Monsters

Ben is fighting a monster with a health of $H$. He starts with an attack power of $1$. Ben has two types of moves: - He can use a *regular attack*, which damages the monster by his current attack power. After this, his attack power **doubles**. - He can use a *special move*: choose a **prime number** $P$ such that $P \leq H$ ($H$ being the current health of the monster), and deal $P$ damage to