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epequeno's solution

to Nth Prime in the Rust Track

Published at Dec 19 2018 · 0 comments
Test suite


This exercise has changed since this solution was written.

Given a number n, determine what the nth prime is.

By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13.

If your language provides methods in the standard library to deal with prime numbers, pretend they don't exist and implement them yourself.

Rust Installation

Refer to the exercism help page for Rust installation and learning resources.

Writing the Code

Execute the tests with:

$ cargo test

All but the first test have been ignored. After you get the first test to pass, open the tests source file which is located in the tests directory and remove the #[ignore] flag from the next test and get the tests to pass again. Each separate test is a function with #[test] flag above it. Continue, until you pass every test.

If you wish to run all tests without editing the tests source file, use:

$ cargo test -- --ignored

To run a specific test, for example some_test, you can use:

$ cargo test some_test

If the specific test is ignored use:

$ cargo test some_test -- --ignored

To learn more about Rust tests refer to the online test documentation

Make sure to read the Modules chapter if you haven't already, it will help you with organizing your files.

Feedback, Issues, Pull Requests

The exercism/rust repository on GitHub is the home for all of the Rust exercises. If you have feedback about an exercise, or want to help implement new exercises, head over there and create an issue. Members of the rust track team are happy to help!

If you want to know more about Exercism, take a look at the contribution guide.


A variation on Problem 7 at Project Euler http://projecteuler.net/problem=7

Submitting Incomplete Solutions

It's possible to submit an incomplete solution so you can see how others have completed the exercise.


use nth_prime as np;

fn test_first_prime() {
    assert_eq!(np::nth(0), 2);

fn test_second_prime() {
    assert_eq!(np::nth(1), 3);

fn test_sixth_prime() {
    assert_eq!(np::nth(5), 13);

fn test_big_prime() {
    assert_eq!(np::nth(10000), 104743);
// https://en.wikipedia.org/wiki/Primality_test#Pseudocode
fn is_prime(n: u32) -> bool {
    if n <= 3 {
        return n > 1;
    } else if n % 2 == 0 || n % 3 == 0 {
        return false;

    let mut i = 5;
    while i * i <= n {
        if n % i == 0 || n % (i + 2) == 0 {
            return false;
        i += 6;

pub fn nth(n: u32) -> u32 {
    let n = (n + 1) as usize;

    let mut ans = vec![];
    let mut i = 0;
    loop {
        if is_prime(i) {
        i += 1;

        if ans.len() == n {
            return *ans.last().unwrap();

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