Implemented solutions 5-7 in ipython.

ipython/EulerProblem006.ipynb

@@ -0,0 +1,94 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Euler Problem 6\n",
+    "\n",
+    "The sum of the squares of the first ten natural numbers is,\n",
+    "\n",
+    "$1^2 + 2^2 + ... + 10^2 = 385$\n",
+    "\n",
+    "The square of the sum of the first ten natural numbers is,\n",
+    "\n",
+    "$(1 + 2 + ... + 10)^2 = 55^2 = 3025$\n",
+    "\n",
+    "Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is $3025 − 385 = 2640$.\n",
+    "\n",
+    "Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Okay, this is as straightforward as it can get."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "25164150\n"
+     ]
+    }
+   ],
+   "source": [
+    "s = sum([x for x in range(1, 101)])**2  - sum([x**2 for x in range(1, 101)])\n",
+    "assert(s == 25164150)\n",
+    "print(s)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "General solution."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "def diff_between_sum_of_squares_and_square_sum(n):\n",
+    "    return sum([x for x in range(1, n + 1)])**2  - sum([x**2 for x in range(1, n + 1)])\n",
+    "\n",
+    "assert(diff_between_sum_of_squares_and_square_sum(100) == 25164150)\n",
+    "assert(diff_between_sum_of_squares_and_square_sum(10) == 2640)"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.5.4"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}