| # |
D |
P |
Näherung |
Kettenbruch |
Form |
| 1 |
0 |
0 |
1,00000 |
[1] |
n2 |
| 2 |
+1 |
1 |
1,41421 |
[1;2] |
n2 + 1=n |
| 3 |
-1 |
2 |
1,73205 |
[1;1,2] |
n2 + 2n=2 |
| 4 |
0 |
0 |
2,00000 |
[2] |
n2 |
| 5 |
+1 |
1 |
2,23607 |
[2;4] |
n2 + 1 |
| 6 |
+2 |
2 |
2,44949 |
[2;2,4] |
n2 + 2=n |
| 8 |
-1 |
2 |
2,82843 |
[2;1,4] |
n2 + 2n |
| 9 |
0 |
0 |
3,00000 |
[3] |
n2 |
| 10 |
+1 |
1 |
3,16228 |
[3;6] |
n2 + 1 |
| 11 |
+2 |
2 |
3,31662 |
[3;3,6] |
n2 + 2 |
| 12 |
+3 |
2 |
3,46410 |
[3;2,6] |
n2 + n |
| 15 |
-1 |
2 |
3,87298 |
[3;1,6] |
n2 + 2n |
| 16 |
0 |
0 |
4,00000 |
[4] |
n2 |
| 17 |
+1 |
1 |
4,12311 |
[4;8] |
n2 + 1 |
| 18 |
+2 |
2 |
4,24264 |
[4;4,8] |
n2 + 2 |
| 20 |
+4 |
2 |
4,47214 |
[4;2,8] |
n2 + n |
| 24 |
-1 |
2 |
4,89898 |
[4;1,8] |
n2 + 2n |
| 25 |
0 |
0 |
5,00000 |
[5] |
n2 |
| 26 |
+1 |
1 |
5,09902 |
[5;10] |
n2 + 1 |
| 27 |
+2 |
2 |
5,19615 |
[5;5,10] |
n2 + 2 |
| 30 |
+5 |
2 |
5,47723 |
[5;2,10] |
n2 + n |
| 35 |
-1 |
2 |
5,91608 |
[5;1,10] |
n2 + 2n |
| 36 |
0 |
0 |
6,00000 |
[6] |
n2 |
| 37 |
+1 |
1 |
6,08276 |
[6;12] |
n2 + 1 |
| 38 |
+2 |
2 |
6,16441 |
[6;6,12] |
n2 + 2 |
| 39 |
+3 |
2 |
6,24500 |
[6;4,12] |
n2 + 3 |
| 40 |
+4 |
2 |
6,32456 |
[6;3,12] |
n2 + 4 |
| 42 |
+6 |
2 |
6,48074 |
[6;2,12] |
n2 + n |
| 48 |
-1 |
2 |
6,92820 |
[6;1,12] |
n2 + 2n |
| 49 |
0 |
0 |
7,00000 |
[7] |
n2 |
| 50 |
+1 |
1 |
7,07107 |
[7;14] |
n2 + 1 |
| 51 |
+2 |
2 |
7,14143 |
[7;7,14] |
n2 + 2 |
| 56 |
+7 |
2 |
7,48331 |
[7;2,14] |
n2 + n |
| 63 |
-1 |
2 |
7,93725 |
[7;1,14] |
n2 + 2n |
| 64 |
0 |
0 |
8,00000 |
[8] |
n2 |
| 65 |
+1 |
1 |
8,06226 |
[8;16] |
n2 + 1 |
| 66 |
+2 |
2 |
8,12404 |
[8;8,16] |
n2 + 2 |
| 68 |
+4 |
2 |
8,24621 |
[8;4,16] |
n2 + 4 |
| 72 |
+8 |
2 |
8,48528 |
[8;2,16] |
n2 + n |
| 80 |
-1 |
2 |
8,94427 |
[8;1,16] |
n2 + 2n |
| 81 |
0 |
0 |
9,00000 |
[9] |
n2 |
| 82 |
+1 |
1 |
9,05539 |
[9;18] |
n2 + 1 |
| 83 |
+2 |
2 |
9,11043 |
[9;9,18] |
n2 + 2 |
| 84 |
+3 |
2 |
9,16515 |
[9;6,18] |
n2 + 3 |
| 87 |
+6 |
2 |
9,32738 |
[9;3,18] |
n2 + 6 |
| 90 |
+9 |
2 |
9,48683 |
[9;2,18] |
n2 + n |
| 99 |
-1 |
2 |
9,94987 |
[9;1,18] |
n2 + 2n |
| 100 |
0 |
0 |
10,00000 |
[10] |
n2 |
| 101 |
+1 |
1 |
10,04988 |
[10;20] |
n2 + 1 |
| 102 |
+2 |
2 |
10,09950 |
[10;10,20] |
n2 + 2 |
| 104 |
+4 |
2 |
10,19804 |
[10;5,20] |
n2 + 4 |
| 105 |
+5 |
2 |
10,24695 |
[10;4,20] |
n2 + 5 |
| 110 |
+10 |
2 |
10,48809 |
[10;2,20] |
n2 + n |
| 120 |
-1 |
2 |
10,95445 |
[10;1,20] |
n2 + 2n |
| 121 |
0 |
0 |
11,00000 |
[11] |
n2 |
| 122 |
+1 |
1 |
11,04536 |
[11;22] |
n2 + 1 |
| 123 |
+2 |
2 |
11,09054 |
[11;11,22] |
n2 + 2 |
| 132 |
+11 |
2 |
11,48913 |
[11;2,22] |
n2 + n |
| 143 |
-1 |
2 |
11,95826 |
[11;1,22] |
n2 + 2n |
| 144 |
0 |
0 |
12,00000 |
[12] |
n2 |
| 145 |
+1 |
1 |
12,04159 |
[12;24] |
n2 + 1 |
| 146 |
+2 |
2 |
12,08305 |
[12;12,24] |
n2 + 2 |
| 147 |
+3 |
2 |
12,12436 |
[12;8,24] |
n2 + 3 |
| 148 |
+4 |
2 |
12,16553 |
[12;6,24] |
n2 + 4 |
| 150 |
+6 |
2 |
12,24745 |
[12;4,24] |
n2 + 6 |
| 152 |
+8 |
2 |
12,32883 |
[12;3,24] |
n2 + 8 |
| 156 |
+12 |
2 |
12,49000 |
[12;2,24] |
n2 + n |
| 168 |
-1 |
2 |
12,96148 |
[12;1,24] |
n2 + 2n |