Tool to compute a primorial. Primorial n# is the product of all prime numbers inferior or equal to n, or the product of all n first prime numbers (it depend on the selected definition)

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Tool to compute a primorial. Primorial n# is the product of all prime numbers inferior or equal to n, or the product of all n first prime numbers (it depend on the selected definition)

Answers to Questions

How to calculate a primorial?

The term primorial refers to two separate definitions:

'(1) Primorial defined as the product of all prime numbers inferior or equal to n is a simple multiplication conditioned par a primality test of the numbers inferior or equal to n.

(2)'' Primorial defined as a product of the n first primes is equivalent to a multiplication of the list of the first n primes :

n

n# (1)

n# (2)

1

1

1

2

2

2

3

6

6

4

6

30

5

30

210

6

30

2310

7

210

30030

8

210

510510

9

210

9699690

10

210

223092870

11

2310

6469693230

...

...

...

In both cases, the primorial of p is written with the character sharp: p#

By convention \( 1\# = 1 \)

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Source code

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