primorial
Sign in to saveAlso 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.
Wikidata facts
Show 1 more fact
- Commons category
- Primorial function
Sources (2)
via Wikidata · CC0
~7 min read
Article
10 sectionsContents
- 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.
Gallery (4)
Connections
prime number
Entity
mathematics
Entity
International Standard Book Number
Entity
natural number
Entity
function
Entity
number theory
Entity
30
Entity
digital object identifier
Entity
International Standard Serial Number
Entity
24
Entity
factorial
Entity
G.H. Hardy
Entity
composite number
Entity
Riemann zeta function
Entity
if and only if
Entity
binomial coefficient
Entity
192
Entity
Euler's totient function
Entity
2000
Entity
210
Entity