""" Project 7: https://projecteuler.net/problem=7 By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13 We can see that the 6th prime is 13. What is the Nth prime number? """ import itertools import math def prime_check(number: int) -> bool: """Determines whether a given number is prime or not""" if number % 2 == 0 and number > 2: return False return all(number % i for i in range(3, int(math.sqrt(number)) + 1, 2)) def prime_generator(): num = 2 while True: if prime_check(num): yield num num += 1 def solution(nth: int = 10001) -> int: """Returns the n-th prime number. >>> solution(6) 13 >>> solution(1) 2 >>> solution(3) 5 >>> solution(20) 71 >>> solution(50) 229 >>> solution(100) 541 >>> solution() 104743 """ return next(itertools.islice(prime_generator(), nth - 1, nth)) if __name__ == "__main__": print(solution(int(input().strip())))