PlanetMath (more info)
 Math for the people, by the people.
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
Owner confidence rating: High Entry average rating: Very high
rough number (Definition)

A $ k$-rough number is an integer $ n$ having only prime factors greater than or equal to $ k$. A number that is $ k$-rough is thus not a $ k$-smooth number.

For example, 771166905830363 is 7-rough since, in addition to having 7 as a prime factor, it has greater primes as factors. By comparison, 93386641873154605056 is not 7-rough, and is in fact 7-smooth, since all its divisors are 2, 3, and powers of those small primes.



"rough number" is owned by PrimeFan.
(view preamble)

View style:

See Also: smooth number

Log in to rate this entry.
(view current ratings)

Cross-references: divisors, factors, primes, addition, number, prime factors, integer

This is version 3 of rough number, born on 2008-06-26, modified 2008-07-02.
Object id is 10722, canonical name is RoughNumber.
Accessed 222 times total.

Classification:
AMS MSC11A51 (Number theory :: Elementary number theory :: Factorization; primality)

Pending Errata and Addenda
None.
[ View all 1 ]
Discussion
Style: Expand: Order:
forum policy

No messages.

Interact
post | correct | update request | add derivation | add example | add (any)