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.


LegPrimitiveNon-Primitive
33,4,5 --
4 -- --
55,12,13 --
6 -- 6,8,10
77,24,25 --
88,15,17 --
99,40,419,12,15
10 -- 10,24,26
1111,60,61 --
1212,35,3712,16,20
1313,84,85 --
14 -- 14,48,50
1515,112,11315,20,25; 15,36,39
1616,63,6516,30,34
1717,144,145 --
18 -- 18,24,30; 18,80,82
1919,180,181 --
2020,99,101; 20,21,2920,48,52
2121,220,22121,28,35; 21,72,75
22 -- 22,120,122
2323,264,265 --
2424,143,14524,32,40; 24,45,51; 24,70,74
2525,312,31325,60,65
26 -- 26,168,170
2727,364,36527,36,45; 27,120,123
2828,195,19728,96,100
2929,420,421 --
30 -- 30,40,50; 30,72,78; 30,224,226
3131,480,481 --
3232,255,25732,60,68; 32,126,130
3333,544,54533,44,55; 33,180,183
34 -- 34,288,290
3535,612,61335,84,91; 35,120,125
3636,323,32536,48,60; 36,160,164; 36,105,111
3737,684,685 --
38 -- 38,360,362
3939,760,76139,52,65; 39,252,255
4040,399,40140,96,104; 40,75,85; 40,198,202; 40,42,58
4141,840,841 --
42 -- 42,56,70; 42,144,150
4343,924,925 --
4444,483,48544,240,244
4545,1012,101345,60,75; 45,108,117; 45,200,205;45,336,339
46 -- 46,528,530
4747,1104,1105 --
4848,575,57748,64,80; 48,90,102; 48,140,148;48,286,290
4949,1200,120149,168,175
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.

5 comments:

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.