--- Wes & Paige Bullock <

6bullocks@...> wrote:

> I found something interesting when I was investigating the density of primes

> near the large prime gaps around the primorials.

>

> Basically, it could be stated as the following conjecture:

>

> The number of primes less than a primorial value, Pn#, approaches P(n-1)#

> (in a percentage error sense) as n increases.

What's the size of Pn#? (See

http://primes.utm.edu/glossary/page.php?sort=Primorial )

Therefore what's the expected density of primes around an arbitrary number in

the vicinity of Pn#?

There's nothing special about primorials in this regard, they behave exactly as

arbitrary numbers of similar size.

Phil

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