MathDB
Appending 1 or 3

Source: JOM 2024 P4

February 29, 2024
number theory

Problem Statement

Minivan chooses a prime number. Then every second, he adds either the digit 11 or the digit 33 to the right end of his number (after the unit digit), such that the new number is also a prime. Can he continue indefinitely?
(Proposed by Wong Jer Ren)