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.

Test

Boilerplate code

Console output

Shortcuts on this page

Use Cmd instead of Ctrl if you're on a Mac.

`g`	Focus editor
`Ctrl`-`Enter`	Run the test with current code
`Ctrl`-`Shift`-`K`	Reset the editor
`Ctrl`-`Shift`-`L`	Clear console output
`Ctrl`-`Shift`-`X`	Show the solution
`[`	Previous challenge
`]`	Next challenge
`T`	Back to top page
`?`	Show this dialog
`ESC`	Hide this dialog
`Shift`-`ESC`	Blur focus from editor