• For Individuals
  • For Businesses
  • For Universities
  • For Governments
Degrees
​
Log In
Join for Free
  • Browse
  • Number Theory

Number Theory Courses

Number theory courses can help you learn prime numbers, divisibility rules, modular arithmetic, and integer properties. You can build skills in problem-solving, logical reasoning, and algorithmic thinking, that support tackling complex mathematical challenges. Many courses introduce tools like Python for implementing algorithms and mathematical software for exploring number patterns, enabling you to apply your knowledge in practical situations such as cryptography and coding theory.


Popular Number Theory Courses and Certifications


  • Status: Free Trial
    Free Trial
    U

    University of California San Diego

    Number Theory and Cryptography

    Skills you'll gain: Cryptography, Encryption, Public Key Cryptography Standards (PKCS), Cybersecurity, Arithmetic, Algorithms, Theoretical Computer Science, Computational Thinking, Algebra, Python Programming

    4.5
    Rating, 4.5 out of 5 stars
    ·
    609 reviews

    Beginner · Course · 1 - 4 Weeks

  • Status: Free Trial
    Free Trial
    U

    University of California San Diego

    Introduction to Discrete Mathematics for Computer Science

    Skills you'll gain: Graph Theory, Logical Reasoning, Combinatorics, Computational Logic, Deductive Reasoning, Cryptography, Probability, Computational Thinking, Encryption, Probability Distribution, Network Analysis, Public Key Cryptography Standards (PKCS), Theoretical Computer Science, Bayesian Statistics, Python Programming, Data Structures, Cybersecurity, Algorithms, Arithmetic, Visualization (Computer Graphics)

    4.5
    Rating, 4.5 out of 5 stars
    ·
    3.7K reviews

    Beginner · Specialization · 3 - 6 Months

  • Status: New
    New
    Status: Preview
    Preview
    B

    Birla Institute of Technology & Science, Pilani

    Cryptography

    Skills you'll gain: Application Security, Cybersecurity, Email Security, Identity and Access Management, Firewall

    Intermediate · Course · 1 - 3 Months

  • Status: New
    New
    Status: Free Trial
    Free Trial
    T

    The Hong Kong University of Science and Technology

    Discrete Mathematical Tools for Computer Science

    Skills you'll gain: Probability, Computational Logic, Combinatorics, Bayesian Statistics, Algorithms, Theoretical Computer Science, Mathematical Software, Mathematical Theory & Analysis, Cryptography, Logical Reasoning, Deductive Reasoning, Computational Thinking, Computer Science, Encryption, Data Structures, Arithmetic, General Mathematics, Public Key Cryptography Standards (PKCS), Problem Solving, Cybersecurity

    Beginner · Specialization · 3 - 6 Months

  • Status: New
    New
    Status: Free Trial
    Free Trial
    U

    University of London

    Essential Mathematics for Computer Science

    Skills you'll gain: Computational Logic, Algorithms, Applied Mathematics, Advanced Mathematics, Mathematics and Mathematical Modeling, Deductive Reasoning, Mathematical Theory & Analysis, Trigonometry, Statistics, General Mathematics, Analysis, Graphing, Computer Science, Mathematical Modeling, Programming Principles, Business Mathematics, Business Logic, Algebra, Arithmetic, Problem Solving

    Build toward a degree

    Beginner · Specialization · 3 - 6 Months

  • Status: Free Trial
    Free Trial
    J

    Johns Hopkins University

    Linear Algebra from Elementary to Advanced

    Skills you'll gain: Linear Algebra, Algebra, Applied Mathematics, Advanced Mathematics, Artificial Intelligence and Machine Learning (AI/ML), Mathematical Modeling, Engineering Analysis, Mathematical Theory & Analysis, Numerical Analysis, Geometry, Data Transformation, Applied Machine Learning, Dimensionality Reduction, Markov Model, Probability

    4.7
    Rating, 4.7 out of 5 stars
    ·
    227 reviews

    Beginner · Specialization · 3 - 6 Months

What brings you to Coursera today?

