Implement Prime Number Checker Function with Comprehensive Testing

src/prime_checker.py

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+def is_prime(n):
+    """
+    Check if a given number is prime.
+
+    A prime number is a natural number greater than 1 that is only divisible by 1 and itself.
+
+    Args:
+        n (int): The number to check for primality.
+
+    Returns:
+        bool: True if the number is prime, False otherwise.
+
+    Raises:
+        TypeError: If the input is not an integer.
+        ValueError: If the input is less than or equal to 0.
+    """
+    # Check input type
+    if not isinstance(n, int):
+        raise TypeError("Input must be an integer")
+
+    # Check input range
+    if n <= 0:
+        raise ValueError("Input must be a positive integer greater than 0")
+
+    # Handle small prime numbers
+    if n == 1:
+        return False
+    if n <= 3:
+        return True
+
+    # Optimize for even numbers
+    if n % 2 == 0:
+        return False
+
+    # Check for divisibility up to the square root of n
+    for i in range(3, int(n**0.5) + 1, 2):
+        if n % i == 0:
+            return False
+
+    return True

tests/test_prime_checker.py

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+import pytest
+from src.prime_checker import is_prime
+
+def test_prime_numbers():
+    """Test known prime numbers"""
+    prime_numbers = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29]
+    for num in prime_numbers:
+        assert is_prime(num) is True, f"{num} should be prime"
+
+def test_non_prime_numbers():
+    """Test known non-prime numbers"""
+    non_prime_numbers = [1, 4, 6, 8, 9, 10, 12, 14, 15, 16]
+    for num in non_prime_numbers:
+        assert is_prime(num) is False, f"{num} should not be prime"
+
+def test_large_prime_number():
+    """Test a larger prime number"""
+    assert is_prime(997) is True
+
+def test_large_non_prime_number():
+    """Test a larger non-prime number"""
+    assert is_prime(1000) is False
+
+def test_invalid_input_types():
+    """Test invalid input types"""
+    with pytest.raises(TypeError):
+        is_prime(3.14)
+    with pytest.raises(TypeError):
+        is_prime("7")
+    with pytest.raises(TypeError):
+        is_prime([7])
+
+def test_invalid_input_range():
+    """Test invalid input ranges"""
+    with pytest.raises(ValueError):
+        is_prime(0)
+    with pytest.raises(ValueError):
+        is_prime(-5)