Number Theory: Fundamental Concepts

Related lectures (30)

Explores multicorrelation sequences, primes, and their intricate connections in number theory and ergodic theory.

Explores Fermat's Little Theorem, its extensions, primality testing algorithms, and the significance of prime numbers in cryptography.

Covers the definition of a function to determine if a given number is prime.

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

Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.

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

Explores the proof of the Prime Number Theorem and its implications in number theory.

Explores well ordering, induction, Euclidean division, and prime factorization in integers.

Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.

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

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