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

Number Theory Courses Online

Learn number theory for mathematical research and applications. Understand prime numbers, divisibility, and modular arithmetic.

Skip to search results

Filter by

Subject
Required
 *

Language
Required
 *

The language used throughout the course, in both instruction and assessments.

Learning Product
Required
 *

Build job-relevant skills in under 2 hours with hands-on tutorials.
Learn from top instructors with graded assignments, videos, and discussion forums.
Learn a new tool or skill in an interactive, hands-on environment.
Get in-depth knowledge of a subject by completing a series of courses and projects.
Earn career credentials from industry leaders that demonstrate your expertise.
Earn your Bachelor’s or Master’s degree online for a fraction of the cost of in-person learning.
Earn a university-issued career credential in a flexible, interactive format.

Level
Required
 *

Duration
Required
 *

Skills
Required
 *

Subtitles
Required
 *

Educator
Required
 *

Explore the Number Theory Course Catalog

  • Status: Free Trial
    Free Trial
    B

    Birla Institute of Technology & Science, Pilani

    Basic Engineering Mathematics

    Skills you'll gain: Engineering Calculations, Trigonometry, Engineering Analysis, Linear Algebra, Calculus, Differential Equations, Mathematical Modeling, Mathematical Theory & Analysis, Applied Mathematics, Algebra

    4.6
    Rating, 4.6 out of 5 stars
    ·
    158 reviews

    Beginner · Course · 1 - 3 Months

  • Status: Free Trial
    Free Trial
    J

    Johns Hopkins University

    Calculus through Data & Modelling: Series and Integration

    Skills you'll gain: Calculus, Integral Calculus, Advanced Mathematics, Mathematical Theory & Analysis, Applied Mathematics, Numerical Analysis, Mathematical Modeling

    4.9
    Rating, 4.9 out of 5 stars
    ·
    54 reviews

    Intermediate · Course · 1 - 3 Months

  • Status: Free Trial
    Free Trial
    U

    University of London

    Mathematics for Computer Science

    Skills you'll gain: Arithmetic, Computer Graphics, Computational Thinking, General Mathematics, Systems Of Measurement, Algebra, Cryptography

    4.2
    Rating, 4.2 out of 5 stars
    ·
    262 reviews

    Beginner · Course · 1 - 4 Weeks

  • J

    Johns Hopkins University

    The Mathematics of Democracy, Politics and Manipulation

    Skills you'll gain: Political Sciences, Policy Analysis, Social Justice, Social Sciences, Public Policies, Game Theory, Demography, Logical Reasoning, Applied Mathematics

    5
    Rating, 5 out of 5 stars
    ·
    21 reviews

    Mixed · Course · 1 - 3 Months

  • Status: Preview
    Preview
    B

    Berklee

    Piano Techniques for Modern Music

    Skills you'll gain: Music Theory, Music, Instrumental Music, Music Performance, Creativity, Coordination

    5
    Rating, 5 out of 5 stars
    ·
    23 reviews

    Beginner · Course · 1 - 3 Months

  • Status: Preview
    Preview
    U

    University of Zurich

    An Intuitive Introduction to Probability

    Skills you'll gain: Probability, Probability Distribution, Probability & Statistics, Statistics, Descriptive Statistics, Applied Mathematics, Risk Analysis, Finance

    4.8
    Rating, 4.8 out of 5 stars
    ·
    1.9K reviews

    Beginner · Course · 1 - 3 Months

  • Status: Preview
    Preview
    H

    H2O.ai

    H2O.ai Agents : From Theory to Practice

    Skills you'll gain: Generative AI Agents, LLM Application, Agentic systems, Artificial Intelligence and Machine Learning (AI/ML), Generative AI, Artificial Intelligence, Tool Calling, AI Product Strategy, Large Language Modeling, Responsible AI, Decision Support Systems, Application Deployment, Performance Testing

    4.4
    Rating, 4.4 out of 5 stars
    ·
    48 reviews

    Intermediate · Course · 1 - 3 Months

  • U

    University of Maryland, College Park

    Cryptography

    Skills you'll gain: Cryptography, Encryption, Public Key Cryptography Standards (PKCS), Cybersecurity, Digital Communications, Authentications, Data Integrity, Algorithms, Computer Science

