# Problem 348: Sum of a square and a cube
Many numbers can be expressed as the sum of a square and a cube. Some of
them in more than one way. Consider the palindromic numbers that can be
expressed as the sum of a square and a cube, both greater than 1, in
exactly 4 different ways. For example, 5229225 is a palindromic number
and it can be expressed in exactly 4 different ways: 22852 + 203 22232 +
663 18102 + 1253 11972 + 1563 Find the sum of the five smallest such
palindromic numbers.