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Number Theory
by katya ejkova
# Number Theory

## floor function

### relatively prime results

## solving equations

### conditions

### examples

### number of solutions

### new variable floor and arbitrary integers

## arithmetic functions

## sums of squares

### fermat

### rationals

### general solution

### 4^a(8k+7)

## legendre symbol

### quadratic residue

### Gauss's Lemma

### Euler's Criterion

### law of Quadratic Reciprocity

## primality testing

### fermat's numbers

### tests

### carmichael number

## p-adic

### valuations

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pepin

luca

pseudoprimes

miller-rabin

solutions to x^2 = 1 mod n

archimedean

principle of domination

square in Qp