The Ramanujan Search

The Hardy-Ramanujan Magic

A Taxicab number is an integer that can be expressed as the sum of two cubes in two different ways ($a^3 + b^3 = c^3 + d^3$).

The Assignment

Your function receives a parameter limit.

1. Use triple-nested loops to iterate through potential cubes $a, b, c, d$.
2. To avoid duplicates, ensure $a < b$ and $c < d$ and $a < c$.
3. If $a^3 + b^3$ equals $c^3 + d^3$ and the result is less than or equal to limit:
   • Print: "target = a^3 + b^3 = c^3 + d^3"