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primorial
EntityQ1071077· pop 32· linked from 266 articles

Also known as Pn#

In mathematics, and more particularly in number theory, primorial, denoted by "p_{n}\#", is a function from natural numbers to natural numbers similar to the factorial function, but rather than successively multiplying positive integers, the function only multiplies prime numbers.

~7 min read

Encyclopedic overview

10 sections
Contents
  • Definition for prime numbers
  • Definition for natural numbers
  • Properties
  • Applications
  • Compositorial
  • Riemann zeta function
  • Table of primorials
  • See also
  • Notes
  • References

In mathematics, and more particularly in number theory, primorial, denoted by "p_{n}\#", is a function from natural numbers to natural numbers similar to the factorial function, but rather than successively multiplying positive integers, the function only multiplies prime numbers.

The name "primorial", coined by Harvey Dubner, draws an analogy to primes similar to the way the name "factorial" relates to factors.

Excerpted from Wikipedia’s “primorial” article, available under the CC BY-SA 4.0 licence.

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