Number Theory: Primes

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Related lectures (30)

Prime Numbers and Algorithms

Covers prime numbers, primality testing algorithms, modular arithmetic, and efficient exponentiation methods.

Mertens' Theorems and Mobius Function

Explores Mertens' theorems on prime estimates and the behavior of the Mobius function in relation to the prime number theorem.

The Riemann Hypothesis

Explores the Riemann Hypothesis, prime numbers, Zeta-function, and quantum mechanics.

Lenstra's Algorithm: Integer Factorization

Covers Lenstra's Algorithm for integer factorization, which efficiently computes prime factors of an integer.

Algebraic Structures: Groups and Rings

Covers groups, rings, number theory, atomic bonds, and materials structure, setting the foundation for further exploration.

Chinese Remainders & RSA

Explores the Chinese Remainders Theorem, RSA public-key cryptosystem, bijective properties, and key generation for encryption and decryption.

Primes in Arithmetic Progression

Explores primes in arithmetic progression, focusing on L-functions, characters, and the divergence of the sum of 1 over p for p congruent to a modulo q.

Number Theory: Division, Remainder, Congruence

Covers number theory, division, remainder, congruence, prime numbers, integer representation, and the Euclidean algorithm.

Primes and Coprime

Explores prime numbers, coprime integers, and their properties in number theory.

Arithmetic Fundamentals: Equivalence and Irreducibility

Covers the fundamental theorem of arithmetic, focusing on equivalence and irreducibility of integers.

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