📋 Prerequisites: ➕ Arithmetic — Factors & Multiples 🔣 Algebra — Equations Grade 7+
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Elementary

What are Prime Numbers?

Numbers with exactly two factors — 1 and themselves.

Elementary

Factors & Multiples

What divides a number evenly? What are its multiples?

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Elementary

GCD and LCM

Greatest common divisor and lowest common multiple.

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Elementary

Prime Factorisation

Break any number into its prime building blocks.

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Elementary

Rational & Irrational Numbers

What's the difference? Is √2 a fraction?

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Elementary

Divisibility Rules

Quick tricks to check if a number divides evenly.

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🎮 Practice Games — Elementary

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Intermediate

Modular Arithmetic

Clock-style arithmetic — remainders and congruences.

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Intermediate

Number Bases

Binary (base 2), octal (base 8) and hexadecimal (base 16).

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Intermediate

Euclidean Algorithm

An efficient method to find GCD of two numbers.

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Intermediate

Infinite Primes

Euclid's proof that primes never end.

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Intermediate

Perfect Numbers

Numbers equal to the sum of their proper divisors.

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Intermediate

Sieve of Eratosthenes

An ancient algorithm for finding all primes up to N.

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🎮 Practice Games — Intermediate

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Advanced

Diophantine Equations

Equations where only integer solutions are sought.

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Advanced

Congruences & Residues

Solving congruence equations — the backbone of cryptography.

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Advanced

Goldbach's Conjecture

Every even number > 2 is the sum of two primes.

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Advanced

Chinese Remainder Theorem

Solve simultaneous modular congruences.

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Advanced

Quadratic Residues

Which numbers are perfect squares modulo p?

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Advanced

Twin Primes

Primes that differ by 2 — are there infinitely many?

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🎮 Practice Games — Advanced

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University

Fermat's Little Theorem

aᵖ ≡ a (mod p) — a powerful result about primes.

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University

Euler's Totient Function

φ(n) — count integers from 1 to n that are coprime to n.

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University

RSA Cryptography

How prime numbers power the security of the internet.

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University

Riemann Hypothesis

The most famous unsolved problem in mathematics!

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University

Algebraic Number Theory

Number fields, rings of integers and Galois theory.

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University

Analytic Number Theory

Using analysis and calculus to study prime distribution.

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🎮 Practice Games — University

Explore the Deepest Side of Numbers! 🔢

Practice Number Theory with all 4 game types.

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