Update proth_number.py

Author: MaximSmolskiy

maths/special_numbers/proth_number.py

@@ -63,6 +63,12 @@ def is_proth_number(number: int) -> bool:
     """
     :param number: positive integer number
     :return: true if number is a Proth number, false otherwise
+    >>> is_proth_number(1)
+    False
+    >>> is_proth_number(2)
+    False
+    >>> is_proth_number(3)
+    True
     >>> is_proth_number(5)
     True
     >>> is_proth_number(34)
@@ -84,6 +90,9 @@ def is_proth_number(number: int) -> bool:
         message = f"Input value of [{number=}] must be > 0"
         raise ValueError(message)
 
+    if number == 1:
+        return False
+
     number -= 1
     n = 0
     while number % 2 == 0:
@@ -107,7 +116,7 @@ def is_proth_number(number: int) -> bool:
 
         print(f"The {number}th Proth number: {value}")
 
-    for number in [3, 5, 9, 13, 49, 57, 193, 241, 163, 201]:
+    for number in [1, 2, 3, 5, 9, 13, 49, 57, 193, 241, 163, 201]:
         if is_proth_number(number):
             print(f"{number} is a Proth number")
         else: