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  • https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Elementary_Number_Theory_(Barrus_and_Clark)/01%3A_Chapters/1.02%3A_Basic_Axioms_for_Z
    \[\begin{aligned} \mathbb{N} &=\{1,2,3,\cdots\} \quad \text{(the set of }\textbf{natural numbers}\text{ or positive integers)} \\ \mathbb{Z} &=\{\cdots,-3,-2,-1,0,1,2,3,\cdots\} \quad\text{(the set of...\[\begin{aligned} \mathbb{N} &=\{1,2,3,\cdots\} \quad \text{(the set of }\textbf{natural numbers}\text{ or positive integers)} \\ \mathbb{Z} &=\{\cdots,-3,-2,-1,0,1,2,3,\cdots\} \quad\text{(the set of }\textbf{integers}) \\ \mathbb{Q} &=\left\{ \frac{n}{m} \mid n,m\in\mathbb{Z}\text{ and }m\neq 0\right\} \quad \text{(the set of }\textbf{rational numbers}) \\ \mathbb{R} &=\text{the set of }\textbf{real numbers}\\ \mathbb{C} &= \left\{a+bi \mid a,b \in \mathbb{R} \right\} \quad \text{(the set of …
  • https://math.libretexts.org/Under_Construction/Stalled_Project_(Not_under_Active_Development)/Book%3A_A_Computational_Introduction_to_Number_Theory_and_Algebra_(Shoup)/01%3A_Basic_Properties_of_the_Integers/1.01%3A_Divisibility_and_Primality
    If a divides b, we write ab, and we may say that a is a divisor of b, or that b is a multiple of a, or that b is a divisible of a. For example, aa b...If a divides b, we write ab, and we may say that a is a divisor of b, or that b is a multiple of a, or that b is a divisible of a. For example, aa because we can write a1=a; 1a because we can write 1a=a; a0 because we can write a0=0.

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