



'''simple docstring'''





import itertools
import math





def 						__snake_case(				_lowerCAmelCase		)		-> bool:

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





def 						__snake_case(				)		-> str:
      snake_case__  :    Optional[Any]    						=      2
      while True:
            if is_prime(_lowerCAmelCase		):
                  yield num
            num += 1





def 						__snake_case(				_lowerCAmelCase = 10_001		)		-> int:
      return next(itertools.islice(prime_generator()     ,   nth - 1     ,   _lowerCAmelCase		)		)


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





'''simple docstring'''





from PIL import Image





def 						__snake_case(				_lowerCAmelCase     ,   _lowerCAmelCase		)		-> Image:

      def brightness(_lowerCAmelCase		) -> float:
            return 128 + level + (c - 128)

      if not -255.0 <= level <= 255.0:
            raise ValueError("""level must be between -255.0 (black) and 255.0 (white)"""		)
      return img.point(_lowerCAmelCase		)


if __name__ == "__main__":
       # Load image
       with Image.open("image_data/lena.jpg") as img:
              # Change brightness to 100
              __a          =		change_brightness(img, 100)
              brigt_img.save("image_data/lena_brightness.png", format="png")
