Number Theory – Theory
Welcome to the fascinating world of number theory! This section dives into the core ideas that underpin this beautiful branch of mathematics. Don’t worry if you’re feeling a bit intimidated – we’ll explore the fundamental concepts in a clear, approachable way, building a solid foundation for understanding the amazing properties of numbers. Let’s get started!
Understanding the Modular Inverse - A Devs Guide with Examples
#cryptography#number theory#algorithms#modular arithmetic#python#discrete mathematics
Dive deep into the modular inverse, a fundamental concept in number theory and cryptography. Learn its definition, discover methods like the Extended Euclidean Algorithm and Fermat's Little Theorem, and see practical Python examples.
June 18, 2025
Understanding the Chinese Remainder Theorem (CRT) for Developers
#Number Theory#Algorithm#Cryptography#Modular Arithmetic#Python#Math
Dive deep into the Chinese Remainder Theorem. Learn its principles, how to solve it step-by-step, and implement it in Python with practical examples for developers.
June 18, 2025
Understanding Prime Factorization - A Developers Guide
#Mathematics#Algorithms#Number Theory#Python#Bash#Security
Dive deep into prime factorization, a fundamental concept in number theory with surprising applications in computer science, from cryptography to optimization. Learn by example with Python and Bash.
June 18, 2025
Understanding Fermats Little Theorem for Developers
#Mathematics#Number Theory#Cryptography#Python#Algorithms#Primality Testing
Dive into Fermat's Little Theorem, a foundational concept in number theory with surprising applications in cryptography and primality testing. Learn its mechanics, practical uses, and limitations with Python and Bash examples.
June 18, 2025
The Sieve of Eratosthenes - Finding Primes Like a Pro
#Algorithms#Prime Numbers#Number Theory#Python#Go#Golang#C++#Optimization#Data Structures#Computer Science
Dive deep into the Sieve of Eratosthenes, an ancient yet highly efficient algorithm for finding all prime numbers up to a specified limit. Learn its mechanics, optimize implementations in Python, Go, and C++, and understand its practical applications and limitations.
June 18, 2025
Solving Linear Diophantine Equations with Two Variables A Devs Guide
#mathematics#algorithms#number theory#python#euclidean algorithm#discrete math
A practical guide for developers on understanding and solving linear Diophantine equations (ax + by = c) using the Extended Euclidean Algorithm, with Python examples. Learn when solutions exist and how to find them.
June 18, 2025
Diving Deep into Modular Arithmetic for Developers
#Mathematics#Algorithms#Programming#Python#JavaScript#Java#C++#Cryptography#Hashing
Unravel the mysteries of modular arithmetic. Learn its core concepts, practical applications, and common pitfalls with real-world code examples for everyday development challenges.
June 18, 2025
Binary Exponentiation Fast Power Calculation for Developers
#algorithm#mathematics#optimization#bit manipulation#python#competitive-programming#modular-arithmetic
Dive deep into Binary Exponentiation (Exponentiation by Squaring), an essential algorithm for efficiently calculating large powers. Learn its principles, iterative and recursive implementations, modular arithmetic applications, and how it optimizes your code for competitive programming and cryptography.
June 18, 2025