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48 lines
845 B
Python
48 lines
845 B
Python
# -*- coding: utf-8 -*-
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"""
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By listing the first six prime numbers:
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2, 3, 5, 7, 11, and 13
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We can see that the 6th prime is 13. What is the Nth prime number?
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"""
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import math
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import itertools
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def primeCheck(number):
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if number % 2 == 0 and number > 2:
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return False
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return all(number % i for i in range(3, int(math.sqrt(number)) + 1, 2))
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def prime_generator():
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num = 2
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while True:
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if primeCheck(num):
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yield num
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num += 1
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def solution(n):
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"""Returns the n-th prime number.
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>>> solution(6)
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13
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>>> solution(1)
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2
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>>> solution(3)
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5
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>>> solution(20)
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71
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>>> solution(50)
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229
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>>> solution(100)
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541
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"""
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return next(itertools.islice(prime_generator(), n - 1, n))
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if __name__ == "__main__":
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print(solution(int(input().strip())))
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