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


def 						UpperCAmelCase      (     a_						)		->     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(a_						) + 1						)		,       6						):
								if number % i == 0 or number % (i + 2) == 0:
												return False
				return True


def 						UpperCAmelCase      (     )		->     Iterator[int]:







				"""simple docstring"""



				__A             =			2
				while True:
								if is_prime(a_						):
												yield num
								num += 1


def 						UpperCAmelCase      (     a_ = 2_0_0_0_0_0_0						)		->     int:







				"""simple docstring"""



				return sum(takewhile(lambda a_						: x < n		,       prime_generator()						)						)


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


from math import log

from scipy.constants import Boltzmann, physical_constants

SCREAMING_SNAKE_CASE							:Dict										=    300  # TEMPERATURE (unit = K)


def 						UpperCAmelCase      (     a_		,       a_		,       a_		,       )		->     float:







				"""simple docstring"""



				if donor_conc <= 0:
								raise ValueError("Donor concentration should be positive"						)
				elif acceptor_conc <= 0:
								raise ValueError("Acceptor concentration should be positive"						)
				elif intrinsic_conc <= 0:
								raise ValueError("Intrinsic concentration should be positive"						)
				elif donor_conc <= intrinsic_conc:
								raise ValueError(
								    "Donor concentration should be greater than intrinsic concentration"						)
				elif acceptor_conc <= intrinsic_conc:
								raise ValueError(
								    "Acceptor concentration should be greater than intrinsic concentration"						)
				else:
								return (
								    Boltzmann
								    * T
								    * log((donor_conc * acceptor_conc) / intrinsic_conc**2						)
								    / physical_constants["electron volt"][0]
								)


if __name__ == "__main__":
					import doctest

					doctest.testmod()
