





'''simple docstring'''


from math import isqrt, loga
def 							UpperCAmelCase_  (						__lowerCamelCase					:					int ):
   lowercase_			:List[str]    			= [True] * max_number
   for i in range(2	,isqrt(max_number - 1 ) + 1 ):
      if is_prime[i]:
         for j in range(i**2	,__lowerCamelCase	,__lowerCamelCase ):
            lowercase_			:Optional[int]    			= False

   return [i for i in range(2	,__lowerCamelCase ) if is_prime[i]]
def 							UpperCAmelCase_  (						__lowerCamelCase					:					int = 80_08_00	,__lowerCamelCase					:					int = 80_08_00 ):
   lowercase_			:Dict    			= degree * loga(__lowerCamelCase )
   lowercase_			:List[Any]    			= int(__lowerCamelCase )
   lowercase_			:Dict    			= calculate_prime_numbers(__lowerCamelCase )

   lowercase_			:Optional[int]    			= 0
   lowercase_			:Dict    			= 0
   lowercase_			:str    			= len(__lowerCamelCase ) - 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() = }''')









'''simple docstring'''


lowerCAmelCase					:     str												='''
# Installazione di Transformers
! pip install transformers datasets
# Per installare dalla fonte invece dell\'ultima versione rilasciata, commenta il comando sopra e
# rimuovi la modalità commento al comando seguente.
# ! pip install git+https://github.com/huggingface/transformers.git
'''

lowerCAmelCase					:     int												=[{'''type''': '''code''', '''content''': INSTALL_CONTENT}]
lowerCAmelCase					:     List[str]												={
    '''{processor_class}''': '''FakeProcessorClass''',
    '''{model_class}''': '''FakeModelClass''',
    '''{object_class}''': '''FakeObjectClass''',
}


