diff --git a/elixir/all-your-base/README.md b/elixir/all-your-base/README.md
new file mode 100644
index 0000000..681c187
--- /dev/null
+++ b/elixir/all-your-base/README.md
@@ -0,0 +1,69 @@
+# All Your Base
+
+Convert a number, represented as a sequence of digits in one base, to any other base.
+
+Implement general base conversion. Given a number in base **a**,
+represented as a sequence of digits, convert it to base **b**.
+
+## Note
+
+- Try to implement the conversion yourself.
+  Do not use something else to perform the conversion for you.
+
+## About [Positional Notation](https://en.wikipedia.org/wiki/Positional_notation)
+
+In positional notation, a number in base **b** can be understood as a linear
+combination of powers of **b**.
+
+The number 42, *in base 10*, means:
+
+(4 * 10^1) + (2 * 10^0)
+
+The number 101010, *in base 2*, means:
+
+(1 * 2^5) + (0 * 2^4) + (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (0 * 2^0)
+
+The number 1120, *in base 3*, means:
+
+(1 * 3^3) + (1 * 3^2) + (2 * 3^1) + (0 * 3^0)
+
+I think you got the idea!
+
+*Yes. Those three numbers above are exactly the same. Congratulations!*
+
+## Running tests
+
+Execute the tests with:
+
+```bash
+$ elixir all_your_base_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:
+
+```elixir
+# @tag :pending
+test "shouting" do
+  assert Bob.hey("WATCH OUT!") == "Whoa, chill out!"
+end
+```
+
+Or, you can enable all the tests by commenting out the
+`ExUnit.configure` line in the test suite.
+
+```elixir
+# ExUnit.configure exclude: :pending, trace: true
+```
+
+For more detailed information about the Elixir track, please
+see the [help page](http://exercism.io/languages/elixir).
+
+## Submitting Incomplete Solutions
+It's possible to submit an incomplete solution so you can see how others have completed the exercise.
diff --git a/elixir/all-your-base/all-your-base-test.exs b/elixir/all-your-base/all-your-base-test.exs
new file mode 100644
index 0000000..c2afb12
--- /dev/null
+++ b/elixir/all-your-base/all-your-base-test.exs
@@ -0,0 +1,114 @@
+if !System.get_env("EXERCISM_TEST_EXAMPLES") do
+  Code.load_file("all-your-base.exs", __DIR__)
+end
+
+ExUnit.start()
+ExUnit.configure(exclude: :pending, trace: true)
+
+defmodule AllYourBaseTest do
+  use ExUnit.Case
+
+  test "convert single bit one to decimal" do
+    assert AllYourBase.convert([1], 2, 10) == [1]
+  end
+
+  @tag :pending
+  test "convert binary to single decimal" do
+    assert AllYourBase.convert([1, 0, 1], 2, 10) == [5]
+  end
+
+  @tag :pending
+  test "convert single decimal to binary" do
+    assert AllYourBase.convert([5], 10, 2) == [1, 0, 1]
+  end
+
+  @tag :pending
+  test "convert binary to multiple decimal" do
+    assert AllYourBase.convert([1, 0, 1, 0, 1, 0], 2, 10) == [4, 2]
+  end
+
+  @tag :pending
+  test "convert decimal to binary" do
+    assert AllYourBase.convert([4, 2], 10, 2) == [1, 0, 1, 0, 1, 0]
+  end
+
+  @tag :pending
+  test "convert trinary to hexadecimal" do
+    assert AllYourBase.convert([1, 1, 2, 0], 3, 16) == [2, 10]
+  end
+
+  @tag :pending
+  test "convert hexadecimal to trinary" do
+    assert AllYourBase.convert([2, 10], 16, 3) == [1, 1, 2, 0]
+  end
+
+  @tag :pending
+  test "convert 15-bit integer" do
+    assert AllYourBase.convert([3, 46, 60], 97, 73) == [6, 10, 45]
