The Game of Mathematicians

Prachi and Shashank are playing the following game. They choose a number N to play with. The rules of the game are as follows: 1. Prachi plays first, and the two players alternate. 2. During his/her turn, a player can subtract any proper divisor(not equal to N) from N. The number thus obtained is the new N. 3. The player who cannot make a move in his/her turn loses the game. Assuming both play