L Lattice Number Theory Lab

Numbers Have Secrets

Discover the hidden patterns of primes, explore modular arithmetic, and see how number theory powers modern cryptography.

Explore Numbers

What We Offer

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Prime Explorer

Visualize prime distributions, twin primes, prime gaps, and the Sieve of Eratosthenes interactively.

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Modular Calculator

Perform modular arithmetic operations, solve linear congruences, and compute modular inverses.

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RSA Demo

Generate RSA key pairs, encrypt and decrypt messages, and see the number theory that makes it secure.

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Pattern Visualizer

Explore Fibonacci numbers, perfect numbers, Pythagorean triples, and continued fractions visually.

Primes & Divisibility

Study the Fundamental Theorem of Arithmetic, Sieve of Eratosthenes, GCD, LCM, Euclidean algorithm, and properties of prime numbers.

Modular Arithmetic

Master congruences, modular exponentiation, Fermat's Little Theorem, Euler's theorem, Chinese Remainder Theorem, and quadratic residues.

Cryptographic Applications

Understand RSA encryption, Diffie-Hellman key exchange, digital signatures, and how number theory secures online communication.

1,800+
Problems
60+
Interactive Tools
25+
Proofs to Master
4.9/5
Student Rating

What Learners Say

Seeing RSA encryption depend on factoring difficulty made abstract number theory immediately interesting.
Dr. Feng, Mathematics
The prime visualizer showed patterns I never noticed. Number theory is way more beautiful than I expected.
Amara J., Grade 12