• 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 career credentials while taking courses that count towards your Master’s degree.
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: Preview
    Preview
    J

    Johns Hopkins University

    Foundational Mathematics for AI

    Skills you'll gain: Descriptive Statistics, Linear Algebra, Exploratory Data Analysis, Data-Driven Decision-Making, Data Analysis, Bayesian Statistics, Statistics, Artificial Intelligence and Machine Learning (AI/ML), Artificial Intelligence, Probability, Regression Analysis, Calculus, Statistical Analysis, Advanced Mathematics, Applied Mathematics, Probability Distribution, Mathematical Modeling, Integral Calculus, Algebra, Machine Learning Algorithms

    4.9
    Rating, 4.9 out of 5 stars
    ·
    9 reviews

    Beginner · Course · 1 - 3 Months

  • Status: Free Trial
    Free Trial
    U

    University of Colorado System

    Cryptography and Information Theory

    Skills you'll gain: Cryptography, Encryption, Cybersecurity, Computer Security, Theoretical Computer Science, Information Architecture

    4.5
    Rating, 4.5 out of 5 stars
    ·
    532 reviews

    Intermediate · Course · 1 - 4 Weeks

  • Status: New
    New
    Status: Free Trial
    Free Trial
    B

    Board Infinity

    Quantitative Aptitude Mastery— Exam & Recruitment Prep

    Skills you'll gain: Arithmetic, Complex Problem Solving, Quantitative Research, Applied Mathematics, Advanced Mathematics, Algebra, General Mathematics, Estimation

    Beginner · Course · 1 - 4 Weeks

  • Status: Free
    Free
    P

    Princeton University

    Analytic Combinatorics

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

    4.7
    Rating, 4.7 out of 5 stars
    ·
    71 reviews

    Intermediate · Course · 1 - 3 Months

  • Status: New
    New
    Status: Free Trial
    Free Trial
    M

    Macquarie University

    Cyber Security: Incident Response - Theory to Practice

    Skills you'll gain: Incident Response, Incident Management, Computer Security Incident Management, Cyber Security Strategy, Cyber Attacks, Security Management, Cyber Security Policies, Intrusion Detection and Prevention, Threat Detection, Disaster Recovery, Cybersecurity, Cyber Risk, Cyber Security Assessment, Crisis Management, Threat Management, Business Continuity, Safety and Security, Security Software, Strategic Communication, Regulation and Legal Compliance

    Beginner · Course · 1 - 3 Months

  • Status: New
    New
    Status: Preview
    Preview
    D

    Deep Teaching Solutions

    Making Math Click: Understand Math Without Fear

    Skills you'll gain: Differentiated Instruction, Willingness To Learn, Persistence, Learning Theory, Problem Solving

    4.7
    Rating, 4.7 out of 5 stars
    ·
    17 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
    U

    University of Leeds

    An Introduction to Cryptography

    Skills you'll gain: Cryptographic Protocols, Cryptography, Encryption, Public Key Cryptography Standards (PKCS), Cybersecurity, Data Security

    4.3
    Rating, 4.3 out of 5 stars
    ·
    13 reviews

    Beginner · Course · 1 - 4 Weeks

  • Status: Preview
    Preview
    T

    Tecnológico de Monterrey

    4.- El Cálculo - Otros Modelos

    Skills you'll gain: Advanced Mathematics, Calculus, Applied Mathematics, Mathematical Modeling, Mathematical Theory & Analysis, Algebra, Graphing, Derivatives, Graphical Tools

    4.7
    Rating, 4.7 out of 5 stars
    ·
    209 reviews

    Mixed · Course · 1 - 4 Weeks

  • Status: Free Trial
    Free Trial
    I

    Illinois Tech

    Business Economics and Game Theory for Decision Making

    Skills you'll gain: Game Theory, Market Dynamics, Business Economics, Strategic Decision-Making, Strategic Thinking, Business Strategy, Price Negotiation, Supply And Demand, Economics, Market Analysis, Competitive Analysis, Consumer Behaviour, Profit and Loss (P&L) Management, Policy Analysis

    Build toward a degree

    4.6
    Rating, 4.6 out of 5 stars
    ·
    41 reviews

    Intermediate · Course · 1 - 3 Months

  • Status: New
    New
    Status: Free Trial
    Free Trial
    S

    Skillshare

    Graphic Design Theory - Print Design

    Skills you'll gain: Visual Design, Creative Design

    Beginner · Course · 1 - 3 Months

  • Status: Preview
    Preview
    S

    Shanghai Jiao Tong University

    Discrete Mathematics

    Skills you'll gain: Combinatorics, Graph Theory, Theoretical Computer Science, Mathematical Theory & Analysis, Advanced Mathematics, Network Analysis, Computational Thinking, Algorithms, Data Structures, Computer Science

    3.3
    Rating, 3.3 out of 5 stars
    ·
    200 reviews

    Intermediate · 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
1…678…201

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

  • Foundational Mathematics for AI: Johns Hopkins University
  • Cryptography and Information Theory: University of Colorado System
  • Quantitative Aptitude Mastery— Exam & Recruitment Prep: Board Infinity
  • Analytic Combinatorics: Princeton University
  • Cyber Security: Incident Response - Theory to Practice: Macquarie University
  • Making Math Click: Understand Math Without Fear: Deep Teaching Solutions
  • Foundations of Probability and Random Variables: Johns Hopkins University
  • An Introduction to Cryptography: University of Leeds
  • 4.- El Cálculo - Otros Modelos: Tecnológico de Monterrey
  • Business Economics and Game Theory for Decision Making: Illinois Tech

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