MathDB
Arithmetic sequence with divisibility property

Source: All-Russian MO Round 4, 2005

April 2, 2005
arithmetic sequencenumber theory proposednumber theory

Problem Statement

9.7 Is there an infinite arithmetic sequence {an}⊂N\{a_n\}\subset \mathbb N s.t. an+...+an+9∣an...an+9a_n+...+a_{n+9}\mid a_n...a_{n+9} for all nn? (V. Senderov)
Back to ProblemsView on AoPS