Created
September 2, 2019 05:11
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 26, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"[9, 40] [[0, 0], [1, 1], [1, 3], [2, 1], [2, 2]] 4\n", | |
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"[[0, 0], [9, 40]]\n" | |
] | |
} | |
], | |
"source": [ | |
"import math\n", | |
"import numpy as np\n", | |
"\n", | |
"n=10\n", | |
"N=10000\n", | |
"A_B=[[0,0]]\n", | |
"A=3\n", | |
"B=4\n", | |
"cnt2=0\n", | |
"\n", | |
"for s in range(1,N+1):\n", | |
" if(s%100==0):\n", | |
" print(s)\n", | |
" for t in range (1,s+1):\n", | |
" if (((s+t)%2)==0):\n", | |
" continue\n", | |
" if (math.gcd(s,t))!=1:\n", | |
" continue\n", | |
" A=s**2-t**2\n", | |
" B=2*s*t\n", | |
"\n", | |
" a_b=[[0,0]]\n", | |
" cnt=0\n", | |
" for i in range(1,n+1):\n", | |
" for j in range (1,n+1):\n", | |
" Ap=A**i\n", | |
" Bp=B**j\n", | |
" ApBp=Ap+Bp\n", | |
" sqApBp=math.sqrt(ApBp)\n", | |
" Rootc=math.ceil(sqApBp)\n", | |
" Rootf=math.floor(sqApBp)\n", | |
" if (ApBp==Rootc**2) or (ApBp==Rootf**2):\n", | |
" a_b.append([i,j])\n", | |
" cnt+=1\n", | |
"\n", | |
" if(len(a_b)>=4):\n", | |
" cnt2+=1\n", | |
" A_B.append([A,B])\n", | |
" print(A_B[cnt2],a_b,len(a_b)-1)\n", | |
"print(A_B)" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"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": "3.6.5" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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