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A003825 Numbers that are the sum of two positive cubes in at least three ways (primitive solutions). 11

%I #38 Jan 22 2021 20:34:29

%S 87539319,119824488,143604279,175959000,327763000,804360375,

%T 1840667192,1915865217,3080802816,3499524728,3623721192,5544709352,

%U 10458523413,10499580728,10833628897,15170835645,18778674824,21303180171,21989186856

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

%C Here n = a^3 + b^3 = c^3 + d^3 = e^3 + f^3 where gcd(a, b, c, d, e, f) = 1.

%D J. Leech, Some solutions of Diophantine equations, Proc. Camb. Phil. Soc., 53 (1957), 778-780.

%D R. K. Guy, Unsolved Problems in Number Theory, D1.

%H Ray Chandler, <a href="/A003825/b003825.txt">Table of n, a(n) for n = 1..34204</a>

%H Uwe Hollerbach, <a href="http://web.archive.org/web/20120203221114/http://www.korgwal.com/ramanujan">Taxi, Taxi!</a> (snapshot of lost page on web.archive.org, as of Feb. 2012).

%H Uwe Hollerbach, <a href="/A003825/a003825.html">Taxi! Taxi!</a> [Cached copy from Wayback Machine, html version of top page only]

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/CubicNumber.html">Cubic Number</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DiophantineEquation3rdPowers.html">Diophantine Equation--3rd Powers</a>

%Y Cf. A018787 (all solutions).

%K nonn

%O 1,1

%A _N. J. A. Sloane_

%E More terms from _David W. Wilson_, Aug 15 1996

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Last modified April 19 10:38 EDT 2024. Contains 371791 sequences. (Running on oeis4.)