THE HARDY-RAMANUJAN NUMBER

It is the smallest nontrivial taxicab number, i.e., the smallest number representable in two ways as a sum of two cubes. It is given by

1729=1³⁺¹²3=9³⁺¹⁰3.

The story behind it...

"I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen. “No,” Ramanujan replied, “it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways." - G.H Hardy

SOME INTERESTING FEATURES OF "1729" :

1. First Carmichael number.
2. First absolute Euler pseudoprime.
3. Also the first Ziesel number, and many more.