EXPRESS THE GIVEN NUMBER AS SUM OF PRIME NUMBERS | PROBLEM 49 | TOP 100 CODES | JAVA PROGRAMMING
🔥WELCOME BACK TO SHECODES 🔥 Dive into one of the most fascinating problems in number theory and a popular technical interview question! In this video, I'll walk you through how to determine if a number can be expressed as the sum of two prime numbers using Java. 🔍 What You'll Learn: The elegant implementation of a prime number checking algorithm How to find all prime number pairs that sum to a given value The connection to Goldbach's Conjecture - one of the oldest unsolved problems in mathematics Optimization techniques that will impress technical interviewers 💻 The Problem Explained: Dating back to 1742, Goldbach's Conjecture states that every even integer greater than 2 can be expressed as the sum of two primes. While still unproven for all numbers, our Java solution explores this mathematical puzzle through code! 🚀 Why This Matters For Your Interviews: This question frequently appears in technical interviews at top tech companies because it tests: Your understanding of algorithms and data structures Knowledge of prime number properties Ability to optimize solutions Problem-solving approach that interviewers love 📋 Topics Covered: Efficient prime number checking with optimization The 6k±1 optimization technique explained Using Java's ArrayList to store and retrieve results Time and space complexity analysis Live code demonstration with real examples Whether you're preparing for your next technical interview, brushing up on your Java skills, or simply fascinated by mathematical puzzles, this video provides a clear, step-by-step guide to solving this classic problem. Don't miss the explanation of why we only need to check divisors up to the square root and the mathematics behind our optimized prime checking algorithm! 👍 Like and subscribe for more programming tutorials, algorithm explanations, and interview prep. Drop a comment if you have any questions or suggestions for future videos! #JavaProgramming #TechnicalInterviews #PrimeNumbers #CodingInterviews #AlgorithmTutorial #ProgrammingChallenges #ComputerScience #GoldbachConjecture #CodingProblems
