f(n) = g^n + 1 where g is even positive integer
Source: 1991 German Federal - Bundeswettbewerb Mathematik - BWM - Round 1 p2
November 20, 2022
number theorydivides
Problem Statement
Let be an even positive integer and , .
Prove that for every positive integer we have:
a) divides each of the numbers
b) is relative prime to each of the numbers