# Prime number

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## Documents

### Quadratic Reciprocity

This is a reference document on Quadratic Reciprocity by Fengyang Wang. It covers a subset of the material of PMATH 340 or PMATH 440.

## Talk Suggestions

### Costas Arrays

Permutation matrices for which all $\frac{n(n-1)}{2}$ displacements between all pairs of 1s are distinct are known as Costas arrays, and these have important applications in sonar. The Welch construction of Costas arrays uses concepts from number theory, whereas the Lempel-Golomb construction uses concepts from field theory.

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algebra field theory number theory prime number

### Distribution of Primes Modulo p

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number theory open problem prime number

### Patterns in Primes

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first year friendly number theory prime number

### The Riemann Hypothesis

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