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A003825 Numbers that are the sum of two positive cubes in at least three ways (primitive solutions). 2
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!

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 January 31 23:41 EST 2016. Contains 267872 sequences.