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List of Pythagorean Triples List of Pythagorean Triples After a break, it's back. The last page of this section of my journal was a list of the primitive triples of each of the three basic types, but I think I've had enough of that. So here's a handy reference list for use in math class when creating problems for tests or classwork. It lists all the primitive and non-primitive Pythagorean triples, sorted by the shortest side, from 3 to 50. Leg 3 4 5 6 7 8 9 10 11 12 13 14

Primitive 3,4,5 -5,12,13 -7,24,25 8,15,17 9,40,41 -11,60,61 12,35,37 13,84,85 --

Non-Primitive ---6,8,10 --9,12,15 10,24,26 -12,16,20 -14,48,50

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15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45

15,112,113 15,20,25; 15,36,39 16,63,65 16,30,34 17,144,145 --- 18,24,30; 18,80,82 19,180,181 -20,99,101; 20,21,29 20,48,52 21,220,221 21,28,35; 21,72,75 -- 22,120,122 23,264,265 -24,143,145 24,32,40; 24,45,51; 24,70,74 25,312,313 25,60,65 -- 26,168,170 27,364,365 27,36,45; 27,120,123 28,195,197 28,96,100 29,420,421 --- 30,40,50; 30,72,78; 30,224,226 31,480,481 -32,255,257 32,60,68; 32,126,130 33,544,545 33,44,55; 33,180,183 -- 34,288,290 35,612,613 35,84,91; 35,120,125 36,323,325 36,48,60; 36,160,164; 36,105,111 37,684,685 -- 38,360,362 39,760,761 39,52,65; 39,252,255 40,399,401 40,96,104; 40,75,85; 40,198,202; 40,42,58 41,840,841 --- 42,56,70; 42,144,150 43,924,925 -44,483,485 44,240,244 45,1012,1013 45,60,75; 45,108,117; 45,200,205;45,336,33

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46 47 48 49 50

-- 46,528,530 47,1104,1105 -48,575,577 48,64,80; 48,90,102; 48,140,148;48,286,290 49,1200,1201 49,168,175 -- 50,120,130; 50,624,626

Now, some of you may be thinking that I have too much time on my hands. Some of you know better. Had I had more time, I could have compiled this sooner. And it might've gone up to 100. And it might have been correct. Well, I think it's correct, but typos and inadvertant omissions do happen.

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List of Pythagorean Triples