Prime Number

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Unit 4 Session 1 (Click for link to problem statements)

U-nderstand

Understand what the interviewer is asking for by using test cases and questions about the problem.

• What happens if n is negative?
  • Since by definition, prime numbers are positive numbers greater than 1, your function should return False for any n <= 1

P-lan

Plan the solution with appropriate visualizations and pseudocode.

General Idea: Check if n is less than 2, then test for factors from 2 up to the square root of n.

1) If n is less than or equal to 1, return False (not a prime).
2) Use a loop to check divisibility from 2 up to the square root of n:
  a) If n is divisible by any number in this range, it's not a prime, return False.
  b) If no divisors are found, it's a prime, return True.

⚠️ Common Mistakes

• Forgetting that all non-prime numbers less than 2 should return False.
• Forgetting to check for divisibility by the square root of n

I-mplement

def is_prime(n):
    if n <= 1:
        return False
    i = 2
    while i * i <= n:
        if n % i == 0:
            return False
        i += 1
    return True