Finding the Nth Prime Number with Python

Day 26 of My Python Full-Stack Journey — Finding the Nth Prime Number 🔢 Today I tackled a classic algorithmic challenge: writing a program to find the Nth prime number. It sounds simple, but it pushed me to think about efficiency — the difference between a brute-force check and an optimized approach using early termination and square root logic is huge when N gets large. Key concepts I reinforced today: → What makes a number prime (divisible only by 1 and itself) → Looping and counting logic in Python → Optimizing trial division using math.sqrt() → Writing clean, readable functions A simple is_prime() helper + a counter loop gets you there, but understanding why you only check up to √n is where real problem-solving kicks in. Snippet from today: python import math def is_prime(n): if n < 2: return False for i in range(2, int(math.sqrt(n)) + 1): if n % i == 0: return False return True def nth_prime(n): count, num = 0, 1 while count < n: num += 1 if is_prime(num): count += 1 return num print(nth_prime(10)) # Output: 29 Every small program like this is building the logical foundation I'll need for the full-stack projects ahead. 💪 26 days in — consistency is the real algorithm. 🔥 #Python #100DaysOfCode #FullStackDevelopment #CodingJourney #Day26 #Programming #LearnToCode #PythonProgramming

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