MathDB

Nonnegative integer solutions

Source:

March 18, 2011

modular arithmeticalgebrapolynomialfunctionAIMEnumber theory

Problem Statement

Find the number of positive integers

m

for which there exist nonnegative integers

x_0,x_1,\ldots,x_{2011}

such that

m^{x_0}=\sum_{k=1}^{2011}m^{x_k}.