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title: Number Theory

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{%hackmd @RintarouTW/About %}

# Number Theory

> Math is the queen of science, Number Theory is the queen of math.
[name=Gauss]

Why Number Theory?

Numbers may not be "equal" as we thought. (數字是平等的嗎?)

- Categorize the numbers
  - Natural Number
      - Odd Number
      - Even Number
  - Integer
      - Positive Number
      - Negative Number
      - Prime Numbers
  - Rational/Irrational Number
  - Real Number
  - Imaginary Number
- Study the relations between numbers.
  - How numbers interact with each other?
  ex: Odd $\cdot$ Even $\in$ Even
  - Number Distruction(Representation)/Construction
      - $x\in Z, p_i\in Prime, x = p_1^{k_1}p_2^{k_2}\cdots p_n^{k_n}$
      - common divisors