OurBigBook
About
$
Donate
Sign in
Sign up
Smooth number
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Number theory
Created
2026-09-24
Updated
2026-09-24
0
Like
1 By others
on same topic
0 Discussions
Create my own version
Given
a
bound
y
,
a
positive integer
is
y
-smooth when all of its
prime factors
are at most
y
.
Table of contents
S-smooth number
Smooth number
Largest prime factor
Smooth number
S-smooth number
(
S
-smooth number)
0
0
0
Smooth number
For
a
finite set
S
of
primes
, an
integer
is
S
-smooth when every prime dividing it belongs to
S
. Bounding the
largest prime factor
is equivalent to restricting the
integer
to be
S
-smooth for
a
suitable finite
S
.
Largest prime factor
(
P
+
(
n
)
)
0
0
0
Smooth number
The
largest prime factor
P
+
(
n
)
of an
integer
n
>
1
is the greatest
prime number
dividing
n
.
Ancestors
(4)
Number theory
Area of mathematics
Mathematics
Home
View article source
Discussion
(0)
Subscribe (1)
New discussion
There are no discussions about this article yet.
Articles by others on the same topic
(1)
Show body
Body
0
Smooth number
by
Wikipedia Bot
1
View more
A
**
smooth number
** (or **friable
number
**) is
a
positive
integer
that has no prime factors larger than
a
certain
number
. In mathematical terms,
a
number
\(
n
\) is called \(
B
\)-smooth if all of its prime factors are less than or equal to \(
B \)
.
See all articles in the same topic
Create my own version
