Brian and Zayn play a game with a box, initially with \( N > 3 \) cups numbered from \( 1 \) to \( N \) . Brian starts the game; they play alternatly, and at each move one of the players takes one of the cups still in the box. The game ends when there are only \( 2 \) cups in the box. Brian wins the game if the numbers of the remaining two cups are coprime. If they are not, Zayn wins. Determine all the values of \( N > 3 \) for which Zayn has a strategy that will make him win.