+  end
+
+  @tag :pending
+  test "convert empty list" do
+    assert AllYourBase.convert([], 2, 10) == nil
+  end
+
+  @tag :pending
+  test "convert single zero" do
+    assert AllYourBase.convert([0], 10, 2) == [0]
+  end
+
+  @tag :pending
+  test "convert multiple zeros" do
+    assert AllYourBase.convert([0, 0, 0], 10, 2) == [0]
+  end
+
+  @tag :pending
+  test "convert leading zeros" do
+    assert AllYourBase.convert([0, 6, 0], 7, 10) == [4, 2]
+  end
+
+  @tag :pending
+  test "convert negative digit" do
+    assert AllYourBase.convert([1, -1, 1, 0, 1, 0], 2, 10) == nil
+  end
+
+  @tag :pending
+  test "convert invalid positive digit" do
+    assert AllYourBase.convert([1, 2, 1, 0, 1, 0], 2, 10) == nil
+  end
+
+  @tag :pending
+  test "convert first base is one" do
+    assert AllYourBase.convert([0], 1, 10) == nil
+  end
+
+  @tag :pending
+  test "convert second base is one" do
+    assert AllYourBase.convert([1, 0, 1, 0, 1, 0], 2, 1) == nil
+  end
+
+  @tag :pending
+  test "convert first base is zero" do
+    assert AllYourBase.convert([], 0, 10) == nil
+  end
+
+  @tag :pending
+  test "convert second base is zero" do
+    assert AllYourBase.convert([7], 10, 0) == nil
+  end
+
+  @tag :pending
+  test "convert first base is negative" do
+    assert AllYourBase.convert([1], -2, 10) == nil
+  end
+
+  @tag :pending
+  test "convert second base is negative" do
+    assert AllYourBase.convert([1], 2, -7) == nil
+  end
+
+  @tag :pending
+  test "convert both bases are negative" do
+    assert AllYourBase.convert([1], -2, -7) == nil
+  end
+end
diff --git a/elixir/all-your-base/all-your-base.exs b/elixir/all-your-base/all-your-base.exs
new file mode 100644
index 0000000..02d6011
--- /dev/null
+++ b/elixir/all-your-base/all-your-base.exs
@@ -0,0 +1,17 @@
+defmodule AllYourBase do
+  @doc """
+  Given a number in base a, represented as a sequence of digits, converts it to base b,
+  or returns nil if either of the bases are less than 2
+  """
+
+  @spec convert(list, integer, integer) :: list
+  def convert(digits, base_a, base_b) do
+    cond do
+      base_a < 2 || base_b < 2 ->
+        nil
+
+      true ->
+        ""
+    end
+  end
+end
diff --git a/elixir/nth-prime/README.md b/elixir/nth-prime/README.md
new file mode 100644
index 0000000..72dc0c2
--- /dev/null
+++ b/elixir/nth-prime/README.md
@@ -0,0 +1,50 @@
+# Nth Prime
+
+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:
+
+```bash
+$ 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:
+
+```elixir
+# @tag :pending
+test "shouting" do
+  assert Bob.hey("WATCH OUT!") == "Whoa, chill out!"
+end
+```
+
+Or, you can enable all the tests by commenting out the
+`ExUnit.configure` line in the test suite.
+
+```elixir
+# ExUnit.configure exclude: :pending, trace: true
+```
+
+For more detailed information about the Elixir track, please
+see the [help page](http://exercism.io/languages/elixir).
+
+## Source
+
+A variation on Problem 7 at Project Euler [http://projecteuler.net/problem=7](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.
diff --git a/elixir/nth-prime/nth_prime.exs b/elixir/nth-prime/nth_prime.exs
new file mode 100644
index 0000000..999d40d
--- /dev/null
+++ b/elixir/nth-prime/nth_prime.exs
@@ -0,0 +1,26 @@
+defmodule Prime do
+  @doc """
+  Generates the nth prime.
