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A003825 Numbers that are the sum of two positive cubes in at least three ways (primitive solutions). 11
87539319, 119824488, 143604279, 175959000, 327763000, 804360375, 1840667192, 1915865217, 3080802816, 3499524728, 3623721192, 5544709352, 10458523413, 10499580728, 10833628897, 15170835645, 18778674824, 21303180171, 21989186856 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Here n = a^3 + b^3 = c^3 + d^3 = e^3 + f^3 where gcd(a, b, c, d, e, f) = 1.
REFERENCES
J. Leech, Some solutions of Diophantine equations, Proc. Camb. Phil. Soc., 53 (1957), 778-780.
R. K. Guy, Unsolved Problems in Number Theory, D1.
LINKS
Uwe Hollerbach, Taxi, Taxi! (snapshot of lost page on web.archive.org, as of Feb. 2012).
Uwe Hollerbach, Taxi! Taxi! [Cached copy from Wayback Machine, html version of top page only]
Eric Weisstein's World of Mathematics, Cubic Number
Eric Weisstein's World of Mathematics, Diophantine Equation--3rd Powers
CROSSREFS
Cf. A018787 (all solutions).
Sequence in context: A104964 A018787 A344804 * A114259 A234981 A054434
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from David W. Wilson, Aug 15 1996
STATUS
approved

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Last modified February 21 02:59 EST 2024. Contains 370219 sequences. (Running on oeis4.)