[C言語]整数比の直角三角形

直角三角形はピタゴラスの定理が成り立つ
a^2 + b^2 = c^2

#include 

int main(){

	int a, a2, b, b2, c;

	printf("整数比の直角三角形を探索");

	for(a=1; a<= 100; a++){
		a2 = a*a;
		for(b=a; b<=100; b++){
			b2 = b*b;
			for(c=b+1; c<=100;c++){
				if(a2+b2 == c*c){
					printf("%d:%d:%d\n",a, b, c);
				}
			}
		}
	}

	return 0;
}

$ ./main
整数比の直角三角形を探索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
16:30:34
16:63:65
18:24:30
18:80:82
20:21:29
20:48:52
21:28:35
21:72:75
24:32:40
24:45:51
24:70:74
25:60:65
27:36:45
28:45:53
28:96:100
30:40:50
30:72:78
32:60:68
33:44:55
33:56:65
35:84:91
36:48:60
36:77:85
39:52:65
39:80:89
40:42:58
40:75:85
42:56:70
45:60:75
48:55:73
48:64:80
51:68:85
54:72:90
57:76:95
60:63:87
60:80:100
65:72:97

こんなにあるのか