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$99$ 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?

Number Theory   BdMO  


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Attempt 500


Solve 461


First Solve adolfhitler7527