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.

Princeton University
Skills you'll gain: Theoretical Computer Science, Data Structures, Computer Science, Computer Architecture, Computer Systems, Algorithms, Computer Programming, Computational Logic, Java Programming, Computer Hardware, Scalability
Intermediate · Course · 1 - 3 Months

Princeton University
Skills you'll gain: Combinatorics, Mathematical Theory & Analysis, Advanced Mathematics, Theoretical Computer Science, Calculus, Mathematics and Mathematical Modeling, Integral Calculus, Applied Mathematics
Intermediate · Course · 1 - 3 Months

The Chinese University of Hong Kong
Skills you'll gain: Communication Systems, Digital Communications, Theoretical Computer Science, Telecommunications, Informatics, Probability, Probability Distribution, Algorithms, Model Optimization
Mixed · Course · 3 - 6 Months

Skills you'll gain: Technical Analysis, Market Trend, Market Data, Trend Analysis, Financial Trading, Market Analysis, Market Dynamics
Mixed · Course · 1 - 4 Weeks

John Wiley & Sons
Skills you'll gain: Pain Management, Healthcare Project Management, Patient Flow, Nursing Management, Value-Based Care, Patient-centered Care, Patient Safety, Health Policy, Nursing, Health Care, Mental and Behavioral Health, Substance Abuse, Healthcare Industry Knowledge, Cultural Responsiveness, Continuous Quality Improvement (CQI), Cultural Sensitivity, Infection Control, Surveys, Data Analysis, Leadership
Intermediate · Course · 1 - 3 Months

University of London
Skills you'll gain: Computational Logic, Algorithms, Arithmetic, Applied Mathematics, Advanced Mathematics, Mathematics and Mathematical Modeling, Deductive Reasoning, Mathematical Theory & Analysis, Trigonometry, Geometry, Statistics, General Mathematics, Graphing, Computer Science, Mathematical Modeling, Programming Principles, Business Mathematics, Business Logic, Algebra, Problem Solving
Build toward a degree
Beginner · Specialization · 3 - 6 Months

Skills you'll gain: Python Programming, Program Development, Game Design, Code Reusability, Computer Programming, Programming Principles, Functional Design, Development Environment, Computational Logic, Building Codes
Beginner · Course · 1 - 4 Weeks

Johns Hopkins University
Skills you'll gain: Algebra, Graphing, Applied Mathematics, Mathematical Modeling, Trigonometry, Probability, Advanced Mathematics, Data Analysis, Probability & Statistics, Data Literacy, Statistical Analysis, Logical Reasoning, Probability Distribution, Mathematical Theory & Analysis, Descriptive Statistics, Arithmetic, Statistics, Engineering Calculations, Calculus, Analytical Skills
Beginner · Specialization · 3 - 6 Months

Berklee
Skills you'll gain: Music Theory, Music, Musical Composition, Music Performance, Instrumental Music, Performing Arts, Creativity, Coordination, Mental Concentration
Beginner · Specialization · 3 - 6 Months

Birla Institute of Technology & Science, Pilani
Skills you'll gain: Data Analysis, Computational Logic, Integral Calculus, Trigonometry, Linear Algebra, Engineering Analysis, Logical Reasoning, Deductive Reasoning, Probability & Statistics, Statistical Analysis, Calculus, Statistical Methods, Analysis, Advanced Mathematics, Bayesian Statistics, Statistical Inference, Theoretical Computer Science, Mathematics and Mathematical Modeling, Numerical Analysis, Descriptive Analytics
Beginner · Specialization · 3 - 6 Months

University of Colorado System
Skills you'll gain: Data Encryption Standard, Public Key Infrastructure, Cryptography, Brute-force attacks, Key Management, Advanced Encryption Standard (AES), Cryptographic Protocols, Encryption, Data Integrity, Cybersecurity, Computer Security, Information Assurance, Authentications, Data Security, Theoretical Computer Science, Public Key Cryptography Standards (PKCS), Threat Modeling, Communication Systems, Algorithms, Digital Communications
Intermediate · Specialization · 3 - 6 Months

University of North Texas
Skills you'll gain: Arithmetic, Graphing, Geometry, Statistics, Algebra, Descriptive Statistics, General Mathematics, Applied Mathematics, Statistical Visualization
Beginner · Course · 1 - 4 Weeks