{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import numpy as np\n",
    "from numba import jit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "@jit\n",
    "def is_prime_numba(n):\n",
    "    if n % 2 == 0 or n % 3 == 0:\n",
    "        return False\n",
    "    k = 1\n",
    "    limit = int(math.sqrt(n))\n",
    "    while  6 * k - 1 <= limit or  6 * k + 1 <= limit:\n",
    "        if n % (6 * k - 1) == 0 or n % (6 * k + 1) == 0:\n",
    "            return False\n",
    "        k += 1\n",
    "    return True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 loop, best of 3: 5.22 s per loop\n"
     ]
    }
   ],
   "source": [
    "%timeit is_prime_numba(2305843009213693951)"
   ]
  }
 ],
 "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": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}