The SHORT answer to your question is no.  The contrary is true. Almost all of
those numbers (a mathematical term) are composite.

I suggest you try the Prime pages of Chris Caldwell which hold a wealth of
information.
Try this link for more on those numbers which are called "primordial +1
primes" or "prime factorial".

These are the only numbers of that form that have been discovered for
2>p>35000....p#+1 is prime for the primes p=2, 3, 5, 7, 11, 31, 379, 1019,
1021, 2657, 3229, 4547, 4787, 11549, 13649, 18523, 23801,
 and 24029


> http://www.utm.edu/research/primes/glossary/PrimeFactorial.html
>
[EMAIL PROTECTED] wrote:

> Hello,
>
> Just wondering if someone can give me a yes or no on a simple concept.
>
> Given {1, 2, 3, 5, 7, ..., Xn-1, Xn}, where each Xn is prime and there are
> no prime numbers between each Xn-1 and Xn, is the following always prime:
>
> (1*2*3*5*7*...*Xn-1*Xn) + 1
>
> Thank you!
>
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