Implementing Prime Number Generation in Python for DSA and Real-World Problems

Day 58 of my #100DaysOfCode challenge 🚀 Today I implemented a Python program to generate prime numbers within a given range. This is a practical extension of prime checking and useful in many DSA and real-world problems. What the program does: • Takes a range (start, end) as input • Checks each number in the range • Identifies whether it is prime or not • Returns a list of all prime numbers in that range Example Output: Prime numbers between 1 and 50: [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47] How the logic works: Start from max(2, start) For each number: • Assume it is prime • Check divisibility from 2 → √n If divisible → not prime If not divisible → add to result list 👉 Uses square root optimization for better performance Why this is important: – Builds on prime number fundamentals – Useful in: Competitive programming Number theory problems Range-based queries – Helps understand optimization using √n Time Complexity: O(n√n) Space Complexity: O(k) (number of primes) Key Takeaways: – Applying optimized prime checking – Working with ranges and loops – Improving efficiency using √n – Writing clean and scalable code #100DaysOfCode #Day58 #Python #Programming #DSA #Algorithms #PrimeNumbers #NumberTheory #CodingPractice #ProblemSolving #InterviewPrep #Optimization #DeveloperJourney #Consistency #BTech #CSE #AIandML #VITBhopal #TechJourney

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