Definition:Primorial Prime

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Definition

A primorial prime is a prime number $p$ such that $p + 1$ is a primorial.

That is, a prime number which is $1$ less than a primorial.


Sequence of Primorial Primes

The sequence of primorial primes begins:

$5, 29, 2309, 30 \, 029, 304 \, 250 \, 263 \, 527 \, 209, 23 \, 768 \, 741 \, 896 \, 345 \, 550 \, 770 \, 650 \, 537 \, 601 \, 358 \, 309, \ldots$