+  """
+  @spec nth(non_neg_integer) :: non_neg_integer
+  def nth(count) when count > 0 do
+    Stream.iterate(1, &(&1 + 1))
+    |> Stream.filter(&prime?/1)
+    |> Enum.at(count - 1)
+  end
+
+  defp prime?(n) do
+    case n do
+      _n when n <= 1 ->
+        false
+
+      2 ->
+        true
+
+      _ ->
+        2..round(:math.sqrt(n))
+        |> Enum.filter(&(rem(n, &1) == 0))
+        |> Enum.empty?()
+    end
+  end
+end
diff --git a/elixir/nth-prime/nth_prime_test.exs b/elixir/nth-prime/nth_prime_test.exs
new file mode 100644
index 0000000..0012ae8
--- /dev/null
+++ b/elixir/nth-prime/nth_prime_test.exs
@@ -0,0 +1,35 @@
+if !System.get_env("EXERCISM_TEST_EXAMPLES") do
+  Code.load_file("nth_prime.exs", __DIR__)
+end
+
+ExUnit.start()
+ExUnit.configure(trace: true)
+
+defmodule NthPrimeTest do
+  use ExUnit.Case
+
+  # @tag :pending
+  test "first prime" do
+    assert Prime.nth(1) == 2
+  end
+
+  @tag :pending
+  test "second prime" do
+    assert Prime.nth(2) == 3
+  end
+
+  @tag :pending
+  test "sixth prime" do
+    assert Prime.nth(6) == 13
+  end
+
+  @tag :pending
+  test "100th prime" do
+    assert Prime.nth(100) == 541
+  end
+
+  @tag :pending
+  test "weird case" do
+    catch_error(Prime.nth(0))
+  end
+end
diff --git a/elixir/phone-number/phone_number.exs b/elixir/phone-number/phone_number.exs
index 1ec6425..ec2d967 100644
--- a/elixir/phone-number/phone_number.exs
+++ b/elixir/phone-number/phone_number.exs
@@ -24,6 +24,17 @@ defmodule Phone do
   """
   @spec number(String.t()) :: String.t()
   def number(raw) do
+    n =
+      Regex.scan(~r/\d/, raw)
+      |> Enum.join()
+      |> String.replace_prefix("1", "")
+
+    if String.length(n) == 10 && not Regex.match?(~r/[01]/, String.at(n, 3)) &&
+         not Regex.match?(~r/[01]/, String.at(n, 0)) && not Regex.match?(~r/[a-z]/i, raw) do
+      n
+    else
+      "0000000000"
+    end
   end
 
   @doc """
@@ -48,6 +59,7 @@ defmodule Phone do
   """
   @spec area_code(String.t()) :: String.t()
   def area_code(raw) do
+    String.slice(number(raw), 0..2)
   end
 
   @doc """
@@ -72,5 +84,7 @@ defmodule Phone do
   """
   @spec pretty(String.t()) :: String.t()
   def pretty(raw) do
+    n = number(raw)
+    "(#{String.slice(n, 0..2)}) #{String.slice(n, 3..5)}-#{String.slice(n, 6..9)}"
   end
 end
diff --git a/elixir/phone-number/phone_number_test.exs b/elixir/phone-number/phone_number_test.exs
index 8c0b3d0..bf9ee2b 100644
--- a/elixir/phone-number/phone_number_test.exs
+++ b/elixir/phone-number/phone_number_test.exs
@@ -3,7 +3,7 @@ if !System.get_env("EXERCISM_TEST_EXAMPLES") do
 end
 
 ExUnit.start()
-ExUnit.configure(exclude: :pending, trace: true)
+ExUnit.configure(trace: true)
 
 defmodule PhoneTest do
   use ExUnit.Case
diff --git a/elixir/roman-numerals/README.md b/elixir/roman-numerals/README.md
new file mode 100644
index 0000000..7f9f7e1
--- /dev/null
+++ b/elixir/roman-numerals/README.md
@@ -0,0 +1,84 @@
+# Roman Numerals
+
+Write a function to convert from normal numbers to Roman Numerals.
