在线勾股整数查询

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3到130的勾股整数

3,4,5 5,12,13 6,8,10 7,24,25 8,15,17 9,12,15 9,40,41 10,24,26 11,60,61 12,16,20 12,35,37 13,84,85 14,48,50 15,20,25 15,36,39 15,112,113 16,30,34 16,63,65 17,144,145 18,24,30 18,80,82 19,180,181 20,21,29 20,48,52 20,99,101 21,28,35 21,72,75 21,220,221 22,120,122 23,264,265 24,32,40 24,45,51 24,70,74 24,143,145 25,60,65 25,312,313 26,168,170 27,36,45 27,120,123 27,364,365 28,45,53 28,96,100 28,195,197 29,420,421 30,40,50 30,72,78 30,224,226 31,480,481 32,60,68 32,126,130 32,255,257 33,44,55 33,56,65 33,180,183 33,544,545 34,288,290 35,84,91 35,120,125 35,612,613 36,48,60 36,77,85 36,105,111 36,160,164 36,323,325 37,684,685 38,360,362 39,52,65 39,80,89 39,252,255 39,760,761 40,42,58 40,75,85 40,96,104 40,198,202 40,399,401 41,840,841 42,56,70 42,144,150 42,440,442 43,924,925 44,117,125 44,240,244 44,483,485 45,60,75 45,108,117 45,200,205 45,336,339 45,1012,1013 46,528,530 47,1104,1105 48,55,73 48,64,80 48,90,102 48,140,148 48,189,195 48,286,290 48,575,577 49,168,175 49,1200,1201 50,120,130
勾股数指满足a²+b²=c²的正整数三元组,本原勾股数满足gcd(a,b,c)=1。生成公式:a=m²−n², b=2mn, c=m²+n²(m>n>0)。费马定理证明勾股数是唯一满足x²+y²=z²的正整数解,三维推广涉及毕达哥拉斯四元组。

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