 1840667192, 1915865217, 3080802816, 3499524728, 3623721192, 5544709352, 10458523413, 10499580728, 10833628897, 15170835645, 18778674824, 21303180171, 21989186856
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Here n = a^3 + b^3 = c^3 + d^ 3 = e^3 + f^3 where gcd(a, b, c, d, e, f) = 1.
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REFERENCES
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J. Leech, Some solutions of Diophantine equations, Proc. Camb. Phil. Soc., 53 (1957), 778-780.
R. K. Guy, Unsolved Problems in Number Theory, D1.
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LINKS
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Ray Chandler, Table of n, a(n) for n=1..34204
Uwe Hollerbach, Taxi, Taxi!
Eric Weisstein's World of Mathematics, Cubic Number
Eric Weisstein's World of Mathematics, Diophantine Equation--3rd Powers
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CROSSREFS
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Cf. A018787 (all solutions).
Sequence in context: A138030 A104964 A018787 this_sequence A114259 A054434 A164850
Adjacent sequences: A003822 A003823 A003824 this_sequence A003826 A003827 A003828
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from David W. Wilson (davidwwilson(AT)comcast.net) Aug 15 1996.
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