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A003825 Numbers that are the sum of two positive cubes in at least three ways (primitive solutions). 10
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

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

Uwe Hollerbach, Taxi, Taxi! [Original link, broken]

Uwe Hollerbach, Taxi, Taxi! [Replacement link to Wayback Machine]

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: A138030 A104964 A018787 * 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

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Last modified September 25 15:22 EDT 2018. Contains 315392 sequences. (Running on oeis4.)