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.

University of Pittsburgh
Skills you'll gain: Statistical Analysis, NumPy, Probability Distribution, Matplotlib, Statistics, Pandas (Python Package), Data Science, Probability & Statistics, Probability, Statistical Modeling, Predictive Modeling, Data Analysis, Linear Algebra, Predictive Analytics, Statistical Methods, Mathematics and Mathematical Modeling, Applied Mathematics, Python Programming, Machine Learning, Logical Reasoning
Build toward a degree
Beginner · Specialization · 1 - 3 Months

University of California San Diego
Skills you'll gain: Combinatorics, Probability, Probability Distribution, Algorithms, Bayesian Statistics, Mathematical Modeling, Statistics, Arithmetic, Python Programming, Simulations
Beginner · Course · 1 - 3 Months

University of London
Skills you'll gain: Theoretical Computer Science, Computational Logic, Programming Principles, Computer Science, Algorithms, Computational Thinking, Database Theory, Mathematical Modeling, Data Structures, General Mathematics, Applied Mathematics, Business Mathematics, Advanced Mathematics, Logical Reasoning, Problem Solving
Beginner · Course · 1 - 4 Weeks

Princeton University
Skills you'll gain: Combinatorics, Mathematical Theory & Analysis, Advanced Mathematics, Graph Theory, Theoretical Computer Science, Calculus, Probability, Computational Thinking
Intermediate · Course · 1 - 3 Months

University of London
Skills you'll gain: Combinatorics, Probability & Statistics, Data Analysis, Advanced Mathematics, Linear Algebra, Mathematics and Mathematical Modeling, Mathematical Theory & Analysis, Applied Mathematics, Statistics, Analysis, Statistical Analysis, Probability, Algorithms, Algebra
Beginner · Course · 1 - 4 Weeks

The Chinese University of Hong Kong
Skills you'll gain: Communication Systems, Digital Communications, Theoretical Computer Science, Telecommunications, Information Management, Probability, Probability Distribution, Linear Algebra, Digital Signal Processing, Algorithms
Mixed · Course · 3 - 6 Months

University of London
Skills you'll gain: Algorithms, Computational Thinking, Theoretical Computer Science, Programming Principles, Computational Logic, Critical Thinking and Problem Solving, Performance Testing, Computer Science, Data Structures, Critical Thinking, Logical Reasoning, Graph Theory, Complex Problem Solving, Analysis, Game Theory
Intermediate · Course · 1 - 4 Weeks

Stanford University
Skills you'll gain: Game Theory, Mathematical Modeling, Graph Theory, Bayesian Statistics, Behavioral Economics, Probability, Economics, Problem Solving, Algorithms, Probability Distribution
Beginner · Course · 1 - 3 Months

The Hong Kong University of Science and Technology
Skills you'll gain: Computational Logic, Logical Reasoning, Theoretical Computer Science, Deductive Reasoning, Data Structures, Computer Science, Algorithms
Beginner · Course · 1 - 3 Months

Coursera
Skills you'll gain: Risk Analysis, Data-Driven Decision-Making, Strategic Decision-Making, Decision Making, Business Risk Management, Business Analysis, Analytical Skills, Complex Problem Solving, Microsoft Excel, Business Strategy, Probability, Quantitative Research, Mathematical Modeling
Intermediate · Course · 1 - 4 Weeks

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

The Hong Kong University of Science and Technology
Skills you'll gain: Bayesian Statistics, Mathematical Theory & Analysis, Arithmetic, Advanced Mathematics, Deductive Reasoning
Beginner · Course · 1 - 3 Months