






"""simple docstring"""







def 					_lowerCAmelCase				(					lowerCAmelCase						):







       '''simple docstring'''
       UpperCAmelCase					=	str(lowerCAmelCase						).strip()
       if not bin_string:
              raise ValueError("""Empty string was passed to the function"""						)
       UpperCAmelCase					=	bin_string[0] == """-"""
       if is_negative:
              UpperCAmelCase					=	bin_string[1:]
       if not all(char in """01""" for char in bin_string						):
              raise ValueError("""Non-binary value was passed to the function"""						)
       UpperCAmelCase					=	0
       for char in bin_string:
              UpperCAmelCase					=	2 * decimal_number + int(lowerCAmelCase						)
       return -decimal_number if is_negative else decimal_number


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

 testmod()

import math





def 		__lowerCamelCase							(UpperCAmelCase__   :							int     ):

					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(UpperCAmelCase__     ) + 1     )					,       6     ):
										if number % i == 0 or number % (i + 2) == 0:
															return False
					return True





def 		__lowerCamelCase							(UpperCAmelCase__   :							int = 2_0_0_0_0_0_0     ):
					return sum(num for num in range(3					,       UpperCAmelCase__					,       2     ) if is_prime(UpperCAmelCase__     )     ) + 2 if n > 2 else 0


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




