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Divisibility & Primes

The study of divisibility & primes.

Sequence of Expressions

Definition

a \mid b

\exists k

s.t.

b = ak

. A prime

p > 1

has no divisors other than 1 and

p

Theorem

Beginner

Every integer greater than

1

either is a prime number itself or can be represented as the product of prime numbers in a unique way, up to the order of the factors.\n

n = p_1^{a_1} p_2^{a_2} \cdots p_k^{a_k}