I am looking for the asymptotic growth of product of consecutive primes. Is there anything that is known about this growth?



Asymptotics of Product of consecutive primes
Denote by $$\Pi(x)=\prod\_{p\leqslant x}p,$$ thus
$$\log\Pi(x)=\sum\_{p\leqslant x}\log p:=\theta(x)\sim x,$$ which is known as the Prime Number Theorem. You may find further information in <http://en.wikipedia.org/wiki/Prime_number_theorem> 


