'''simple docstring'''




import math

def _lowercase	(      lowerCamelCase__						)					->       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(lowerCamelCase__						) + 1						)							,    6						):
              if number % i == 0 or number % (i + 2) == 0:
                     return False
       return True

def _lowercase	(      lowerCamelCase__ = 1_0001						)					->       int:





       """simple docstring"""


       try:
              __UpperCAmelCase  :				int       				=		int(lowerCamelCase__						)
       except (TypeError, ValueError):
              raise TypeError("Parameter nth must be int or castable to int."						) from None
       if nth <= 0:
              raise ValueError("Parameter nth must be greater than or equal to one."						)
       __UpperCAmelCase  :				list[int]       				=		[]
       __UpperCAmelCase  :				List[str]       				=		2
       while len(lowerCamelCase__						) < nth:
              if is_prime(lowerCamelCase__						):
                     primes.append(lowerCamelCase__						)
                     num += 1
              else:
                     num += 1
       return primes[len(lowerCamelCase__						) - 1]


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







'''simple docstring'''




def _lowercase	(      lowerCamelCase__ = 100						)					->       int:





       """simple docstring"""


       __UpperCAmelCase  :				Optional[Any]       				=		(n * (n + 1) // 2) ** 2
       __UpperCAmelCase  :				Any       				=		n * (n + 1) * (2 * n + 1) // 6
       return sum_cubes - sum_squares


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






