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to Nth Prime in the Elixir Track

Published at Jul 13 2018 · 0 comments
Test suite


This solution was written on an old version of Exercism. The tests below might not correspond to the solution code, and the exercise may have changed since this code 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.

Running tests

Execute the tests with:

$ elixir nth_prime_test.exs

Pending tests

In the test suites, all but the first test have been skipped.

Once you get a test passing, you can unskip the next one by commenting out the relevant @tag :pending with a # symbol.

For example:

# @tag :pending
test "shouting" do
  assert Bob.hey("WATCH OUT!") == "Whoa, chill out!"

Or, you can enable all the tests by commenting out the ExUnit.configure line in the test suite.

# ExUnit.configure exclude: :pending, trace: true

For more detailed information about the Elixir track, please see the help page.


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.


if !System.get_env("EXERCISM_TEST_EXAMPLES") do
  Code.load_file("nth_prime.exs", __DIR__)

ExUnit.configure(exclude: :pending, trace: true)

defmodule NthPrimeTest do
  use ExUnit.Case

  # @tag :pending
  test "first prime" do
    assert Prime.nth(1) == 2

  @tag :pending
  test "second prime" do
    assert Prime.nth(2) == 3

  @tag :pending
  test "sixth prime" do
    assert Prime.nth(6) == 13

  @tag :pending
  test "100th prime" do
    assert Prime.nth(100) == 541

  @tag :pending
  test "weird case" do
defmodule Prime do

  @doc """
  Generates the nth prime.
  @spec nth(non_neg_integer) :: non_neg_integer
  def nth(count) when count <= 0, do: raise ArgumentError
  def nth(count) do
    Stream.unfold([], &stack_primes/1)
    |> Enum.at(count-1)

  defp stack_primes([]), do: {2, [2]}
  defp stack_primes([n|st]) do
    np = next_prime(n+1, [n|st])
    {np, [np, n|st]}

  defp next_prime(n, s) do
    cond do
      Enum.any? s, &(rem(n,&1) == 0) -> next_prime(n + 1, s)
      true -> n


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