





from __future__ import annotations

import math


def     lowerCamelCase_	(      lowerCAmelCase:	int				)->		bool:

  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     lowerCamelCase_	(      lowerCAmelCase:	int				)->		list[int]:
  _snake_case   :				Union[str, Any]														=	str(lowerCAmelCase				)
  _snake_case   :				Tuple														=	[n]
  for i in range(1    ,							len(lowerCAmelCase				)				):
    list_nums.append(int(str_num[i:]				)				)
    list_nums.append(int(str_num[:-i]				)				)
  return list_nums


def     lowerCamelCase_	(      lowerCAmelCase:	int				)->		bool:
  if len(str(lowerCAmelCase				)				) > 3:
    if not is_prime(int(str(lowerCAmelCase				)[-3:]				)				) or not is_prime(int(str(lowerCAmelCase				)[:3]				)				):
      return False
  return True


def     lowerCamelCase_	(      lowerCAmelCase:	int = 11				)->		list[int]:
  _snake_case   :				list[int]														=	[]
  _snake_case   :				int														=	13
  while len(lowerCAmelCase				) != count:
    if validate(lowerCAmelCase				):
      _snake_case   :				int														=	list_truncated_nums(lowerCAmelCase				)
      if all(is_prime(lowerCAmelCase				) for i in list_nums				):
        list_truncated_primes.append(lowerCAmelCase				)
    num += 2
  return list_truncated_primes


def     lowerCamelCase_	(      )->		int:
  return sum(compute_truncated_primes(11				)				)


if __name__ == "__main__":
      print(F"""{sum(compute_truncated_primes(11)) = }""")











def     lowerCamelCase_	(      lowerCAmelCase:	int				)->		int:

  if not isinstance(lowerCAmelCase    ,							lowerCAmelCase				):
    _snake_case   :				Union[str, Any]														=	F"""Input value of [number={number}] must be an integer"""
    raise TypeError(lowerCAmelCase				)

  if number < 1:
    _snake_case   :				int														=	F"""Input value of [number={number}] must be > 0"""
    raise ValueError(lowerCAmelCase				)

  _snake_case   :				int														=	1

  for i in range(1    ,							lowerCAmelCase				):
    current_number *= 4 * i - 2
    current_number //= i + 1

  return current_number


if __name__ == "__main__":
      import doctest

      doctest.testmod()




