60 lines
1.3 KiB
Plaintext
60 lines
1.3 KiB
Plaintext
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{
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"cells": [
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Euler Problem 29\n",
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"\n",
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"Consider all integer combinations of ab for 2 ≤ a ≤ 5 and 2 ≤ b ≤ 5:\n",
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"\n",
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"$2^2=4, 2^3=8, 2^4=16, 2^5=32$\n",
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"\n",
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"32=9, 33=27, 34=81, 35=243\n",
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"\n",
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"42=16, 43=64, 44=256, 45=1024\n",
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"\n",
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"52=25, 53=125, 54=625, 55=3125\n",
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"\n",
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"If they are then placed in numerical order, with any repeats removed, we get the following sequence of 15 distinct terms:\n",
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"\n",
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"4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024, 3125\n",
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"\n",
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"How many distinct terms are in the sequence generated by ab for 2 ≤ a ≤ 100 and 2 ≤ b ≤ 100?"
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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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"comopletion_date": "",
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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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},
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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": "3.6.3"
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},
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"tags": []
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"nbformat": 4,
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