
"""simple docstring"""

import math
def 		UpperCAmelCase (		a_      ):





		'''simple docstring'''


		assert isinstance(a_,						a_      ) and (
		    number >= 0
		), "'number' must been an int and positive"

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

		lowerCamelCase					:      int          =   range(3,						int(math.sqrt(a_      ) + 1      ),						2      )
		return not any(not number % i for i in odd_numbers      )





def 		UpperCAmelCase (		a_,						a_=1,						**a_      ):





		'''simple docstring'''


		lowerCamelCase					:      str          =   factor * value
		lowerCamelCase					:      str          =   value

		while not is_prime(a_      ):
				value += 1 if not ("desc" in kwargs and kwargs["desc"] is True) else -1

		if value == first_value_val:
				return next_prime(value + 1,						**a_      )
		return value








"""simple docstring"""

def 		UpperCAmelCase (		a_ = 10      ):





		'''simple docstring'''


		if not isinstance(a_,						a_      ) or n < 0:
				raise ValueError('Invalid input'      )
		lowerCamelCase					:      Union[str, Any]          =   10**n
		lowerCamelCase					:      int          =   2_8433 * (pow(2,						783_0457,						a_      )) + 1
		return str(number % modulus      )


if __name__ == "__main__":
					from doctest import testmod

					testmod()
					print(F"""{solution(1_0) = }""")






