Generalized taxicab number
In mathematics, the generalized taxicab number Taxicab is the smallest number which can be expressed as the sum of j kth positive powers in n different ways. For k = 3 and j = 2, they coincide with taxicab numbers.
Euler showed that
However, Taxicab is not known for any n ≥ 2; no positive integer is known which can be written as the sum of two fifth powers in more than one way.
