Search a number
primorials
The  $n$-th primorial, is equal to the product of the first  $n$  primes, from  $p_1$  to  $p_n$.

The primorial is often denoted with  $p_n\sharp$, i.e., so for example,  $p_4\sharp=7\sharp=2\cdot3\cdot5\cdot7$.

A famous limit is

\[ \lim (p_n\sharp)^{1/p_n} = e\,. \]

The first primorials are 1, 2, 6, 30, 210, 2310, 30030, 510510, 9699690, 223092870, 6469693230, 200560490130, 7420738134810, 304250263527210.

Pictorial representation of remainders (mod 2, 3, ...,11) frequency. For a table of values and more details click here
remainders of primorials
Useful links Mathworld, Primorial
Wikipedia, Primorial
OEIS, Sequence A002110
Primorials can also be... (you may click on names or numbers)

aban 30 210 abundant 30 210 2310 30030 510510 9699690 admirable 30 alternating 30 210 apocalyptic 2310 arithmetic 30 210 2310 30030 510510 9699690 binomial 210 congruent 30 210 2310 30030 510510 9699690 constructible 30 Curzon 30 210 2310 dig.balanced 210 eban 30 30030 esthetic 210 evil 30 210 2310 9699690 223092870 gapful 30030 Giuga 30 Harshad 30 210 2310 30030 223092870 iban 210 2310 idoneal 30 210 interprime 30 2310 9699690 junction 210 katadrome 30 210 magnanimous 30 nialpdrome 30 210 oban 30 odious 30030 510510 pandigital 210 partition 30 pentagonal 210 pernicious 510510 practical 30 210 2310 30030 510510 9699690 prim.abundant 30 pronic 30 210 510510 pseudoperfect 30 210 2310 30030 510510 sphenic 30 straight-line 210 super Niven 30 210 30030 super-d 2310 9699690 triangular 210 uban 30 unprimeable 30030 510510 9699690 untouchable 210 510510 wasteful 30 210 2310 30030 510510 9699690 Zumkeller 30 210 2310 30030