
from math import isqrt, loga





def 						SCREAMING_SNAKE_CASE__     (   __lowerCAmelCase				):
    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     ,		__lowerCAmelCase     ,		__lowerCAmelCase				):
                snake_case__    =					False

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





def 						SCREAMING_SNAKE_CASE__     (   __lowerCAmelCase = 800_800     ,		__lowerCAmelCase = 800_800				):
    snake_case__    =					degree * loga(__lowerCAmelCase				)
    snake_case__    =					int(__lowerCAmelCase				)
    snake_case__    =					calculate_prime_numbers(__lowerCAmelCase				)

    snake_case__    =					0
    snake_case__    =					0
    snake_case__    =					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() = }''')





def 						SCREAMING_SNAKE_CASE__     (   __lowerCAmelCase     ,		__lowerCAmelCase     ,		__lowerCAmelCase				):
    return round(float(moles / volume				) * nfactor				)





def 						SCREAMING_SNAKE_CASE__     (   __lowerCAmelCase     ,		__lowerCAmelCase     ,		__lowerCAmelCase				):
    return round(float((moles * 0.0_821 * temperature) / (volume)				)				)





def 						SCREAMING_SNAKE_CASE__     (   __lowerCAmelCase     ,		__lowerCAmelCase     ,		__lowerCAmelCase				):
    return round(float((moles * 0.0_821 * temperature) / (pressure)				)				)





def 						SCREAMING_SNAKE_CASE__     (   __lowerCAmelCase     ,		__lowerCAmelCase     ,		__lowerCAmelCase				):
    return round(float((pressure * volume) / (0.0_821 * moles)				)				)


if __name__ == "__main__":
     import doctest

     doctest.testmod()



