{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import math\n",
    "NUMBER = 100000000\n",
    "\n",
    "def get_prime_list(limit):\n",
    "    limit_sqrt = int(math.ceil(math.sqrt(limit)))\n",
    "    prime_bool_list = [False] * 2 + [True] * (limit - 2)\n",
    "    for prime_cand in range(2,limit_sqrt):\n",
    "        if prime_bool_list[prime_cand]:\n",
    "            for composite in range(prime_cand ** 2, limit, prime_cand):\n",
    "                prime_bool_list[composite] = False\n",
    "    return [i for i, b in enumerate(prime_bool_list) if b]\n",
    "\n",
    "prime_list = get_prime_list(NUMBER)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1145141\n",
      "1145143\n",
      "11145143\n",
      "11451403\n",
      "11451449\n",
      "11451467\n",
      "11451497\n",
      "11451499\n",
      "21145141\n",
      "31145143\n",
      "81145147\n",
      "91145149\n"
     ]
    }
   ],
   "source": [
    "for prime in [str(prime) for prime in prime_list]:\n",
    "    if \"114514\" in prime:\n",
    "        print(prime)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "IPython (pyenv:3.5.1)",
   "language": "python",
   "name": "pyenv_3.5.1"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}