Is $\lim_{n\to\infty}\frac{p_{n+1}}{p_n}=1$ where $p_n$ is the $n$th prime number?

Question

I've just been wondering: Is $$\lim_{n\to\infty}\frac{p_{n+1}}{p_n}=1$$ Essentially I am asking if the primes become more spread out the larger they are, or if the ratio between successive terms decreases adymptotically to $1$. Thanks for any comments or responses.