Python BasicsMedium

Prime Number using Recursion

Detailed guide and Python implementation for the 'Prime Number using Recursion' problem.

Problem Statement

Medium

Write a function is_prime(n) that checks whether the given positive integer n is a prime number using recursion. The function should return True if n is prime and False otherwise. A prime number is a number greater than 1 that has no divisors other than 1 and itself.

Constraints
  • 1 <= n <= 10000

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 = 10
Output
False
Explanation

10 is divisible by 2 and 5, 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 Recursion-specific data structures like sets or heaps.
Edge Cases to Watch
  • Empty input structures
  • Single element inputs
  • Large numerical bounds

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