
"""simple docstring"""

def 		UpperCAmelCase (		a_      ):





		'''simple docstring'''


		if num <= 0:
				raise ValueError('Input must be a positive integer'      )

		lowerCamelCase					:      Dict          =   [True] * (num + 1)

		lowerCamelCase					:      List[str]          =   2
		while p * p <= num:
				if primes[p]:
						for i in range(p * p,						num + 1,						a_      ):
								lowerCamelCase					:      Dict          =   False
				p += 1

		return [prime for prime in range(2,						num + 1      ) if primes[prime]]


if __name__ == "__main__":
					import doctest

					doctest.testmod()

					_A						=			int(input('Enter a positive integer: ').strip())
					print(prime_sieve_eratosthenes(user_num))








"""simple docstring"""

def 		UpperCAmelCase (		a_      ):





		'''simple docstring'''


		return str(a_      ) == str(a_      )[::-1]
def 		UpperCAmelCase (		a_      ):





		'''simple docstring'''


		return int(a_      ) + int(str(a_      )[::-1]      )
def 		UpperCAmelCase (		a_ = 1_0000      ):





		'''simple docstring'''


		lowerCamelCase					:      Optional[Any]          =   []
		for num in range(1,						a_      ):
				lowerCamelCase					:      List[str]          =   0
				lowerCamelCase					:      Union[str, Any]          =   num
				while iterations < 50:
						lowerCamelCase					:      Optional[int]          =   sum_reverse(a_      )
						iterations += 1
						if is_palindrome(a_      ):
								break
				else:
						lychrel_nums.append(a_      )
		return len(a_      )


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






