How to Check Prime Number in Java | From Naive to Optimized (√n Explained)

#PrimeNumberCheck #JavaProgramming #DSATutorial

Prime Number Check: Learn Java logic that transforms naive thinking into optimized interview-ready solutions! 🚀
If you’ve ever struggled to explain prime number logic confidently in interviews, this video will completely change how you think about the problem. Instead of memorizing code, you’ll understand why optimizations work and how to apply them correctly in Java.

In this tutorial, we break down prime number check in Java starting from the most basic brute-force approach and gradually optimizing it using square root logic and the powerful 6k ± 1 method. This progression helps you build strong DSA fundamentals while also improving your ability to reason about time complexity, a skill interviewers deeply value.

You’ll see how naive approaches lead to unnecessary iterations, how √n optimization drastically reduces execution time, and how professional developers think when writing optimized algorithms. Along the way, we connect concepts to DSA basics, common Java interview questions, and real-world problem-solving patterns that recruiters expect from 18–35 age-group candidates preparing for software roles.

📋 What you’ll learn in this video:
• Prime number logic using brute force vs optimized approaches
• Why √n optimization works (with dry runs)
• How the 6k ± 1 method further improves efficiency
• Time & space complexity explained in simple Hinglish
• How to explain this logic confidently in interviews

🚀 Ready to level up your DSA thinking?
Like the video, subscribe to the channel, and explore our structured DSA playlist designed to turn concepts into confidence.

❤️ Strong fundamentals beat shortcuts every time. Learn deeply, code smartly, and keep growing.

—
Ujjwal Rai | Techmine Guru
📧 info@techmineguru.com
🎓 Java + DSA Interview Preparation
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