Implement Efficient Prime Number Checker with Comprehensive Testing

src/prime_checker.py

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+def is_prime(number: int) -> bool:
+    """
+    Check if a given number is prime.
+
+    Args:
+        number (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 2.
+    """
+    # Validate input type
+    if not isinstance(number, int):
+        raise TypeError("Input must be an integer")
+
+    # Handle special cases
+    if number < 2:
+        return False
+
+    # Optimization: check divisibility up to square root of the number
+    for i in range(2, int(number**0.5) + 1):
+        if number % 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, 31, 37, 41, 43, 47]
+    for prime in prime_numbers:
+        assert is_prime(prime) == True, f"{prime} should be prime"
+
+def test_non_prime_numbers():
+    """Test known non-prime numbers"""
+    non_prime_numbers = [0, 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22]
+    for non_prime in non_prime_numbers:
+        assert is_prime(non_prime) == False, f"{non_prime} should not be prime"
+
+def test_large_prime():
+    """Test a large prime number"""
+    assert is_prime(104729) == True, "Large prime number not recognized"
+
+def test_large_non_prime():
+    """Test a large non-prime number"""
+    assert is_prime(100000) == False, "Large non-prime number not detected"
+
+def test_negative_numbers():
+    """Test negative numbers"""
+    assert is_prime(-7) == False, "Negative numbers should not be prime"
+
+def test_invalid_input_type():
+    """Test invalid input types"""
+    with pytest.raises(TypeError):
+        is_prime("not a number")
+
+    with pytest.raises(TypeError):
+        is_prime(3.14)
+
+    with pytest.raises(TypeError):
+        is_prime(None)