
import math


def 					__lowerCAmelCase    (    a__						) ->						float:
				__a    							=					math.log(2		,					10						) * number
				__a    							=					round((log_number - int(a__						))		,					15						)

				return difference


def 					__lowerCAmelCase    (    a__ = 67_8910						) ->						int:
				__a    							=					90
				__a    							=					0

				__a    							=					math.log(1.23		,					10						)
				__a    							=					math.log(1.24		,					10						)
				__a    							=					0

				while position < number:
								__a    							=					log_difference(a__						)

								if difference >= upper_limit:
												power_iterator += 93

								elif difference < lower_limit:
												power_iterator += 196

								else:
												__a    							=					power_iterator
												power_iterator += 196
												position += 1

				return previous_power


if __name__ == "__main__":
					import doctest

					doctest.testmod()

					print(F"{solution() = }")








from itertools import compress, repeat
from math import ceil, sqrt


def 					__lowerCAmelCase    (    a__						) ->						list[int]:

				if num <= 2:
								return []
				if num == 3:
								return [2]

				# Odd sieve for numbers in range [3, num - 1]
				__a    							=					bytearray(B'''\x01'''						) * ((num >> 1) - 1)

				for i in range(3		,					int(sqrt(a__						)						) + 1		,					2						):
								if sieve[(i >> 1) - 1]:
												__a    							=					i**2
												__a    							=					repeat(
												    0		,					ceil((num - i_squared) / (i << 1)						)						)

				return [2] + list(compress(range(3		,					a__		,					2						)		,					a__						)						)


if __name__ == "__main__":
					import doctest

					doctest.testmod()