+
+The Romans were a clever bunch. They conquered most of Europe and ruled
+it for hundreds of years. They invented concrete and straight roads and
+even bikinis. One thing they never discovered though was the number
+zero. This made writing and dating extensive histories of their exploits
+slightly more challenging, but the system of numbers they came up with
+is still in use today. For example the BBC uses Roman numerals to date
+their programmes.
+
+The Romans wrote numbers using letters - I, V, X, L, C, D, M. (notice
+these letters have lots of straight lines and are hence easy to hack
+into stone tablets).
+
+```text
+ 1  => I
+10  => X
+ 7  => VII
+```
+
+There is no need to be able to convert numbers larger than about 3000.
+(The Romans themselves didn't tend to go any higher)
+
+Wikipedia says: Modern Roman numerals ... are written by expressing each
+digit separately starting with the left most digit and skipping any
+digit with a value of zero.
+
+To see this in practice, consider the example of 1990.
+
+In Roman numerals 1990 is MCMXC:
+
+1000=M
+900=CM
+90=XC
+
+2008 is written as MMVIII:
+
+2000=MM
+8=VIII
+
+See also: http://www.novaroma.org/via_romana/numbers.html
+
+## Running tests
+
+Execute the tests with:
+
+```bash
+$ elixir roman_numerals_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:
+
+```elixir
+# @tag :pending
+test "shouting" do
+  assert Bob.hey("WATCH OUT!") == "Whoa, chill out!"
+end
+```
+
+Or, you can enable all the tests by commenting out the
+`ExUnit.configure` line in the test suite.
+
+```elixir
+# ExUnit.configure exclude: :pending, trace: true
+```
+
+For more detailed information about the Elixir track, please
+see the [help page](http://exercism.io/languages/elixir).
+
+## Source
+
+The Roman Numeral Kata [http://codingdojo.org/cgi-bin/index.pl?KataRomanNumerals](http://codingdojo.org/cgi-bin/index.pl?KataRomanNumerals)
+
+## Submitting Incomplete Solutions
+It's possible to submit an incomplete solution so you can see how others have completed the exercise.
diff --git a/elixir/roman-numerals/roman.exs b/elixir/roman-numerals/roman.exs
new file mode 100644
index 0000000..5d94162
--- /dev/null
+++ b/elixir/roman-numerals/roman.exs
@@ -0,0 +1,35 @@
+defmodule Roman do
+  @romans [
+    {"M", 1000},
+    {"CM", 900},
+    {"D", 500},
+    {"CD", 400},
+    {"C", 100},
+    {"XC", 90},
+    {"L", 50},
+    {"XL", 40},
+    {"X", 10},
+    {"IX", 9},
+    {"V", 5},
+    {"IV", 4},
+    {"I", 1}
+  ]
+
+  @doc """
+  Convert the number to a roman number.
