MathDB

number theory

Source:

January 31, 2016

number theorynumber theory unsolved

Problem Statement

Let

a

and

b

is roots of the

x^2-6x+1

equation.
a) Show that, for all

n \in{\mathbb Z^+}

a^n+b^n

is a integer. b) Show that, for all

n \in{\mathbb Z^+}

5

isn't divide

a^n+b^n