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# lujanfernaud's solution

## to Nth Prime in the Ruby Track

Published at Jul 13 2018 · 0 comments
Instructions
Test suite
Solution

#### Note:

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.

For installation and learning resources, refer to the exercism help page.

For running the tests provided, you will need the Minitest gem. Open a terminal window and run the following command to install minitest:

``````gem install minitest
``````

If you would like color output, you can `require 'minitest/pride'` in the test file, or note the alternative instruction, below, for running the test file.

Run the tests from the exercise directory using the following command:

``````ruby nth_prime_test.rb
``````

To include color from the command line:

``````ruby -r minitest/pride nth_prime_test.rb
``````

## Source

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.

### nth_prime_test.rb

``````require 'minitest/autorun'
require_relative 'nth_prime'

# Common test data version: 1.0.0 016d65b
class NthPrimeTest < Minitest::Test
def test_first_prime
# skip
assert_equal 2, Prime.nth(1)
end

def test_second_prime
skip
assert_equal 3, Prime.nth(2)
end

def test_sixth_prime
skip
assert_equal 13, Prime.nth(6)
end

def test_big_prime
skip
assert_equal 104743, Prime.nth(10001)
end

def test_there_is_no_zeroth_prime
skip
assert_raises(ArgumentError) { Prime.nth(0) }
end

# Problems in exercism evolve over time, as we find better ways to ask
# questions.
# The version number refers to the version of the problem you solved,
#
# Define a constant named VERSION inside of the top level BookKeeping
# module, which may be placed near the end of your file.
#
# In your file, it will look like this:
#
# module BookKeeping
#   VERSION = 1 # Where the version number matches the one in the test.
# end
#
# http://ruby-doc.org/docs/ruby-doc-bundle/UsersGuide/rg/constants.html

def test_bookkeeping
skip
assert_equal 1, BookKeeping::VERSION
end
end``````
``````module Prime
def self.nth(number)
raise ArgumentError, "0 is not a prime" if number.zero?

primes    = [2]
candidate = 3

while number > primes.length
primes.each do |prime|
if prime > Math.sqrt(candidate)
primes << candidate
candidate += 2
break
elsif (candidate % prime).zero?
candidate += 2
break
end
end
end

primes.last
end
end

module BookKeeping
VERSION = 1
end``````