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Another infinite prime divisors problem

Source: Iran Team selection test 2024 - P10

May 19, 2024
number theory

Problem Statement

Let {an}\{a_n\} be a sequence of natural numbers such that each prime number greater than 14021402 divides a member of that. Prove that the set of prime divisors of members of sequence {bn}\{b_n\} which bn=a1a2...an−1b_n=a_1a_2...a_n-1 , is infinite.
Proposed by Navid Safaei
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