Let n be a positive integer with decimal representation:

 n = a₀ + a₁10 + a₂10² + ... + a_m10^m

 Find all  n satisfying: n = a₀⁴ + a₁⁴ + a₂⁴ + ... + a_m⁴   

⁽1 is a trivial example of this.) Prove mathematically no other solutions exist.

Answers : kstahmer