MathDB

Known prime generating sequence has coprime terms

Source:

July 7, 2020

primenumber theoryGCD

Problem Statement

Let

\left( s_n \right)_{n\ge 1 }

be a sequence with

s_1

and defined recursively as

s_{n+1}=s_n^2-s_n+1.

Prove that any two terms of this sequence are coprime.
Dan Nedeianu