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🔢 List Prime Numbers Up to N in JavaScript | Prime Number Tutorial

📌 Description:
In this video, you’ll learn how to list all prime numbers up to a given number N in JavaScript. Prime numbers are the foundation of number theory and have countless applications in computing, cryptography, and algorithms.

📘 What You'll Learn:

What prime numbers are and how to identify them

How to generate all primes up to a chosen limit (N)

Real-world importance of prime numbers in programming and security

📝 Explanation:
What Are Prime Numbers?

A prime number is a number greater than 1 that is divisible only by 1 and itself. Examples: 2, 3, 5, 7, 11…

Listing Prime Numbers Up to N:

When you specify a limit N, the task is to find all prime numbers less than or equal to N.

Example: N = 20 → primes are 2, 3, 5, 7, 11, 13, 17, 19.

This is often done by checking divisibility of each number or using optimized methods like the Sieve of Eratosthenes.

📝 Example Analysis:
N Prime Numbers Up to N
10 2, 3, 5, 7
20 2, 3, 5, 7, 11, 13, 17, 19
30 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
🌍 Real-World Applications:

Cryptography: Used in RSA and other encryption methods.

Computer science: Prime-based hashing and algorithms.

Mathematics: Essential for number theory and problem-solving.

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🏷️ YouTube Tags:

List prime numbers JavaScript, Prime number tutorial
Generate primes in JavaScript, Sieve of Eratosthenes explained
JavaScript math tutorial, Prime number algorithms
Coding with prime numbers, Cryptography basics with primes