# What is an upper bound for number of prime powers and semi primes in the interval $[n^2+1,n^2+n]?$

What is an upper bound for number of prime powers in the interval

$[n^2+1,n^2+n]?$

What is an upper bound for number of square free semi primes in this

interval$?$

• Is this the continuation of the "upper bound" questions like math.stackexchange.com/questions/1621089/… ? – gammatester Jan 28 '16 at 13:14
• there is a slight change, before it was in the interval $[n^2,(n+1)^2[$, today it is in $]n^2,(n+1)^2-n[$ – reuns Jan 28 '16 at 13:34

Since you say an upper bound, $n^2+ n$ is.
• $n$ is a better bound, for that matter. – Wojowu Jan 28 '16 at 13:12