MathDB
integer divisible by n + 1, n + 2, ..., n + 9 also by n+10

Source: 2022 Czech-Polish-Slovak Match Junior, individual p5 CPSJ

September 3, 2022
number theorydivisible

Problem Statement

An integer n≥1n\ge1 is good if the following property is satisfied: If a positive integer is divisible by each of the nine numbers n+1,n+2,...,n+9n + 1, n + 2, ..., n + 9, this is also divisible by n+10n + 10. How many good integers are n≥1n\ge 1?
Back to ProblemsView on AoPS