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91 lines
2.1 KiB
91 lines
2.1 KiB
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "04264893",
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"metadata": {},
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"outputs": [],
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"source": [
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"r = 7237005577332262213973186563042994240857116359379907606001950938285454250989"
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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": 2,
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"id": "1603b293",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"2^2 * 3 * 11 * 198211423230930754013084525763697 * 276602624281642239937218680557139826668747"
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]
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},
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"execution_count": 2,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"factor(r - 1)"
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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": 3,
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"id": "425ceac7",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"7237005577332262213973186563042994240857116359379907606001950938285454250988\n",
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"1570463851528226261927580272323658009530148727742783848239914322803198255651\n",
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"4908983020090465803374304318106080751443647916949975825112097080460587568629\n",
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"7119675135705137915307919240607293966034195415655343409829245710729128040338\n",
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"2975531125133123119648879457563281269120703404158613135195788908093573672641\n"
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]
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}
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],
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"source": [
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"gen = 2\n",
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"print(pow(gen, (r - 1) / 2, r))\n",
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"print(pow(gen, (r - 1) / 3, r))\n",
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"print(pow(gen, (r - 1) / 11, r))\n",
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"print(pow(gen, (r - 1) / 198211423230930754013084525763697, r))\n",
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"print(pow(gen, (r - 1) / 276602624281642239937218680557139826668747, r))"
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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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"id": "f4c58ca4",
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"metadata": {},
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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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"kernelspec": {
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"display_name": "SageMath 9.2",
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"language": "sage",
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"name": "sagemath"
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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": "3.9.7"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 5
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}
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