





import math
from collections.abc import Generator


def 				SCREAMING_SNAKE_CASE__    (     __a ):
	snake_case_		:      Generator           =						(i for i in range(1 ,			(max_n + 1) ))
	for i in (n for n in numbers if n > 1):
		for j in range(2 ,			__a ):
			if (i % j) == 0:
				break
		else:
			yield i


def 				SCREAMING_SNAKE_CASE__    (     __a ):
	snake_case_		:      Generator           =						(i for i in range(1 ,			(max_n + 1) ))
	for i in (n for n in numbers if n > 1):
		# only need to check for factors up to sqrt(i)
		snake_case_		:      Union[str, Any]           =						int(math.sqrt(__a ) ) + 1
		for j in range(2 ,			__a ):
			if (i % j) == 0:
				break
		else:
			yield i


def 				SCREAMING_SNAKE_CASE__    (     __a ):
	snake_case_		:      Generator           =						(i for i in range(1 ,			(max_n + 1) ,			2 ))
	# It's useless to test even numbers as they will not be prime
	if max_n > 2:
		yield 2  # Because 2 will not be tested, it's necessary to yield it now
	for i in (n for n in numbers if n > 1):
		snake_case_		:      int           =						int(math.sqrt(__a ) ) + 1
		for j in range(3 ,			__a ,			2 ):
			# As we removed the even numbers, we don't need them now
			if (i % j) == 0:
				break
		else:
			yield i


def 				SCREAMING_SNAKE_CASE__    (     ):
	from timeit import timeit

	snake_case_		:      str           =						'from __main__ import slow_primes, primes, fast_primes'
	print(timeit('slow_primes(1_000_000_000_000)' ,			setup=__a ,			number=1_00_00_00 ) )
	print(timeit('primes(1_000_000_000_000)' ,			setup=__a ,			number=1_00_00_00 ) )
	print(timeit('fast_primes(1_000_000_000_000)' ,			setup=__a ,			number=1_00_00_00 ) )


if __name__ == "__main__":
						_SCREAMING_SNAKE_CASE   						=		int(input("""Calculate primes up to:\n>> """).strip())
						for ret in primes(number):
												print(ret)
						benchmark()






"""simple docstring"""






from transformers import ProcessorMixin




class    __snake_case(					__A       ):
    _A       = '''AutoFeatureExtractor'''
    _A       = '''AutoTokenizer'''
