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89 lines
1.9 KiB
Python
89 lines
1.9 KiB
Python
"""
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Project Euler Problem 7: https://projecteuler.net/problem=7
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10001st prime
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By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we
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can see that the 6th prime is 13.
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What is the 10001st prime number?
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References:
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- https://en.wikipedia.org/wiki/Prime_number
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"""
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def isprime(number: int) -> bool:
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"""
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Determines whether the given number is prime or not
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>>> isprime(2)
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True
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>>> isprime(15)
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False
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>>> isprime(29)
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True
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"""
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for i in range(2, int(number**0.5) + 1):
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if number % i == 0:
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return False
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return True
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def solution(nth: int = 10001) -> int:
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"""
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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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>>> solution(3.4)
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5
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>>> solution(0)
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Traceback (most recent call last):
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...
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ValueError: Parameter nth must be greater than or equal to one.
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>>> solution(-17)
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Traceback (most recent call last):
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...
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ValueError: Parameter nth must be greater than or equal to one.
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>>> solution([])
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Traceback (most recent call last):
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...
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TypeError: Parameter nth must be int or castable to int.
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>>> solution("asd")
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Traceback (most recent call last):
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...
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TypeError: Parameter nth must be int or castable to int.
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"""
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try:
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nth = int(nth)
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except (TypeError, ValueError):
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raise TypeError("Parameter nth must be int or castable to int.") from None
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if nth <= 0:
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raise ValueError("Parameter nth must be greater than or equal to one.")
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primes: list[int] = []
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num = 2
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while len(primes) < nth:
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if isprime(num):
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primes.append(num)
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num += 1
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else:
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num += 1
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return primes[len(primes) - 1]
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if __name__ == "__main__":
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print(f"{solution() = }")
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