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.

Example: \( 6\# = 2 \times 3 \times 5 = 30 \)

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

Lists (1) and (2) contain the same numbers but (1) have repeated elements.

In both cases, the primorial of p is written with the character sharp: p# or \( p\# \)

By convention \( 1\# = 1 \)

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Source code

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