The smallest nontrivial Taxicab Number, i.e., the smallest number representable in two ways as a sum of two
Cubes. It is given by
See also Diophantine Equation--Cubic, Taxicab Number
References
Guy, R. K. ``Sums of Like Powers. Euler's Conjecture.'' §D1 in
Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 139-144, 1994.
Hardy, G. H. Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, 3rd ed. New York: Chelsea, p. 68,
1959.
Hofstadter, D. R. Gödel, Escher, Bach: An Eternal Golden Braid.
New York: Vintage Books, p. 564, 1989.
Kanigel, R. The Man Who Knew Infinity: A Life of the Genius Ramanujan. New York: Washington Square Press, p. 312, 1991.
Snow, C. P. Foreword to Hardy, G. H.
A Mathematician's Apology, reprinted with a foreword by C. P. Snow.
New York: Cambridge University Press, p. 37, 1993.