Number System | संख्या पद्धति | Prime Number | Part-01 | Class-11 | By Ritesh Jha Sir #numbersystem

Number System | संख्या पद्धति | Prime Number | Part-01 | Class-11 | By Ritesh Jha Sir #numbersystem App Link - https://shorturl.at/Y5qPo Website - https://mestarriteshjha.akamai.net.in/ Creating a complete video on prime numbers is a great idea! To cover the topic comprehensively, here’s an outline that can guide the structure of the video: 1. Introduction to Prime Numbers Definition of a prime number (a number greater than 1 with only two divisors: 1 and itself). Difference between prime and composite numbers. Examples of prime and composite numbers. 2. Properties of Prime Numbers All primes are odd except for 2. There is an infinite number of primes. Patterns in primes (like prime gaps, twin primes). 3. Prime Number Identification Techniques to identify prime numbers. Prime number sieve methods: Trial Division: Dividing a number up to its square root. Sieve of Eratosthenes: Classic algorithm to find all primes up to a certain limit. Mental math tricks to quickly check for small primes. 4. Special Types of Prime Numbers Twin primes (pairs of primes that differ by 2). 5. Applications of Prime Numbers Importance in cryptography and computer science. Role in coding theory, hashing, and data security. 6. Practice Problems and Examples Solving a variety of problems, from identifying primes to using them in calculations. Exercises to apply the techniques for checking primes. 7. Advanced Topics (Optional) Fundamental theorem of arithmetic. Prime factorization and its uses. 8. Summary and Tips for Remembering Prime Numbers Covering all these topics can give a solid foundation on prime numbers in a single video. For retention, consider using visuals and examples to explain complex concepts, especially for identifying and using primes in problem-solving.