


'''simple docstring'''



from math import isqrt, loga




def 			_a			(		_lowercase      :			int						):





     '''simple docstring'''






     __UpperCAmelCase			:				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    ,      _lowercase    ,      _lowercase						):
                    __UpperCAmelCase			:				Optional[Any]													=    False

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




def 			_a			(		_lowercase      :			int = 800800    ,      _lowercase      :			int = 800800						):





     '''simple docstring'''






     __UpperCAmelCase			:				Optional[Any]													=    degree * loga(_lowercase						)
     __UpperCAmelCase			:				Optional[Any]													=    int(_lowercase						)
     __UpperCAmelCase			:				Optional[int]													=    calculate_prime_numbers(_lowercase						)

     __UpperCAmelCase			:				Tuple													=    0
     __UpperCAmelCase			:				Any													=    0
     __UpperCAmelCase			:				List[str]													=    len(_lowercase						) - 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'''



def 			_a			(		_lowercase      :			int = 4000000						):





     '''simple docstring'''






     __UpperCAmelCase			:				Tuple													=    []
     __UpperCAmelCase							,     __UpperCAmelCase			:				int													=    0, 1
     while b <= n:
          if b % 2 == 0:
               even_fibs.append(_lowercase						)
          __UpperCAmelCase							,     __UpperCAmelCase			:				Dict													=    b, a + b
     return sum(_lowercase						)


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