# Thread: Consecutive integers/prime factorization problem

1. ## Consecutive integers/prime factorization problem

Hello,

I've been having trouble with a problem that I just don't know where to start at:

Show that there are 500 consecutive integers, each of which has at least 500 different primes in its factorization.

Any help would be much, much appreciated.

2. Originally Posted by AmericanPi
Hello,

I've been having trouble with a problem that I just don't know where to start at:

Show that there are 500 consecutive integers, each of which has at least 500 different primes in its factorization.

Any help would be much, much appreciated.
Someone has already posted this question

http://www.mathhelpforum.com/math-he...ing-proof.html