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January 17, 2012 00:12
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Mi implementación del problema #7 del proyecto Euler
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#!/usr/bin/python | |
# -*- coding: utf-8 -*- | |
""" | |
Implementación del problema #7 del proyecto Euler (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 10,001st prime number? | |
https://gist.github.com/1623748 | |
""" | |
from math import sqrt | |
from itertools import count, izip, chain, ifilter | |
def _hasMoreDivisors(n): | |
max_candidate = int(sqrt(n)) + 1 | |
range = chain([2], xrange(3, max_candidate, 2)) | |
return any(x for x in range if (n % x) == 0) | |
def isPrime(n): | |
return n == 2 or n >= 3 and (n % 2) != 0 and not _hasMoreDivisors(n) | |
def allPrimes(): | |
return chain([2], ifilter(isPrime, count(3, step=2))) | |
def findNthPrime(n): | |
for i, r in izip(xrange(n), allPrimes()): | |
pass | |
return r | |
if __name__ == '__main__': | |
print findNthPrime(10001) |
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