




lowerCamelCase__					:  int      							=				8.314_4598

def    UpperCAmelCase_				( __UpperCAmelCase		:      float     ,     __UpperCAmelCase		:      float				)   ->					float:
      if temperature < 0:
            raise Exception('Temperature cannot be less than 0 K'				)
      if molar_mass <= 0:
            raise Exception('Molar mass cannot be less than or equal to 0 kg/mol'				)
      else:
            return (3 * UNIVERSAL_GAS_CONSTANT * temperature / molar_mass) ** 0.5


if __name__ == "__main__":
   import doctest

   # run doctest
   doctest.testmod()

   # example
   lowerCamelCase__					:  str      							=				300
   lowerCamelCase__					:  int      							=				28
   lowerCamelCase__					:  Optional[int]      							=				rms_speed_of_molecule(temperature, molar_mass)
   print(f'''Vrms of Nitrogen gas at 300 K is {vrms} m/s''')





from __future__ import annotations

from collections.abc import Generator

def    UpperCAmelCase_				( )   ->					Generator[int, None, None]:
      SCREAMING_SNAKE_CASE_      		=     {}
      SCREAMING_SNAKE_CASE_      		=     2
      while True:
            SCREAMING_SNAKE_CASE_      		=     factor_map.pop(__UpperCAmelCase     ,     __UpperCAmelCase				)
            if factor:
                  SCREAMING_SNAKE_CASE_      		=     factor + prime
                  while x in factor_map:
                        x += factor
                  SCREAMING_SNAKE_CASE_      		=     factor
            else:
                  SCREAMING_SNAKE_CASE_      		=     prime
                  yield prime
            prime += 1

def    UpperCAmelCase_				( __UpperCAmelCase		:      float = 1E10				)   ->					int:
      SCREAMING_SNAKE_CASE_      		=     sieve()

      SCREAMING_SNAKE_CASE_      		=     1
      while True:
            SCREAMING_SNAKE_CASE_      		=     next(__UpperCAmelCase				)
            if (2 * prime * n) > limit:
                  return n
            # Ignore the next prime as the reminder will be 2.
            next(__UpperCAmelCase				)
            n += 2


if __name__ == "__main__":
   print(solution())