Primality Check | Sieve of Eratosthenes | Super Detailed For Beginners | codestorywithMIK
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This is the 1st video of our playlist "Maths Concepts & Questions". Find the Details below:
Video Name: Primality Check | Sieve of Eratosthenes | Detailed For Beginners
Video #: 1
🔍 Mastering Maths for Coding: Simplified & Powerful.
🎥 Welcome to the 1st Video of my Maths Concepts Playlist!
🚀 In this foundational video, we explore the Primality Check and the Sieve of Eratosthenes with every detail you will need to know about it.
🔍 What's Inside?
Primality Check: Understand how to determine whether a number is prime, using methods that go beyond brute force to optimize your approach.
Sieve of Eratosthenes: Learn this elegant algorithm to generate all prime numbers up to a given limit in O(nloglogn) time.
👩 💻 Who Should Watch?
This playlist is perfect for beginners and competitive coders, helping you build a strong foundation in
mathematical concepts crucial for problem-solving in coding interviews and contests.
🚀 Let’s Unlock the Power of Maths in Programming!
My DP Concepts Playlist : • Roadmap for DP | How to Start DP ? | ...
My Graph Concepts Playlist : • Graph Concepts & Qns - 1 : Graph will...
My Recursion Concepts Playlist : • Introduction | Recursion Concepts And...
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Summary :
In this YouTube video, I delve into Primality Check and the Sieve of Eratosthenes, two fundamental concepts in number theory. I start by explaining how to determine if a number is prime using efficient methods, avoiding brute force. Then, I introduce the Sieve of Eratosthenes, an elegant algorithm to find all prime numbers up to a given limit in O(nloglogn) time. With clear examples and step-by-step explanations, this video is perfect for anyone looking to strengthen their understanding of prime numbers and optimize their coding solutions.
✨ Timelines✨
00:00 - Introduction
0:24 - Motivation
0:56 - Who was Erathosthenes ?
1:30 - What is Sieve Of Erathosthenes ?
2:30 - Primality Check Brute Force
5:53 - Primality Check Better
12:47 - Primality Check Optimal
22:32 - Sieve Of Erathosthenes
22:54 - Naive Approach
27:53 - Example to explain
40:25 - Time Complexity Explained
46:28 - Code it up
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