Problem 272: Modular Cubes, part 2

For a positive number n, define C(n) as the number of the integers x, for which 1

When n=91, there are 8 possible values for x, namely : 9, 16, 22, 29, 53, 74, 79, 81. Thus, C(91)=8.

Find the sum of the positive numbers n≤1011 for which C(n)=242.

Test

Boilerplate code

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