Python BasicsEasy

Prime number

Detailed guide and Python implementation for the 'Prime number' problem.

Problem Statement

Easy

Write a function is_prime(n) that takes a positive integer n and returns True if n is a prime number, or False otherwise. A prime number is a number greater than 1 that has no divisors other than 1 and itself.

Constraints
  • 1 <= n <= 10^6

Examples

Example 1
Input
n = 7
Output
True
Explanation

7 is only divisible by 1 and 7, so it is prime.

Example 2
Input
n = 4
Output
False
Explanation

4 is divisible by 2 (4 = 2 × 2), so it is not prime.

Example 3
Input
n = 1
Output
False
Explanation

1 is not considered a prime number by definition.

Need a Hint?
Consider using Basics-specific data structures like sets or heaps.
Edge Cases to Watch
  • Empty input structures
  • Single element inputs
  • Large numerical bounds

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