512

[enzocreti]

Is 512 the only cube with the property that if the digits are reversed, the reverse 215 is a cube minus one?

[paulunderwood]

Originally Posted by enzocreti

Is 512 the only cube with the property that if the digits are reversed, the reverse 215 is a cube minus one?

0^3 is a cube. Reversed is 0 and that is 1 less than 1 which is also a cube: 1^3

[paulunderwood]

Originally Posted by enzocreti

Is 512 the only cube with the property that if the digits are reversed, the reverse 215 is a cube minus one?

If you allow for leading zeroes to removed there are infinite many solutions:

(8*10^n)^3 == 512*10^(3*n). Reversed it is 000...000215 which is 1 fewer than 6^3