Two players $A$ and $B$ move alternately by adding a proper divisor of $n$ to the current $n$. The goal is a number $\ge 1990$. Who wins if they started with $n=2$.
At first $A$ add 1 to 2 and form 3. Then $B$ add 1 to 3 and form 4. After that $A$ add 2 to 4 and form 6. This moves are necessary . From what is the winning players strategy to won this game.I just started this chapter and faced this critical (for me ) problem. Please help me.