Question 116
Aisling and Brendan take alternate moves in the following game. Before the game starts, the number $x = 2023$ is written on a piece of paper. Aisling makes the first move. A move from a positive integer $x$ consists of replacing $x$ either with $x + 1$ or with $x/p$ where $p$ is a prime factor of $x$.
The winner is the first player to write the number $x = 1$.
Determine whether Aisling or Brendan has a winning strategy for this game.
The winner is the first player to write the number $x = 1$.
Determine whether Aisling or Brendan has a winning strategy for this game.