# Are minus-primorial-primes rarer than plus-primorial primes?

Here

https://primes.utm.edu/glossary/page.php?sort=PrimorialPrime

it can be seen that the largest known primorial prime of the form $p\#-1$ is far smaller than the largest known primorial prime of the form $p\#+1$. I do not see a reason why a plus-primorial number has a bigger probability to be prime.

Is this result pure chance, or is there a mathematical reason ?

• There is no such discrepance for the factorial primes : primes.utm.edu/glossary/xpage/FactorialPrime.html – Peter Sep 14 '15 at 16:09
• I don't immediately see any reason that it's due to anything but chance. – Greg Martin Sep 14 '15 at 16:50
• Does the question really make sense ? Your link doesn't suggest the $\pm$ primorial primes are not equidistributed – reuns Dec 7 '17 at 20:25