Sha256: 3b0799fbbf247ca7f841ad150adecf5d1a418a896ef50c977b03a4b3246dab33

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Size: 664 Bytes

Versions: 258

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Stored size: 664 Bytes

Contents

from itertools import count
from math import sqrt


def nth_prime(n):
    if n < 1:
        raise ValueError('The parameter `n` has to be a positive number.')

    known = []
    candidates = prime_candidates()

    def is_prime(m):
        sqrt_m = sqrt(m)
        for k in known:
            if k > sqrt_m:
                return True
            elif m % k == 0:
                return False
        return True

    while len(known) < n:
        x = next(candidates)
        if is_prime(x):
            known.append(x)

    return known[n - 1]


def prime_candidates():
    yield 2
    yield 3
    for n in count(6, 6):
        yield n - 1
        yield n + 1

Version data entries

258 entries across 258 versions & 1 rubygems

Version Path
trackler-2.1.0.0 tracks/python/exercises/nth-prime/example.py
trackler-2.0.8.55 tracks/python/exercises/nth-prime/example.py
trackler-2.0.8.54 tracks/python/exercises/nth-prime/example.py
trackler-2.0.8.53 tracks/python/exercises/nth-prime/example.py
trackler-2.0.8.52 tracks/python/exercises/nth-prime/example.py
trackler-2.0.8.51 tracks/python/exercises/nth-prime/example.py
trackler-2.0.8.50 tracks/python/exercises/nth-prime/example.py
trackler-2.0.8.49 tracks/python/exercises/nth-prime/example.py
trackler-2.0.8.48 tracks/python/exercises/nth-prime/example.py
trackler-2.0.8.47 tracks/python/exercises/nth-prime/example.py
trackler-2.0.8.46 tracks/python/exercises/nth-prime/example.py
trackler-2.0.8.45 tracks/python/exercises/nth-prime/example.py
trackler-2.0.8.44 tracks/python/exercises/nth-prime/example.py
trackler-2.0.8.43 tracks/python/exercises/nth-prime/example.py
trackler-2.0.8.42 tracks/python/exercises/nth-prime/example.py
trackler-2.0.8.41 tracks/python/exercises/nth-prime/example.py
trackler-2.0.8.40 tracks/python/exercises/nth-prime/example.py
trackler-2.0.8.39 tracks/python/exercises/nth-prime/example.py