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Home/Questions/Python/Coding/Check if a number is prime.

Check if a number is prime.

Python/Codingeasy0.2 min read

Reviewed by Aditya Kumar Β· Last reviewed 2026-03-24

**Logic:** Prime if no divisor in [2, √n]. **Code:** `for i in range(2, int(n**0.5)+1): if n%i==0: return False`. O(√n). **Optimize:** Check 2, then odds. **Large n:** Miller-Rabin probabilistic. **Why:** Validation, sampling....

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Asked at 1 company
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Interview Pro Tip

Pro-Move: Miller-Rabin for large n. Red Flag: Trial division for 10^18.

Expert Answer
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Logic: Prime if no divisor in [2, √n]. Code: for i in range(2, int(n0.5)+1): if n%i==0: return False. O(√n). Optimize: Check 2, then odds. Large n: Miller-Rabin probabilistic. Why: Validation, sampling. Production:** Use for bounded ranges; library for big numbers.

⚑
Pro Tip

Pro-Move: Miller-Rabin for large n. Red Flag: Trial division for 10^18.

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