### গুণিতক বিসর্জনের খেলা

##### Score: 2 Points

$99$ numbers are given in the order: $2,3,…,100$. $5$ friends including you are playing with these numbers. At first you remove all the multiples of $2$. The next friend comes and removes the multiples of next remaining smallest number. And this goes in repeated process. The person who doesn't have anything to remove wins the game. What will be the serial of the winner?

Source: BdMO

Number Theory

Tried 127

Solved 114