"""simple docstring"""


def 					__a   (		A    ,				A    ,				A      ):






     '''simple docstring'''



     if principal <= 0:
          raise Exception("Principal borrowed must be > 0"      )
     if rate_per_annum < 0:
          raise Exception("Rate of interest must be >= 0"      )
     if years_to_repay <= 0 or not isinstance(_lowerCAmelCase    ,				_lowerCAmelCase      ):
          raise Exception("Years to repay must be an integer > 0"      )

     # Yearly rate is divided by 12 to get monthly rate
     lowercase__				 =							rate_per_annum / 12

     # Years to repay is multiplied by 12 to get number of payments as payment is monthly
     lowercase__				 =							years_to_repay * 12

     return (
         principal
         * rate_per_month
         * (1 + rate_per_month) ** number_of_payments
         / ((1 + rate_per_month) ** number_of_payments - 1)
     )


if __name__ == "__main__":
 import doctest

 doctest.testmod()
"""simple docstring"""


import itertools
import math







def 					__a   (		A      ):






     '''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 					__a   (		):






     '''simple docstring'''



     lowercase__				 =							2
     while True:
          if is_prime(A      ):
               yield num
          num += 1







def 					__a   (		A = 1_00_01      ):






     '''simple docstring'''



     return next(itertools.islice(prime_generator()    ,				nth - 1    ,				A      )      )


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




