



def 	snake_case__       (					__lowercase       )		->		int:







						"""simple docstring"""

						assert isinstance(__lowercase							,     __lowercase       ), F'The input value of [n={number}] is not an integer'

						if number == 1:
												return 2
						elif number < 1:
												A__	:							Union[str, Any]						    = F'The input value of [n={number}] has to be > 0'
												raise ValueError(__lowercase       )
						else:
												A__	:							Any						    = sylvester(number - 1       )
												A__	:							List[str]						    = num - 1
												A__	:							str						    = num
												return lower * upper + 1


if __name__ == "__main__":
		print(f"""The 8th number in Sylvester's sequence: {sylvester(8)}""")




def 	snake_case__       (					__lowercase       )		->		int:







						"""simple docstring"""

						if divisor % 5 == 0 or divisor % 2 == 0:
												return 0
						A__	:							Tuple						    = 1
						A__	:							Union[str, Any]						    = 1
						while repunit:
												A__	:							Union[str, Any]						    = (1_0 * repunit + 1) % divisor
												repunit_index += 1
						return repunit_index
def 	snake_case__       (					__lowercase = 1_0_0_0_0_0_0       )		->		int:







						"""simple docstring"""

						A__	:							Dict						    = limit - 1
						if divisor % 2 == 0:
												divisor += 1
						while least_divisible_repunit(__lowercase       ) <= limit:
												divisor += 2
						return divisor


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