Fundamental Theorem of Arithmetic

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Covers polynomial factorization, irreducible polynomials, ideal decomposition, and the theorem of Bézout.

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

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

Explores Gaussian integers, prime factorization, and number theory concepts related to prime numbers.

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

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

Explores the Euclidean algorithm, Bézout's identity, extended Euclid algorithm, and commutative groups in mathematics.

Covers the calculation in rational numbers, focusing on GCD and LCM.

Explores primes, the Fundamental Theorem of Arithmetic, trial division, the Sieve of Eratosthenes, and Euclid's Theorem.