A003825 Numbers that are the sum of two positive cubes in at least three ways (primitive solutions).

87539319, 119824488, 143604279, 175959000, 327763000, 804360375, 1840667192, 1915865217, 3080802816, 3499524728, 3623721192, 5544709352, 10458523413, 10499580728, 10833628897, 15170835645, 18778674824, 21303180171, 21989186856

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

Ray Chandler, Table of n, a(n) for n = 1..34204

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

Adjacent sequences: A003822 A003823 A003824 * A003826 A003827 A003828

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from David W. Wilson, Aug 15 1996

Status

approved