74 lines
1.6 KiB
Plaintext
74 lines
1.6 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Sub-string divisibility (Euler Problem 43)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"collapsed": true
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},
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"source": [
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"The number, 1406357289, is a 0 to 9 pandigital number because it is made up of each of the digits 0 to 9 in some order, but it also has a rather interesting sub-string divisibility property.\n",
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"\n",
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"Let $d_1$ be the 1st digit, $d_2$ be the 2nd digit, and so on. In this way, we note the following:\n",
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"\n",
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"$d_2d_3d_4$=406 is divisible by 2\n",
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"\n",
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"$d_3d_4d_5$=063 is divisible by 3\n",
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"\n",
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"$d_4d_5d_6$=635 is divisible by 5\n",
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"\n",
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"$d_5d_6d_7=357$ is divisible by 7\n",
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"\n",
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"$d_6d_7d_8=572$ is divisible by 11\n",
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"\n",
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"$d_7d_8d_9=728$ is divisible by 13\n",
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"\n",
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"$d_8d_9d_{10} =289$ is divisible by 17\n",
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"\n",
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"Find the sum of all 0 to 9 pandigital numbers with this property."
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": []
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}
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],
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"metadata": {
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"completion_date": "",
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"kernelspec": {
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"display_name": "Python 3",
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"language": "python3.6",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.6.5"
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},
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"tags": [
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"pandigital",
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"divisibility"
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]
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},
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"nbformat": 4,
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"nbformat_minor": 2
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}
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