  • Status: Preview
    Preview
    S

    Stanford University

    Introduction to Mathematical Thinking

    Skills you'll gain: Mathematical Theory & Analysis, Mathematics and Mathematical Modeling, Calculus, Deductive Reasoning, Logical Reasoning

    4.8
    Rating, 4.8 out of 5 stars
    ·
    3K reviews

    Intermediate · Course · 1 - 3 Months

  • Status: New
    New
    Status: Preview
    Preview
    U

    Universitat Politècnica de València

    Basic Math: Numbers and Terminology

    Skills you'll gain: Taxonomy, Deductive Reasoning, Applied Mathematics

    Beginner · Course · 1 - 4 Weeks

  • Status: New
    New
    Status: Free Trial
    Free Trial
    T

    The Hong Kong University of Science and Technology

    Discrete Math for Computer Science - Algorithms & Recursion

    Skills you'll gain: Cryptography, Algorithms, Theoretical Computer Science, Mathematical Theory & Analysis, Arithmetic, Computational Thinking, Public Key Cryptography Standards (PKCS), Data Structures, Applied Mathematics, Logical Reasoning, Deductive Reasoning

    Beginner · Course · 1 - 3 Months

  • Status: Free Trial
    Free Trial
    U

    University of Colorado Boulder

    Foundations of Probability and Statistics

    Skills you'll gain: Probability, Statistical Inference, Estimation, Probability & Statistics, Statistical Methods, Probability Distribution, Statistics, Markov Model, Data Literacy, Statistical Analysis, Sampling (Statistics), Applied Mathematics, Artificial Intelligence, Generative AI, Data Analysis, Data Science, Theoretical Computer Science, Machine Learning Algorithms, Mathematical Theory & Analysis

    Build toward a degree

    4.4
    Rating, 4.4 out of 5 stars
    ·
    347 reviews

    Intermediate · Specialization · 3 - 6 Months

  • Status: Free Trial
    Free Trial
    U

    University of California San Diego

    Introduction to Graph Theory

    Skills you'll gain: Graph Theory, Combinatorics, Network Analysis, Data Structures, Visualization (Computer Graphics), Algorithms, Mathematical Theory & Analysis, Theoretical Computer Science, Program Development

    4.5
    Rating, 4.5 out of 5 stars
    ·
    1.1K reviews

    Beginner · Course · 1 - 3 Months

  • Status: Free
    Free
    P

    Princeton University

    Analytic Combinatorics

    Skills you'll gain: Combinatorics, Mathematical Theory & Analysis, Advanced Mathematics, Graph Theory, Theoretical Computer Science, Calculus, Probability, Computational Thinking

    4.6
    Rating, 4.6 out of 5 stars
    ·
    73 reviews

    Intermediate · Course · 1 - 3 Months

1234…270

In summary, here are 10 of our most popular number theory courses

  • Number Theory and Cryptography: University of California San Diego
  • Introduction to Discrete Mathematics for Computer Science: University of California San Diego
  • Cryptography: Birla Institute of Technology & Science, Pilani
  • Discrete Mathematical Tools for Computer Science: The Hong Kong University of Science and Technology
  • Essential Mathematics for Computer Science: University of London
  • Linear Algebra from Elementary to Advanced: Johns Hopkins University
  • Introduction to Mathematical Thinking: Stanford University
  • Basic Math: Numbers and Terminology: Universitat Politècnica de València
  • Discrete Math for Computer Science - Algorithms & Recursion: The Hong Kong University of Science and Technology
  • Foundations of Probability and Statistics: University of Colorado Boulder

Skills you can learn in Machine Learning

Python Programming (33)
Tensorflow (32)
Deep Learning (30)
Artificial Neural Network (24)
Big Data (18)
Statistical Classification (17)
Reinforcement Learning (13)
Algebra (10)
Bayesian (10)
Linear Algebra (10)
Linear Regression (9)
Numpy (9)

Frequently Asked Questions about Number Theory

Number theory is a branch of mathematics that deals with the properties and relationships of numbers, particularly integers. It is important because it forms the foundation for various fields, including cryptography, computer science, and algebra. Understanding number theory can enhance problem-solving skills and logical reasoning, which are essential in many scientific and technological applications.‎

Careers related to number theory often involve roles in data analysis, cryptography, and algorithm development. Positions such as data scientist, cryptographer, and mathematician are common. Additionally, industries like finance, cybersecurity, and academia value expertise in number theory, making it a versatile skill set for various job opportunities.‎

To learn number theory effectively, you should focus on developing strong analytical skills, mathematical reasoning, and problem-solving abilities. Familiarity with algebra and basic calculus can also be beneficial. Additionally, programming skills, particularly in languages like Python, can enhance your ability to apply number theory concepts in practical scenarios.‎

Some of the best online courses for number theory include Number Theory and Cryptography, which explores the connections between number theory and cryptographic applications. These courses often provide a mix of theoretical knowledge and practical exercises to help learners grasp complex concepts.‎

Yes. You can start learning number theory on Coursera for free in two ways:

  1. Preview the first module of many number theory courses at no cost. This includes video lessons, readings, graded assignments, and Coursera Coach (where available).
  2. Start a 7-day free trial for Specializations or Coursera Plus. This gives you full access to all course content across eligible programs within the timeframe of your trial.

