


'''simple docstring'''
import math

def 				lowerCamelCase_   (   __UpperCamelCase				:					int		)				->  bool:







     """simple docstring"""

     if 1 < number < 4:
          # 2 and 3 are primes
          return True
     elif number < 2 or number % 2 == 0 or number % 3 == 0:
          # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
          return False

     # All primes number are in format of 6k +/- 1
     for i in range(5       ,						int(math.sqrt(__UpperCamelCase		) + 1		)       ,						6		):
          if number % i == 0 or number % (i + 2) == 0:
               return False
     return True

def 				lowerCamelCase_   (   __UpperCamelCase				:					int = 6_0_0_8_5_1_4_7_5_1_4_3		)				->  int:







     """simple docstring"""

     try:
          _A				=       int(__UpperCamelCase		)
     except (TypeError, ValueError):
          raise TypeError('Parameter n must be int or castable to int.'		)
     if n <= 0:
          raise ValueError('Parameter n must be greater than or equal to one.'		)
     _A				=       0
     if is_prime(__UpperCamelCase		):
          return n
     while n % 2 == 0:
          n //= 2
     if is_prime(__UpperCamelCase		):
          return n
     for i in range(3       ,						int(math.sqrt(__UpperCamelCase		)		) + 1       ,						2		):
          if n % i == 0:
               if is_prime(n // i		):
                    _A				=       n // i
                    break
               elif is_prime(__UpperCamelCase		):
                    _A				=       i
     return max_number


if __name__ == "__main__":
    print(F'{solution() = }')









'''simple docstring'''
from __future__ import annotations

def 				lowerCamelCase_   (   __UpperCamelCase				:					list[int | float]		)				->  int | float:







     """simple docstring"""
     if len(__UpperCamelCase		) == 0:
          raise ValueError('find_max() arg is an empty sequence'		)
     _A				=       nums[0]
     for x in nums:
          if x > max_num:
               _A				=       x
     return max_num


if __name__ == "__main__":
    import doctest

    doctest.testmod(verbose=True)





