Search for a tool
Primorial

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)

Results

Primorial -

Tag(s) : Arithmetics, Mathematics

dCode and you

dCode is free and its tools are a valuable help in games, puzzles and problems to solve every day!
You have a problem, an idea for a project, a specific need and dCode can not (yet) help you? You need custom development? Contact-me!

Team dCode read all messages and answer them if you leave an email (not published). It is thanks to you that dCode has the best Primorial tool. Thank you.

# Primorial

## Primorial Calculator N#

 Definition Product of all prime numbers inferior or equal to N Product of the N first prime numbers

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.

Example: $$4\# = 2 \times 3 \times 5 \times 7 = 210$$

Example:

 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 ... ... ...

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 $$1\# = 1$$

## Source code

dCode retains ownership of the source code of the script Primorial online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, etc.) which dCode owns rights can be transferred after sales quote. So if you need to download the online Primorial script for offline use, for you, your company or association, see you on contact page !

## Questions / Comments

Team dCode read all messages and answer them if you leave an email (not published). It is thanks to you that dCode has the best Primorial tool. Thank you.

Source : http://www.dcode.fr/primorial
© 2017 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaches. dCode