Thread: Let P be the set of primes that divide 200!.

Thanks for all the help you all have provided. Now, next question. I really just don't get it. Wish they would teach us this stuff in school...

Let P be the set of primes that divide 200!. What is the largest integer k so that the set of primes that divides k! is equal to P?

Originally Posted by ceasar_19134

Thanks for all the help you all have provided. Now, next question. I really just don't get it. Wish they would teach us this stuff in school...

Let P be the set of primes that divide 200!. What is the largest integer k so that the set of primes that divides k! is equal to P?

P is then the set of all primes <=200. The k you seek is p-1, where p is the
first prime >200. hence p=211, and k=210.

RonL