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Prime Check With Recursion

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Your question is Prime Check With Recursion. Start with the requirements on the right.

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Problem

A War Dragons feature needs to classify integer values as prime or non-prime. Implement is_prime(n) using trial division, then rewrite the divisor-checking logic recursively without changing the function's behavior.

A prime number is an integer greater than 1 with no positive divisors other than 1 and itself. You only need to test divisors through the square root of n.

Formal Specification

  • Input: An integer n.
  • Output: Return True if n is prime; otherwise return False.
  • Treat 0 and 1 as non-prime.
  • The final implementation of is_prime must use recursion to test candidate divisors.
  • Do not use libraries or convert the number to a string.

Constraints

  • 0 <= n <= 10^9
  • Return a Boolean value.
  • The final implementation must use recursion for divisor checking.
  • Stop checking when divisor * divisor > n.

Function Signature

def is_prime(n):
Your solutionPython 3
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