


"""simple docstring"""




from math import isqrt, loga


def     lowercase			(SCREAMING_SNAKE_CASE_		:				int  )   ->						list[int]:
						SCREAMING_SNAKE_CASE													=					[True] * max_number
						for i in range(2 ,			isqrt(max_number - 1  ) + 1  ):
												if is_prime[i]:
																		for j in range(i**2 ,			SCREAMING_SNAKE_CASE_ ,			SCREAMING_SNAKE_CASE_  ):
																								SCREAMING_SNAKE_CASE													=					False

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


def     lowercase			(SCREAMING_SNAKE_CASE_		:				int = 80_08_00 ,			SCREAMING_SNAKE_CASE_		:				int = 80_08_00  )   ->						int:
						SCREAMING_SNAKE_CASE													=					degree * loga(SCREAMING_SNAKE_CASE_  )
						SCREAMING_SNAKE_CASE													=					int(SCREAMING_SNAKE_CASE_  )
						SCREAMING_SNAKE_CASE													=					calculate_prime_numbers(SCREAMING_SNAKE_CASE_  )

						SCREAMING_SNAKE_CASE													=					0
						SCREAMING_SNAKE_CASE													=					0
						SCREAMING_SNAKE_CASE													=					len(SCREAMING_SNAKE_CASE_  ) - 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"""




# This is the module that test_patching.py uses to test patch_submodule()

import os  # noqa: this is just for tests
import os as renamed_os  # noqa: this is just for tests
from os import path  # noqa: this is just for tests
from os import path as renamed_path  # noqa: this is just for tests
from os.path import join  # noqa: this is just for tests
from os.path import join as renamed_join  # noqa: this is just for tests


__UpperCamelCase						=      open  # noqa: we just need to have a builtin inside this module to test it properly


