Created
June 8, 2022 14:56
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 21, | |
"id": "1c194bcf", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
" 1%|▋ | 913/99999 [00:00<00:10, 9059.83it/s]" | |
] | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"2\n", | |
"0 1 1\n" | |
] | |
}, | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"100%|████████████████████████████████████████████████████████████████████████████| 99999/99999 [19:25<00:00, 85.83it/s]\n" | |
] | |
} | |
], | |
"source": [ | |
"from tqdm import tqdm\n", | |
"import time\n", | |
"\n", | |
"def ModRoot(a,n):\n", | |
" \n", | |
" r=[]\n", | |
" amod=a%n\n", | |
" for m in range(n):\n", | |
" if (m*m)%n==amod:\n", | |
" r.append(m)\n", | |
" \n", | |
" return r\n", | |
" \n", | |
"Nmax=10**5\n", | |
"Nmin=2\n", | |
"for n in tqdm(range(Nmin,Nmax+1)):\n", | |
" Mod2=ModRoot(2,n)\n", | |
" if Mod2!=[]:\n", | |
" Mod3=ModRoot(3,n)\n", | |
" if Mod3!=[]:\n", | |
" Mod5=ModRoot(5,n)\n", | |
" if Mod5!=[]:\n", | |
" #print(n)\n", | |
" for a2 in Mod2:\n", | |
" for a3 in Mod3:\n", | |
" for a5 in Mod5:\n", | |
" if (a2+a3)%n==a5:\n", | |
" print(n)\n", | |
" print(a2,a3,a5)" | |
] | |
} | |
], | |
"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": "3.8.11" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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