MathDB

Easy NT sequence

Source: Cono Sur 2023 P4

August 8, 2023

number theory

Problem Statement

Consider a sequence

\{a_n\}

of integers, satisfying

a_1=1, a_2=2

and

a_{n+1}

is the largest prime divisor of

a_1+a_2+\ldots+a_n

. Find

a_{100}