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# 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