# Number Theory — The Queen of Mathematics

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Category: Mathematics
Slides: 13
Updated: 2026-05-15T22:19:42.128Z
Tags: catalog, math, number, theory

## Summary

2 3 “Mathematics is the queen of the sciences, and number theory is the queen of mathematics.” — C. F. Gauss ❦ ❦ Chapter I The Integers §1. The playing field The Integers The integers ℤ = { … , −3, −2, −1, 0, 1, 2, 3, … } form the bedrock of arithmetic — discrete, unbounded, equipped with addition and multiplication. Key sections include: Number Theory; The Integers; The Primes are Infinite; Every Integer is Prime, Uniquely; How to Catch a Prime; The Prime Number Theorem; Modular Arithmetic; Fermat's Little Theorem; Diophantine Equations; Fermat's Last Theorem.

## Slide Outline

1. Number Theory
2. The Integers
3. The Primes are Infinite
4. Every Integer is Prime, Uniquely
5. How to Catch a Prime
6. The Prime Number Theorem
7. Modular Arithmetic
8. Fermat's Little Theorem
9. Diophantine Equations
10. Fermat's Last Theorem
11. Cryptography & Beyond
12. What We Do Not Know
13. Further Reading

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