Just checked, and it is alluring that the number of primes between s

(n)-n and s(n)+1 is exactly TWO for the first NINE values of n! Then

(of course!)the tenth value breaks from the pattern and dips to one.

But that is an all time low and it climbs steadily from there. So yes

your observation is true.

Mark

--- In

primenumbers@yahoogroups.com, "mcnamara_gio"

<mcnamara_gio@y...> wrote:

>

> Let s(n) be sum of first n primes. a=s(n)-n and b=s(n)+1. Is it true

> that there is at least one prime p so that a<=p<=b.