def  _lowerCamelCase					(   a_				: float						,			a_				: float						,			a_				: int):
			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(a_						,			a_):
						raise Exception('''Years to repay must be an integer > 0''')

			# Yearly rate is divided by 12 to get monthly rate
			lowerCamelCase						:Tuple						  =     rate_per_annum / 12

			# Years to repay is multiplied by 12 to get number of payments as payment is monthly
			lowerCamelCase						:Dict						  =     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()




import math





def  _lowerCamelCase					(   a_				: int):

			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  _lowerCamelCase					(   a_				: float = 0.1):
			lowerCamelCase						:Dict						  =     3
			lowerCamelCase						:List[Any]						  =     3

			while primes / (2 * j - 1) >= ratio:
						for i in range(j * j + j + 1						,			(j + 2) * (j + 2)						,			j + 1):
									primes += is_prime(a_)
						j += 2
			return j


if __name__ == "__main__":
			import doctest

			doctest.testmod()



