{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Euler Problem 29\n",
    "\n",
    "Consider all integer combinations of ab for 2 ≤ a ≤ 5 and 2 ≤ b ≤ 5:\n",
    "\n",
    "$2^2=4, 2^3=8, 2^4=16, 2^5=32$\n",
    "\n",
    "32=9, 33=27, 34=81, 35=243\n",
    "\n",
    "42=16, 43=64, 44=256, 45=1024\n",
    "\n",
    "52=25, 53=125, 54=625, 55=3125\n",
    "\n",
    "If they are then placed in numerical order, with any repeats removed, we get the following sequence of 15 distinct terms:\n",
    "\n",
    "4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024, 3125\n",
    "\n",
    "How many distinct terms are in the sequence generated by ab for 2 ≤ a ≤ 100 and 2 ≤ b ≤ 100?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "comopletion_date": "",
  "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": "3.6.3"
  },
  "tags": []
 },
 "nbformat": 4,
 "nbformat_minor": 2
}