67 lines
1.5 KiB
Plaintext
67 lines
1.5 KiB
Plaintext
{
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"cells": [
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{
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"# Euler Problem 12\n",
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"\n",
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"The sequence of triangle numbers is generated by adding the natural numbers. So the 7th triangle number would be $1 + 2 + 3 + 4 + 5 + 6 + 7 = 28$. The first ten terms would be:\n",
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"\n",
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"$1, 3, 6, 10, 15, 21, 28, 36, 45, 55, \\dots$\n",
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"\n",
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"Let us list the factors of the first seven triangle numbers:\n",
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"\n",
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"~~~\n",
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" 1: 1\n",
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" 3: 1,3\n",
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" 6: 1,2,3,6\n",
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"10: 1,2,5,10\n",
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"15: 1,3,5,15\n",
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"21: 1,3,7,21\n",
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"28: 1,2,4,7,14,28\n",
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"~~~\n",
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"\n",
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"We can see that 28 is the first triangle number to have over five divisors.\n",
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"\n",
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"What is the value of the first triangle number to have over five hundred divisors?"
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]
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},
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{
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}
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],
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"metadata": {
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"completion_date": "Sun, 31 Aug 2014, 17:07",
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"kernelspec": {
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"display_name": "Python 3",
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"language": "python",
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"name": "python3"
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"version": "3.5.4"
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"tags": [
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"triangular",
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"number"
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