I recently saw a meme posted to the Facebook group "Mathematical Mathematics Memes."
The meme listed some results about the number of primes between two given numbers.
The last result listed seems too good to be true, and I have never seen it before. The result says:
"For every $\epsilon >0$, there exists $N$ such that for every $n\geq N$, there exists a prime number $p$ between $n$ and $(1+\epsilon)n$."
Is this statement true, or are they just meming? If so, could you supply a reference?