If you want to keep learning, earn a certificate in number theory, or unlock full course access after the preview or trial, you can upgrade or apply for financial aid.‎

To learn number theory, start by exploring introductory courses that cover basic concepts and gradually progress to more advanced topics. Engage with practice problems and real-world applications to reinforce your understanding. Joining study groups or online forums can also provide support and enhance your learning experience.‎

Typical topics covered in number theory courses include prime numbers, divisibility, modular arithmetic, and theorems such as the Fundamental Theorem of Arithmetic. Advanced courses may also explore topics like Diophantine equations, number patterns, and applications in cryptography and computer science.‎

For training and upskilling employees, courses like Number Theory and Cryptography are particularly beneficial. They provide practical applications of number theory in fields such as cybersecurity and data protection, making them valuable for professionals looking to enhance their skills in a technology-driven environment.‎

This FAQ content has been made available for informational purposes only. Learners are advised to conduct additional research to ensure that courses and other credentials pursued meet their personal, professional, and financial goals.

Other topics to explore

Arts and Humanities
338 courses
Business
1095 courses
Computer Science
668 courses
Data Science
425 courses
Information Technology
145 courses
Health
471 courses
Math and Logic
70 courses
Personal Development
137 courses
Physical Science and Engineering
413 courses
Social Sciences
401 courses
Language Learning
150 courses

Coursera Footer

Skills

  • Accounting
  • Artificial Intelligence (AI)
  • Cybersecurity
  • Data Analytics
  • Digital Marketing
  • Human Resources (HR)
  • Microsoft Excel
  • Project Management
  • Python
  • SQL

Professional Certificates

  • Google AI Certificate
  • Google Cybersecurity Certificate
  • Google Data Analytics Certificate
  • Google IT Support Certificate
  • Google Project Management Certificate
  • Google UX Design Certificate
  • IBM AI Engineering Certificate
  • IBM AI Product Manager Certificate
  • IBM Data Science Certificate
  • Intuit Academy Bookkeeping Certificate

Courses & Specializations

  • AI Essentials Specialization
  • AI For Business Specialization
  • AI For Everyone Course
  • AI in Healthcare Specialization
  • Deep Learning Specialization
  • Excel Skills for Business Specialization
  • Financial Markets Course
  • Machine Learning Specialization
  • Prompt Engineering for ChatGPT Course
  • Python for Everybody Specialization

Career Resources

  • Career Aptitude Test
  • CAPM Certification Requirements
  • CompTIA A+ Certification Requirements
  • CompTIA Security+ Certification Requirements
  • Essential IT Certifications
  • Free IT Certifications and Courses
  • High-Income Skills to Learn
  • How to Learn Artificial Intelligence
  • PMP Certification Requirements
  • Popular Cybersecurity Certifications

Coursera

  • About
  • What We Offer
  • Leadership
  • Careers
  • Catalog
  • Coursera Plus
  • Professional Certificates
  • MasterTrack® Certificates
  • Degrees
  • For Enterprise
  • For Government
  • For Campus
  • Become a Partner
  • Social Impact
  • Free Courses
  • Share your Coursera learning story

Community

  • Learners
  • Partners
  • Beta Testers
  • Blog
  • The Coursera Podcast
  • Tech Blog

More

  • Press
  • Investors
  • Terms
  • Privacy
  • Help
  • Accessibility
  • Contact
  • Articles
  • Directory
  • Affiliates
  • Modern Slavery Statement
  • Do Not Sell/Share
Learn Anywhere
Download on the App Store
Get it on Google Play
Logo of Certified B Corporation
© 2026 Coursera Inc. All rights reserved.
  • Coursera Facebook
  • Coursera Linkedin
  • Coursera Twitter
  • Coursera YouTube
  • Coursera Instagram
  • Coursera TikTok