Number Theory

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Number Theory by Mind Map: Number Theory

1. floor function

1.1. relatively prime results

2. solving equations

2.1. conditions

2.2. examples

2.3. number of solutions

2.4. new variable floor and arbitrary integers

3. arithmetic functions

4. sums of squares

4.1. fermat

4.2. rationals

4.3. general solution

4.4. 4^a(8k+7)

5. legendre symbol

5.1. quadratic residue

5.2. Gauss's Lemma

5.3. Euler's Criterion

5.4. law of Quadratic Reciprocity

6. primality testing

6.1. fermat's numbers

6.1.1. pepin

6.2. tests

6.2.1. luca

6.2.2. pseudoprimes

6.2.3. miller-rabin

6.2.4. solutions to x^2 = 1 mod n

6.3. carmichael number

7. p-adic

7.1. valuations

7.1.1. archimedean

7.1.2. principle of domination

7.1.3. square in Qp