PRODUCTS
Products Overview
Mathematica
Mathematica Student Edition
Mathematica Home Edition
Wolfram
CDF Player
(free download)
Computable Document Format (CDF)
web
Mathematica
grid
Mathematica
Wolfram
Workbench
Wolfram
SystemModeler
Wolfram
Finance Platform
Mathematica
Add-Ons
Wolfram|Alpha Products
SOLUTIONS
Solutions Overview
Engineering
Aerospace Engineering & Defense
Chemical Engineering
Control Systems
Electrical Engineering
Image Processing
Industrial Engineering
Materials Science
Mechanical Engineering
Operations Research
Optics
Petroleum Engineering
Biotechnology & Medicine
Bioinformatics
Medical Imaging
Finance, Statistics & Business Analysis
Actuarial Sciences
Data Analysis & Mining
Econometrics
Economics
Financial Engineering & Mathematics
Financial Risk Management
Statistics
Software Engineering & Content Delivery
Authoring & Publishing
Interface Development
Software Engineering
Web Development
Science
Astronomy
Biological Sciences
Chemistry
Environmental Sciences
Geosciences
Social & Behavioral Sciences
Design, Arts & Entertainment
Game Design, Special Effects & Generative Art
Education
STEM Education Initiative
Higher Education
Community & Technical College Education
Primary & Secondary Education
Students
Technology
Computable Document Format (CDF)
High-Performance & Parallel Computing (HPC)
See Also: Technology Guide
PURCHASE
Online Store
Other Ways to Buy
Volume & Site Licensing
Contact Sales
Software
Service
Upgrades
Training
Books
Merchandise
SUPPORT
Support Overview
Mathematica
Documentation
Knowledge Base
Learning Center
Technical Services
Community & Forums
Training
Does My Site Have a License?
Wolfram User Portal
COMPANY
About Wolfram Research
News
Events
Wolfram Blog
Partnerships
Employment Opportunities
History of
Mathematica
Stephen Wolfram's Home Page
Contact Us
OUR SITES
All Sites
Wolfram|Alpha
Demonstrations Project
MathWorld
Integrator
Wolfram Functions Site
Mathematica Journal
Wolfram Media
Wolfram
Tones
Wolfram Science
Stephen Wolfram
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE
DOCUMENTATION CENTER
FOR THE LATEST INFORMATION.
DOCUMENTATION CENTER SEARCH
New to
Mathematica
?
Find your learning path
»
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Number Theoretic Functions
>
CoprimeQ
>
BUILT-IN MATHEMATICA SYMBOL
Integer and Number Theoretic Functions
Tutorials »
|
Divisible
GCD
Mod
PrimeQ
EulerPhi
See Also »
|
Integer Functions
Number Theoretic Functions
Prime Numbers
Testing Expressions
New in 6.0: Mathematics & Algorithms
New in 6.0: Number Theory & Integer Functions
More About »
CoprimeQ
CoprimeQ
yields
True
if
and
are relatively prime, and yields
False
otherwise.
CoprimeQ
yields
True
if all pairs of the
are relatively prime, and yields
False
otherwise.
MORE INFORMATION
The
can be Gaussian integers.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
8, 9, and 11 are relatively prime:
8, 9, and 11 are relatively prime:
In[1]:=
Out[1]=
Scope
(2)
CoprimeQ
works with numbers of any size:
CoprimeQ
threads itself element-wise over lists:
Generalizations & Extensions
(1)
Gaussian integers:
Applications
(3)
Plot pairs of numbers that are relatively prime:
Find the fraction of pairs of the first 100 numbers that are relatively prime:
The result is close to
:
Find the first 2x2 block of white squares in the array of coprime numbers:
Neat Examples
(2)
Plot which triples of numbers are relatively prime:
2D slices:
SEE ALSO
Divisible
GCD
Mod
PrimeQ
EulerPhi
TUTORIALS
Integer and Number Theoretic Functions
MORE ABOUT
Integer Functions
Number Theoretic Functions
Prime Numbers
Testing Expressions
New in 6.0: Mathematics & Algorithms
New in 6.0: Number Theory & Integer Functions
New in 6