In connection to our equation (A),there is an interesting anecdote about the
conversation Ramanujan & Hardy had about a hundred years ago when Hardy came
in a cab to visit Ramanujan. Hardy remarked that his cab’s license plate was an
uninteresting number 1729. But Ramanujan who had the ability of having integers
as his friends said on the contrary 1729 is the smallest number which could be
summed as two cubes in two different ways. Meaning sum of two cubes in two ways
that is, (1729) =
. Since than mathematicians have called this
type of equation as taxicab equation without the restriction on the powers being
quadratic, cubic, quartic or quintic.