MathDB

2

Part of 2023 Singapore Junior Math Olympiad

Problems(1)

Arranging integers in a circle with 3-digit product of adjacent terms

Source: 2023 Singapore MO Round 2 Junior Q2

7/27/2023
What is the maximum number of integers that can be chosen from 1,2,…,991,2,\dots,99 so that the chosen integers can be arranged in a circle with the property that the product of every pair of neighbouring integers is 3-digit number?
number theory