
from math import sqrt

def  __snake_case							(	__magic_name__						):







				'''simple docstring'''


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

def  __snake_case							(	__magic_name__ = 10001						):







				'''simple docstring'''


				lowercase         =      0
				lowercase         =      1
				while count != nth and number < 3:
								number += 1
								if is_prime(SCREAMING_SNAKE_CASE__						):
												count += 1
				while count != nth:
								number += 2
								if is_prime(SCREAMING_SNAKE_CASE__						):
												count += 1
				return number


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




from math import isqrt




def       a_ (       SCREAMING_SNAKE_CASE__   : int	):
       '''simple docstring'''





       _lowerCamelCase			:						Optional[int]            =[True] * max_number
       for i in range(2						,     isqrt(max_number - 1	) + 1	):
              if is_prime[i]:
                     for j in range(i**2						,     SCREAMING_SNAKE_CASE__						,     SCREAMING_SNAKE_CASE__	):
                            _lowerCamelCase			:						str            =False

       return [i for i in range(2						,     SCREAMING_SNAKE_CASE__	) if is_prime[i]]




def       a_ (       SCREAMING_SNAKE_CASE__   : int = 10**8	):
       '''simple docstring'''





       _lowerCamelCase			:						Union[str, Any]            =calculate_prime_numbers(max_number // 2	)

       _lowerCamelCase			:						Dict            =0
       _lowerCamelCase			:						int            =0
       _lowerCamelCase			:						Optional[Any]            =len(SCREAMING_SNAKE_CASE__	) - 1
       while left <= right:
              while prime_numbers[left] * prime_numbers[right] >= max_number:
                     right -= 1
              semiprimes_count += right - left + 1
              left += 1

       return semiprimes_count


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


