MathDB

The number "3" is written on a board. Ana and Bernardo take turns, starting with Ana, to play the following game. If the number written on the board is

n

, the player in his/her turn must replace it by an integer

m

coprime with

n

and such that

n<m<n^2

. The first player that reaches a number greater or equal than 2016 loses. Determine which of the players has a winning strategy and describe it.

Problem Statement