## Wednesday, May 06, 2009

### List of Pythagorean Triples (3-50)

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 Primitive Non-Primitive 3 3,4,5 -- 4 -- -- 5 5,12,13 -- 6 -- 6,8,10 7 7,24,25 -- 8 8,15,17 -- 9 9,40,41 9,12,15 10 -- 10,24,26 11 11,60,61 -- 12 12,35,37 12,16,20 13 13,84,85 -- 14 -- 14,48,50 15 15,112,113 15,20,25; 15,36,39 16 16,63,65 16,30,34 17 17,144,145 -- 18 -- 18,24,30; 18,80,82 19 19,180,181 -- 20 20,99,101; 20,21,29 20,48,52 21 21,220,221 21,28,35; 21,72,75 22 -- 22,120,122 23 23,264,265 -- 24 24,143,145 24,32,40; 24,45,51; 24,70,74 25 25,312,313 25,60,65 26 -- 26,168,170 27 27,364,365 27,36,45; 27,120,123 28 28,195,197 28,96,100 29 29,420,421 -- 30 -- 30,40,50; 30,72,78; 30,224,226 31 31,480,481 -- 32 32,255,257 32,60,68; 32,126,130 33 33,544,545 33,44,55; 33,180,183 34 -- 34,288,290 35 35,612,613 35,84,91; 35,120,125 36 36,323,325 36,48,60; 36,160,164; 36,105,111 37 37,684,685 -- 38 -- 38,360,362 39 39,760,761 39,52,65; 39,252,255 40 40,399,401 40,96,104; 40,75,85; 40,198,202; 40,42,58 41 41,840,841 -- 42 -- 42,56,70; 42,144,150 43 43,924,925 -- 44 44,483,485 44,240,244 45 45,1012,1013 45,60,75; 45,108,117; 45,200,205;45,336,339 46 -- 46,528,530 47 47,1104,1105 -- 48 48,575,577 48,64,80; 48,90,102; 48,140,148;48,286,290 49 49,1200,1201 49,168,175 50 -- 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.

Okay, I think I'm done now.

marskell said...

27,120,121 i think should be 17,120,123 becasue that goes into the a, b, b+3 set and the one for line 27 is missing

(x, why?) said...

Thanks.
27,120,123 is correct. All the numbers are multiples of 3, so 121 is obviously wrong.

Proofreading this was a pain, and I'm sure I missed a couple.

(x, why?) said...

Proofreading was also a consideration for stopping at 50.

That, and some of the numbers were getting extremely large.

Anonymous said...

39-42-65 is wrong
Thanks anyway You almost do my homework for me...

(x, why?) said...

Can't make it too easy for you, can I?

42 is a typo. "Obviously", it should've been 52.