{ "cells": [ { "cell_type": "markdown", "id": "7e6181f8", "metadata": {}, "source": [ "# [Permuted Multiples](https://projecteuler.net/problem=52)\n", "\n", "There's a chance you think of 1/7 when you read this problem and immediately find the answer. But if not, it doesn't take long for the computer to tell you." ] }, { "cell_type": "code", "execution_count": 1, "id": "10854a24", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "142857" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from itertools import count\n", "\n", "for n in count(1):\n", " digits = set(str(n))\n", " for x in (2, 3, 4, 5, 6):\n", " if set(str(n*x)) != digits:\n", " break\n", " else:\n", " break\n", " \n", "n" ] }, { "cell_type": "markdown", "id": "898f292d", "metadata": {}, "source": [ "#### Copyright (C) 2025 filifa\n", "\n", "This work is licensed under the [Creative Commons Attribution-ShareAlike 4.0 International license](https://creativecommons.org/licenses/by-sa/4.0/) and the [BSD Zero Clause license](https://spdx.org/licenses/0BSD.html)." ] } ], "metadata": { "kernelspec": { "display_name": "SageMath 9.5", "language": "sage", "name": "sagemath" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.2" } }, "nbformat": 4, "nbformat_minor": 5 }