Numbers are the language of the universe. While many see them as mere tools for counting, **Number Theory** reveals a hidden architecture—a world of patterns, symmetry, and unsolved mysteries. Often called "The Queen of Mathematics," it is the study of integers and their properties. Join me, Jayanta Majumder, as we explore the elegant logic behind the digits.

01 The Mystery of Prime Numbers

Primes are the "atoms" of the mathematical world. Every number greater than 1 is either a prime or can be made by multiplying primes together. Yet, despite thousands of years of study, we still cannot predict exactly where the next prime number will appear. They are scattered like stars—seemingly random, yet obeying a hidden law.

02 Modular Arithmetic: Clock Math

Have you ever noticed that 10 o'clock plus 5 hours isn't 15 o'clock? It's 3 o'clock. This is **Modular Arithmetic**. It is the math of remainders, and it is the backbone of modern digital security. Every time you buy something online, Number Theory is encrypting your credit card data using the properties of large prime numbers.

03 Fermat’s Last Theorem

For 358 years, mathematicians were haunted by a note left in the margin of a book by Pierre de Fermat. He claimed that the equation:

...has no integer solutions for n greater than 2. It wasn't until 1994 that Andrew Wiles finally proved it. This journey shows that in Number Theory, simple questions often require the most profound answers.

"Mathematics is the queen of the sciences and number theory is the queen of mathematics." — Carl Friedrich Gauss