MathDB

N4

Part of 2019-IMOC

Problems(1)

$p_{n+2}$ is the largest prime divisor of $p_n+p_{n+1}+2018$

Source: IMOC 2019 N4

9/4/2020
Given a sequence of prime numbers p1,p2,⋯p_1, p_2,\cdots , with the following property: pn+2p_{n+2} is the largest prime divisor of pn+pn+1+2018p_n+p_{n+1}+2018 Show that the set {pi}i∈N\{p_i\}_{i\in \mathbb{N}} is finite.
number theoryIMOC