    4.6
    Rating, 4.6 out of 5 stars
    ·
    1.3K reviews

    Mixed · Course · 1 - 3 Months

  • Status: Free Trial
    Free Trial
    J

    Johns Hopkins University

    Linear Algebra: Matrix Algebra, Determinants, & Eigenvectors

    Skills you'll gain: Linear Algebra, Applied Mathematics, Algebra, Advanced Mathematics, Graph Theory, Geometry, Applied Machine Learning, Markov Model, Probability

    4.8
    Rating, 4.8 out of 5 stars
    ·
    73 reviews

    Mixed · Course · 1 - 3 Months

  • Status: Free Trial
    Free Trial
    D

    Duke University

    Risk Management and Financial Theory

    Skills you'll gain: Risk Management, Business Risk Management, Credit Risk, Risk Mitigation, Stakeholder Communications, Operational Risk, Proposal Development, Risk Analysis, Business Strategies, Financial Analysis, Financial Modeling, Organizational Strategy, Strategic Thinking, Strategic Decision-Making

    4.7
    Rating, 4.7 out of 5 stars
    ·
    32 reviews

    Beginner · Course · 1 - 4 Weeks

  • Status: Free Trial
    Free Trial
    J

    Johns Hopkins University

    Foundations of Probability and Random Variables

    Skills you'll gain: R Programming, Statistical Analysis, Combinatorics, Data Analysis, Probability, Statistics, Probability Distribution, Probability & Statistics, Bayesian Statistics, Applied Mathematics, Data Science, Artificial Intelligence and Machine Learning (AI/ML), Simulations

    Intermediate · Course · 1 - 3 Months

  • Status: Preview
    Preview
    T

    The University of Edinburgh

    Fundamentals of Music Theory

    Skills you'll gain: Music Theory, Music, Classical Music, Musical Composition

    4.5
    Rating, 4.5 out of 5 stars
    ·
    1.8K reviews

    Beginner · Course · 1 - 3 Months

Number Theory learners also search

Game Theory
Business Analysis
Market Research
Economic Policy
Marketing Analytics
Business Statistics
Business English
Business Calculus
1234…207

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

  • Basic Engineering Mathematics: Birla Institute of Technology & Science, Pilani
  • Calculus through Data & Modelling: Series and Integration: Johns Hopkins University
  • Mathematics for Computer Science: University of London
  • The Mathematics of Democracy, Politics and Manipulation: Johns Hopkins University
  • Piano Techniques for Modern Music: Berklee
  • An Intuitive Introduction to Probability: University of Zurich
  • H2O.ai Agents : From Theory to Practice: H2O.ai
  • Cryptography: University of Maryland, College Park
  • Linear Algebra: Matrix Algebra, Determinants, & Eigenvectors: Johns Hopkins University
  • Risk Management and Financial Theory: Duke University

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)

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

  • Artificial Intelligence (AI)
  • Cybersecurity
  • Data Analytics
  • Digital Marketing
  • English Speaking
  • Generative AI (GenAI)
  • Microsoft Excel
  • Microsoft Power BI
  • Project Management
  • Python

Certificates & Programs

  • Google Cybersecurity Certificate
  • Google Data Analytics Certificate
  • Google IT Support Certificate
  • Google Project Management Certificate
  • Google UX Design Certificate
  • IBM Data Analyst Certificate
  • IBM Data Science Certificate
  • Machine Learning Certificate
  • Microsoft Power BI Data Analyst Certificate
  • UI / UX Design Certificate

Industries & Careers

  • Business
  • Computer Science
  • Data Science
  • Education & Teaching
  • Engineering
  • Finance
  • Healthcare
  • Human Resources (HR)
  • Information Technology (IT)
  • Marketing

Career Resources

  • Career Aptitude Test
  • Examples of Strengths and Weaknesses for Job Interviews
  • High-Income Skills to Learn
  • How Does Cryptocurrency Work?
  • How to Highlight Duplicates in Google Sheets
  • How to Learn Artificial Intelligence
  • Popular Cybersecurity Certifications
  • Preparing for the PMP Certification
  • Signs You Will Get the Job After an Interview
  • What Is Artificial Intelligence?

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
  • Manage Cookie Preferences
Learn Anywhere
Download on the App Store
Get it on Google Play
Logo of Certified B Corporation
© 2025 Coursera Inc. All rights reserved.
  • Coursera Facebook
  • Coursera Linkedin
  • Coursera Twitter
  • Coursera YouTube
  • Coursera Instagram
  • Coursera TikTok