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

Author

N. J. A. Sloane

Keywords

• nonn

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).

Extensions

More terms from David W. Wilson, Aug 15 1996