Primes and Coprime

Related lectures (28)

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Explores the history and concepts of Number Theory, including divisibility and congruence relations.

Covers the basics of Shor's algorithm for factoring integers and the steps involved in the quantum algorithm.

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

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

Covers prime numbers, RSA cryptography, and primality testing, including the Chinese Remainder Theorem and the Miller-Rabin test.

Delves into the complexity of factoring polynomials and the implications for security.

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

Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.

Introduces deterministic approaches to identify prime numbers and covers algorithms and modular arithmetic for prime number testing.

Covers Shor's factoring algorithm, aiming to find integer factors efficiently using quantum computation.