+  """
+  @spec numerals(pos_integer) :: String.t()
+  def numerals(number) do
+    numerals(@romans, number, "")
+  end
+
+  defp numerals(_romans, 0, res), do: res
+
+  defp numerals([{_letter, number} | t], c, res) when c < number do
+    numerals(t, c, res)
+  end
+
+  defp numerals([{letter, number} | _t] = list, c, res) do
+    numerals(list, c - number, res <> letter)
+  end
+end
diff --git a/elixir/roman-numerals/roman_numerals_test.exs b/elixir/roman-numerals/roman_numerals_test.exs
new file mode 100644
index 0000000..761c51f
--- /dev/null
+++ b/elixir/roman-numerals/roman_numerals_test.exs
@@ -0,0 +1,100 @@
+if !System.get_env("EXERCISM_TEST_EXAMPLES") do
+  Code.load_file("roman.exs", __DIR__)
+end
+
+ExUnit.start()
+ExUnit.configure(trace: true)
+
+defmodule RomanTest do
+  use ExUnit.Case
+
+  # @tag :pending
+  test "1" do
+    assert Roman.numerals(1) == "I"
+  end
+
+  @tag :pending
+  test "2" do
+    assert Roman.numerals(2) == "II"
+  end
+
+  @tag :pending
+  test "3" do
+    assert Roman.numerals(3) == "III"
+  end
+
+  @tag :pending
+  test "4" do
+    assert Roman.numerals(4) == "IV"
+  end
+
+  @tag :pending
+  test "5" do
+    assert Roman.numerals(5) == "V"
+  end
+
+  @tag :pending
+  test "6" do
+    assert Roman.numerals(6) == "VI"
+  end
+
+  @tag :pending
+  test "9" do
+    assert Roman.numerals(9) == "IX"
+  end
+
+  @tag :pending
+  test "27" do
+    assert Roman.numerals(27) == "XXVII"
+  end
+
+  @tag :pending
+  test "48" do
+    assert Roman.numerals(48) == "XLVIII"
+  end
+
+  @tag :pending
+  test "59" do
+    assert Roman.numerals(59) == "LIX"
+  end
+
+  @tag :pending
+  test "93" do
+    assert Roman.numerals(93) == "XCIII"
+  end
+
+  @tag :pending
+  test "141" do
+    assert Roman.numerals(141) == "CXLI"
+  end
+
+  @tag :pending
+  test "163" do
+    assert Roman.numerals(163) == "CLXIII"
+  end
+
+  @tag :pending
+  test "402" do
+    assert Roman.numerals(402) == "CDII"
+  end
+
+  @tag :pending
+  test "575" do
+    assert Roman.numerals(575) == "DLXXV"
+  end
+
+  @tag :pending
+  test "911" do
+    assert Roman.numerals(911) == "CMXI"
+  end
+
+  @tag :pending
+  test "1024" do
+    assert Roman.numerals(1024) == "MXXIV"
+  end
+
+  @tag :pending
+  test "3000" do
+    assert Roman.numerals(3000) == "MMM"
+  end
+end
diff --git a/ruby/nth-prime/nth_prime.rb b/ruby/nth-prime/nth_prime.rb
index 4915b10..ff864a8 100644
--- a/ruby/nth-prime/nth_prime.rb
+++ b/ruby/nth-prime/nth_prime.rb
@@ -3,16 +3,13 @@ class Prime
 
   def self.nth(n)
     raise ArgumentError.new('N must be positive') if n < 1
-    primes ||= [2, 3]
-    curr = primes.last
-    while n > primes.length
-      curr += 2
-      unless primes.any? { |p| curr % p == 0 }
-        # very naive and slow :(
-        primes.push(curr)
-      end
-    end
-    primes[n - 1]
+    sieve(50 * n)[n - 1]
+  end
+
+  def self.sieve(n)
+    (2..Math.sqrt(n)).each_with_object([nil, nil, *2..n]) do |p, res|
+      (p*p).step(n, p) { |m| res[m] = nil }
+    end.compact
   end
 end
 
diff --git a/ruby/sieve/sieve.rb b/ruby/sieve/sieve.rb
index 1c70034..9e8227c 100644
--- a/ruby/sieve/sieve.rb
+++ b/ruby/sieve/sieve.rb
@@ -1,20 +1,18 @@
 class Sieve
-  @num
-
   def initialize(base)
     @num = base
   end
 
   def primes
-    primes = (0..@num).to_a
-    primes[0] = primes[1] = nil
-    primes.select{|p| p && p*p < @num}.each do |p|
-      (p*p).step(@num, p) {|m| primes[m] = nil}
-    end
-    primes.compact
+    (2..Math.sqrt(@num)).each_with_object([nil, nil, *2..@num]) do |p, res|
+      (p*p).step(@num, p) { |m| res[m] = nil }
+    end.compact
   end
 end
 
 module BookKeeping
   VERSION = 1
 end
+
+
+