i=5 j= 12 k= 13
i=6 j=8 k= 10
i=7 j=24 k=25
i=8 j= 15 k= 17
i=9 j= 12 k= 15
i=9 j=40 k=4 1
i= 10 j=24 k=26
i= 1 1 j=60 k=6 1
i= 12 j= 16 k=20
i= 12 j=35 k=37
i= 13 j=84 k=85
i= 14 j=48 k=50
i= 15 j=20 k=25
i= 15 j=36 k=39
i= 16 j=30 k=34
i= 16 j=63 k=65
i= 18 j=24 k=30
i= 18 j=80 k=82
i=20 j=2 1 k=29
i=20 j=48 k=52
i=2 1 j=28 k=35
i=2 1 j=72 k=75
i=24 j=32 k=40
i=24 j=45 k=5 1
i=24 j=70 k=74
i=25 j=60 k=65
i=27 j=36 k=45
i=28 j=45 k=53
i=30 j=40 k=50
i=30 j=72 k=78
i=32 j=60 k=68
i=33 j=44 k=55
i=33 j=56 k=65
i=35 j=84 k=9 1
i=36 j=48 k=60
i=36 j=77 k=85
i=39 j=52 k=65
i=39 j=80 k=89
i=40 j=42 k=58
i=40 j=75 k=85
i=42 j=56 k=70
i=45 j=60 k=75
i=48 j=55 k=73
i=48 j=64 k=80
However, it is better to know the methods by yourself: I hope the following Pythagorean methods are useful to you. For example, if the three sides of a right triangle are A, B and C, we can know from Pythagorean theorem that A 2+B 2 = C 2, which is a necessary and sufficient condition for forming three sides of a right triangle. Therefore, finding a set of Pythagorean numbers is to solve the indefinite equation X 2+Y 2 = Z 2 and find the solution of positive integer. Example: It is known that in △ABC, the lengths of three sides are a, b, c, A = N2- 1, B = 2n, C = N2+ 1 (n > 1), and the verification is ∠ c = 90. This example shows that for any even 2n(n >;; 1), a set of three-sided pythagorean numbers can be formed: 2n, n2- 1, n2+ 1. Such as: 6, 8, 10, 8, 15, 17, 10, 24, 26, etc. In the second example, let's look at the following numbers: 3, 4, 5, 5, 12, 13, 7, 24, 25, 9, 40, 4 1,1,660. From the above example, we can know that any even number greater than 2 can form a set of Pythagorean numbers, in fact, any odd number 2n+1 (n >:1) greater than1can also form a Pythagorean number, and its three sides are 2n+ 1 and 2n? +2n、2n? +2n+ 1 can be proved by the inverse theorem of Pythagorean theorem. Observing and analyzing the Pythagorean numbers above, we can see that they have the following two characteristics: 1, the short right angle side of a right triangle is odd, the other right angle side and hypotenuse are two continuous natural numbers, and the sum of the two natural numbers is exactly the square of the short right angle side. 2. The perimeter of a right triangle is equal to the sum of the squares of the short right side and the short side itself. Editing this paragraph grasps the above two characteristics, which provides convenience for solving a class of problems.