Home
About
Resume
Projects
Links
Blog
Download notebook
{ "cells": [ { "cell_type": "markdown", "id": "a469358e-2f57-4bd6-9c8d-c59f3d77920b", "metadata": {}, "source": [ "### Q41\n", "What is the largest n-digit pandigital prime that exists?" ] }, { "cell_type": "code", "execution_count": 1, "id": "820c6f59-d5d1-4f67-a379-b41d8bb337ac", "metadata": {}, "outputs": [], "source": [ "def is_prime(n):\n", " for i in range(2,int(n**0.5)+1):\n", " if (n%i) == 0:\n", " return False\n", " return True\n", "\n", "def distinct_digit_generator(candidates,selected=None):\n", " if selected is None:\n", " selected = []\n", " if len(candidates) == 0:\n", " yield int(''.join(str(i) for i in selected))\n", " for i in range(len(candidates)):\n", " temp_c = candidates.copy()\n", " temp_s = selected+[temp_c.pop(i)]\n", " yield from distinct_digit_generator(temp_c,temp_s)\n", " \n", "def largest_pandigital_prime():\n", " digit_set = [7,6,5,4,3,2,1]\n", " for n in distinct_digit_generator(digit_set):\n", " if is_prime(n): return n" ] }, { "cell_type": "code", "execution_count": 2, "id": "c6e1c4b2-349e-4c68-bba1-544b78569f11", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 127 µs, sys: 37 µs, total: 164 µs\n", "Wall time: 165 µs\n" ] }, { "data": { "text/plain": [ "765432313" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%%time\n", "largest_pandigital_prime()" ] }, { "cell_type": "code", "execution_count": null, "id": "050e5110-c98c-4ec8-a5a4-46ae3facb5ef", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }
Previous Notebook:
Project Euler Q40
Next Notebook:
Project Euler Q42
Loading