MathDB
Inserting digits cannot make the number prime

Source: 42nd International Tournament of Towns, Junior A-Level P1, Spring 2021

February 18, 2023
number theorycomposite numbersTournament of Towns

Problem Statement

The number 2021=43472021 = 43 \cdot 47 is composite. Prove that if we insert any number of digits “8” between 20 and 21 then the number remains composite.
Mikhail Evdikomov