Primorial

A primorial is an integer that is the product of the first given prime numbers multiplied together. For example, 210 is a primorial which is the product of the first four primes multiplied together (2 x 3 x 5 x 7). The first few primorials are

6, 30, 210, 2310, 30030, 510510, 9699690, 223092870, 6469693230, 200560490130, 7420738134810, 304250263527210, 13082761331670030, 614889782588491410

Given the multiplicative identity of 1, it is possible to consider 1 a prime number without changing the values of any of the primorials.