


from math import isqrt, loga
def        UpperCamelCase_(				_A   :int  )->		list[int]:
			UpperCamelCase__					=       [True] * max_number
			for i in range(2				,     isqrt(max_number - 1  ) + 1  ):
						if is_prime[i]:
									for j in range(i**2				,     _A				,     _A  ):
												UpperCamelCase__					=       False

			return [i for i in range(2				,     _A  ) if is_prime[i]]
def        UpperCamelCase_(				_A   :int = 80_08_00				,     _A   :int = 80_08_00  )->		int:
			UpperCamelCase__					=       degree * loga(_A  )
			UpperCamelCase__					=       int(_A  )
			UpperCamelCase__					=       calculate_prime_numbers(_A  )

			UpperCamelCase__					=       0
			UpperCamelCase__					=       0
			UpperCamelCase__					=       len(_A  ) - 1
			while left < right:
						while (
						    prime_numbers[right] * loga(prime_numbers[left]  )
						    + prime_numbers[left] * loga(prime_numbers[right]  )
						    > upper_bound
						):
									right -= 1
						hybrid_integers_count += right - left
						left += 1

			return hybrid_integers_count


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






import os
import tempfile
import unittest

from transformers.models.marian.convert_marian_tatoeba_to_pytorch import DEFAULT_REPO, TatoebaConverter
from transformers.testing_utils import slow
from transformers.utils import cached_property







@unittest.skipUnless(os.path.exists(UpperCAmelCase      )					,	'Tatoeba directory does not exist.'      )
class        lowerCamelCase__	(							unittest.TestCase      ):






			"""simple docstring"""






			@cached_property
			def 				snake_case__				(							self     ):

						'''simple docstring'''


						UpperCamelCase__					=       tempfile.mkdtemp()
						return TatoebaConverter(save_dir=snake_case     )




			@slow
			def 				snake_case__				(							self     ):

						'''simple docstring'''


						self.resolver.convert_models(["heb-eng"]     )







			@slow
			def 				snake_case__				(							self     ):

						'''simple docstring'''


						UpperCamelCase__,      UpperCamelCase__					=       self.resolver.write_model_card("opus-mt-he-en"      ,						dry_run=snake_case     )
						assert mmeta["long_pair"] == "heb-eng"


