Here are the first six integers , which are sums of two cubes of positive integers
None of the numbers 9, 16, 28, 35, and 54 is a sum of two squares of integers,
Hence, the least integer which is a sum of two squares of integers and a sum
of two cubes of positive integers is 65.
Find few other positive integers which are sums of two squares and sums of two cubes of two relatively prime positive integers.
Generalize from your results.