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Best resources to learnModular Arithmetic

Study sheet

This system of arithmetic deals with integers that wrap around a fixed value called a modulus. Learners will understand how to perform modular operations, solve systems of congruences, and apply these concepts to cryptography and computer science.

Where to start

Start with the Art of Problem Solving Wiki - Modular Arithmetic, a free wiki with problems and solutions. If you only use one resource, make it the Number Theory course from UC San Diego on Coursera, which builds from division with remainder and modular arithmetic to Euclid's algorithm and RSA.

5 resources · · How we curate

🎓Courses(1)

course

Number Theory

Four-week UC San Diego course building from division with remainder and modular arithmetic to Euclid's algorithm and RSA. Finishing it, you can encrypt and decrypt messages and break RSA implementations that reuse or mishandle keys.

intermediate🇬🇧

🌐Websites(4)

website

Wikipedia - Modular Arithmetic

Encyclopedia article covering congruence relations, residue classes, modular inverses, and the ring of integers modulo n, with links to Fermat's little theorem and the Chinese remainder theorem. Useful as a reference for checking definitions, notation, and applications in cryptography and computing.

beginner🇬🇧
website

Brilliant.org - Modular Arithmetic

Brilliant's community wiki page on modular arithmetic, explaining congruence notation, addition and multiplication rules, and modular exponentiation through worked examples. Readers practice reducing large expressions mod n and solving short competition-style problems on remainders and divisibility.

beginner🇬🇧
website

Art of Problem Solving Wiki - Modular Arithmetic

Art of Problem Solving's wiki entry on modular arithmetic, written for math-competition students. It defines congruences, shows how to compute with them, and works through AMC and AIME-style problems, so learners can use remainders to solve divisibility and digit problems.

beginner🇬🇧
website

Wolfram MathWorld

MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.

intermediate🇬🇧
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Frequently Asked Questions

Where should I start learning Modular Arithmetic?

Start with the Art of Problem Solving Wiki - Modular Arithmetic, a free wiki with problems and solutions. If you only use one resource, make it the Number Theory course from UC San Diego on Coursera, which builds from division with remainder and modular arithmetic to Euclid's algorithm and RSA.

What are the best free resources to learn Modular Arithmetic?

Dantes has curated 5 resources for Modular Arithmetic, including 1 courses, 4 websites. All resources are hand-picked for quality — no algorithmic filler. Browse the full list above to find the format that works best for you.

Is Modular Arithmetic hard to learn?

Modular Arithmetic is approachable at the beginner level — there are resources here specifically for those starting from scratch. As you progress, intermediate and advanced material is also available to take your skills further.

What types of Modular Arithmetic learning resources are available on Dantes?

For Modular Arithmetic, Dantes has curated 1 courses, 4 websites. Each resource type serves a different learning style: videos and YouTube for visual learners, books for depth, courses for structured progression, and websites for quick reference.

How does Dantes select Modular Arithmetic resources?

Dantes is an algorithm-free learning directory. Resources are hand-curated based on quality, accuracy, and usefulness — not engagement metrics or paid placements. The goal is to surface the best learning material for Modular Arithmetic, whether it's a free YouTube series, a classic textbook, or an open courseware from a top university.

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