



import math
from collections.abc import Iterator
from itertools import takewhile

def      lowerCAmelCase_					(  _lowercase    :       int)							->	bool:







			"""simple docstring"""

			if 1 < number < 4:
						# 2 and 3 are primes
						return True
			elif number < 2 or number % 2 == 0 or number % 3 == 0:
						# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
						return False

			# All primes number are in format of 6k +/- 1
			for i in range(5						,       int(math.sqrt(_lowercase) + 1)						,       6):
						if number % i == 0 or number % (i + 2) == 0:
									return False
			return True

def      lowerCAmelCase_					(  )							->	Iterator[int]:







			"""simple docstring"""
			a__       :						Optional[int]							=  2
			while True:
						if is_prime(_lowercase):
									yield num
						num += 1

def      lowerCAmelCase_					(  _lowercase    :       int = 200_0000)							->	int:







			"""simple docstring"""
			return sum(takewhile(lambda _lowercase: x < n						,       prime_generator()))


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









from __future__ import annotations

def      lowerCAmelCase_					(  _lowercase    :       float						,       _lowercase    :       float						,       _lowercase    :       float						,       )							->	tuple[str, float]:







			"""simple docstring"""
			if (stress, tangential_force, area).count(0) != 1:
						raise ValueError("""You cannot supply more or less than 2 values""")
			elif stress < 0:
						raise ValueError("""Stress cannot be negative""")
			elif tangential_force < 0:
						raise ValueError("""Tangential Force cannot be negative""")
			elif area < 0:
						raise ValueError("""Area cannot be negative""")
			elif stress == 0:
						return (
						    "stress",
						    tangential_force / area,
						)
			elif tangential_force == 0:
						return (
						    "tangential_force",
						    stress * area,
						)
			else:
						return (
						    "area",
						    tangential_force / stress,
						)


if __name__ == "__main__":
		import doctest

		doctest.testmod()




