Ulam's Spirals : Table 3
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|
|
p |
3 |
5 |
7 |
11 |
13 |
17 |
19 |
23 |
29 |
31 |
37 |
41 |
| k |
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|
|
| 1 |
2.00 |
2.00 |
2.50 |
2.08 |
2.29 |
2.10 |
2.23 |
2.11 |
2.20 |
2.28 |
2.21 |
2.15 |
2.20 |
| 3 |
2.00 |
1.00 |
0.75 |
0.88 |
0.88 |
0.95 |
1.01 |
1.06 |
1.01 |
1.05 |
1.02 |
0.99 |
1.01 |
| 5 |
2.00 |
3.00 |
2.25 |
1.88 |
1.69 |
1.83 |
1.71 |
1.71 |
1.64 |
1.69 |
1.75 |
1.80 |
1.84 |
| 7 |
2.00 |
2.00 |
2.50 |
2.08 |
2.29 |
2.10 |
2.23 |
2.11 |
2.20 |
2.28 |
2.21 |
2.15 |
2.20 |
| 9 |
2.00 |
1.00 |
1.00 |
1.00 |
0.90 |
0.83 |
0.77 |
0.82 |
0.85 |
0.82 |
0.85 |
0.87 |
0.90 |
| 11 |
2.00 |
3.00 |
3.75 |
4.38 |
3.94 |
3.61 |
3.38 |
3.57 |
3.41 |
3.53 |
3.41 |
3.51 |
3.42 |
| 13 |
2.00 |
2.00 |
1.50 |
1.75 |
1.58 |
1.44 |
1.44 |
1.36 |
1.30 |
1.26 |
1.30 |
1.33 |
1.30 |
| 15 |
2.00 |
1.00 |
0.75 |
0.63 |
0.69 |
0.74 |
0.70 |
0.66 |
0.69 |
0.66 |
0.69 |
0.71 |
0.69 |
| 17 |
2.00 |
3.00 |
3.75 |
4.38 |
4.81 |
5.21 |
4.89 |
4.62 |
4.41 |
4.25 |
4.39 |
4.27 |
4.38 |
| 19 |
2.00 |
2.00 |
2.00 |
1.67 |
1.83 |
1.68 |
1.79 |
1.69 |
1.76 |
1.83 |
1.77 |
1.72 |
1.76 |
| 21 |
2.00 |
1.00 |
1.25 |
1.04 |
0.94 |
1.02 |
0.95 |
1.01 |
0.96 |
0.93 |
0.89 |
0.87 |
0.85 |
| 23 |
2.00 |
3.00 |
2.25 |
2.25 |
2.48 |
2.48 |
2.63 |
2.48 |
2.37 |
2.29 |
2.21 |
2.27 |
2.21 |
| 25 |
2.00 |
2.00 |
1.50 |
1.75 |
1.75 |
1.90 |
2.01 |
2.13 |
2.03 |
2.10 |
2.03 |
1.98 |
2.02 |
| 27 |
2.00 |
1.00 |
1.25 |
1.46 |
1.31 |
1.20 |
1.28 |
1.21 |
1.15 |
1.11 |
1.15 |
1.12 |
1.09 |
| 29 |
2.00 |
3.00 |
3.00 |
2.50 |
2.75 |
2.98 |
2.79 |
2.95 |
2.95 |
2.84 |
2.75 |
2.67 |
2.61 |
| 31 |
2.00 |
2.00 |
2.50 |
2.92 |
2.63 |
2.84 |
2.67 |
2.81 |
2.94 |
2.84 |
2.74 |
2.67 |
2.67 |
| 33 |
2.00 |
1.00 |
0.75 |
0.63 |
0.56 |
0.52 |
0.55 |
0.58 |
0.60 |
0.63 |
0.65 |
0.67 |
0.65 |
| 35 |
2.00 |
3.00 |
2.25 |
1.88 |
1.69 |
1.55 |
1.64 |
1.73 |
1.81 |
1.75 |
1.69 |
1.64 |
1.60 |
| 37 |
2.00 |
2.00 |
2.50 |
2.50 |
2.75 |
2.52 |
2.68 |
2.53 |
2.64 |
2.74 |
2.65 |
2.57 |
2.64 |
| 39 |
2.00 |
1.00 |
1.00 |
1.17 |
1.28 |
1.18 |
1.10 |
1.04 |
0.99 |
1.03 |
1.03 |
1.00 |
0.98 |
| 41 |
2.00 |
3.00 |
3.75 |
4.38 |
4.81 |
5.21 |
5.54 |
5.85 |
6.11 |
6.33 |
6.54 |
6.72 |
6.56 |
Copyright Didier van der Straten 2002-2003
last update Dec 27, 2002
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