Number Theory: Fundamental Concepts

Related lectures (30)

Page 2 of 3

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

Covers examples of modular exponentiation, complexities, Lame's Theorem, Collatz Conjecture, and prime numbers.

Covers prime numbers, unique decomposition of natural numbers into prime factors, and practical implications for calculations.

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

Introduces lazy lists for computing infinite sequences like prime numbers.

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

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

Covers GCD, LCM, and the Euclidean algorithm for efficient computation of GCD.