Let n≥2021. Let a1<a2<⋯<an an arithmetic sequence such that a1>2021 and ai is a prime number for all 1≤i≤n. Prove that for all p prime with p<2021,p divides the diference of the arithmetic sequence.
Problem
Source: Mathematics Regional Olympiad of Mexico Southeast 2021 P2
Tags: number theory, prime numbers, arithmetic sequence