5**pi_is_not_in_Z.ipynb

5-pi_is_not_in_z.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "5**pi_is_not_in_Z.ipynb",
      "provenance": [],
      "authorship_tag": "ABX9TyOPpMAyOVUmwYFH5Paq7/Ue",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/gist/alfredplpl/58be63aa5d3ea8fce750d6da59123869/5-pi_is_not_in_z.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "U35LmL_roSHh",
        "outputId": "45a12f5b-b73f-452c-9164-bc7264d55b7b"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "5**pi is not in Z\n"
          ]
        }
      ],
      "source": [
        "import math\n",
        "\n",
        "EPS=1e-6\n",
        "is_in_Z=False\n",
        "for i in range(5**3,5**4):\n",
        "  if(abs(math.pi-math.log(i)/math.log(5))<EPS):\n",
        "    is_in_Z=True\n",
        "if(is_in_Z):\n",
        "  print(\"I do not know that 5**pi is in Z\")\n",
        "else:\n",
        "  print(\"5**pi is not in Z\")"
      ]
    }
  ]
}