Take a ultra magic 15x15 square and add 32 to all numbers, so in the 15x15 inlay are the 225 middle numbers from 33 up to 257.
In the border are the 32 lowest (1 up to 32) and the 32 highest (258 up to 289) numbers. Read the explanation on webpage 3x3 in 5x5 & concentric, how to construct the border.
See in the download below how the 17x17 border has been constructed or use the download to puzzle your own border.
The result is:
Ultra 15x15 in 17x17 magic square
16 |
32 |
29 |
28 |
26 |
23 |
22 |
19 |
275 |
276 |
279 |
280 |
283 |
284 |
287 |
288 |
18 |
259 |
99 |
222 |
111 |
97 |
226 |
114 |
102 |
216 |
112 |
106 |
219 |
117 |
96 |
217 |
121 |
31 |
260 |
242 |
35 |
160 |
240 |
33 |
167 |
230 |
40 |
165 |
228 |
47 |
155 |
235 |
45 |
153 |
30 |
263 |
79 |
148 |
209 |
83 |
146 |
199 |
88 |
149 |
203 |
86 |
139 |
208 |
89 |
143 |
206 |
27 |
265 |
129 |
252 |
51 |
127 |
256 |
54 |
132 |
246 |
52 |
136 |
249 |
57 |
126 |
247 |
61 |
25 |
266 |
182 |
65 |
190 |
180 |
63 |
197 |
170 |
70 |
195 |
168 |
77 |
185 |
175 |
75 |
183 |
24 |
269 |
94 |
223 |
119 |
98 |
221 |
109 |
103 |
224 |
113 |
101 |
214 |
118 |
104 |
218 |
116 |
21 |
270 |
234 |
42 |
156 |
232 |
46 |
159 |
237 |
36 |
157 |
241 |
39 |
162 |
231 |
37 |
166 |
20 |
273 |
92 |
140 |
205 |
90 |
138 |
212 |
80 |
145 |
210 |
78 |
152 |
200 |
85 |
150 |
198 |
17 |
13 |
124 |
253 |
59 |
128 |
251 |
49 |
133 |
254 |
53 |
131 |
244 |
58 |
134 |
248 |
56 |
277 |
12 |
174 |
72 |
186 |
172 |
76 |
189 |
177 |
66 |
187 |
181 |
69 |
192 |
171 |
67 |
196 |
278 |
9 |
107 |
215 |
115 |
105 |
213 |
122 |
95 |
220 |
120 |
93 |
227 |
110 |
100 |
225 |
108 |
281 |
8 |
229 |
43 |
164 |
233 |
41 |
154 |
238 |
44 |
158 |
236 |
34 |
163 |
239 |
38 |
161 |
282 |
5 |
84 |
147 |
201 |
82 |
151 |
204 |
87 |
141 |
202 |
91 |
144 |
207 |
81 |
142 |
211 |
285 |
4 |
137 |
245 |
55 |
135 |
243 |
62 |
125 |
250 |
60 |
123 |
257 |
50 |
130 |
255 |
48 |
286 |
1 |
169 |
73 |
194 |
173 |
71 |
184 |
178 |
74 |
188 |
176 |
64 |
193 |
179 |
68 |
191 |
89 |
272 |
258 |
261 |
262 |
264 |
267 |
268 |
271 |
15 |
14 |
11 |
10 |
7 |
6 |
3 |
2 |
274 |
You can use this method to construct magic squares of odd order from 5x5 to infinity. See on this website 5x5, 7x7, 9x9, 11x11, 13x13, 15x15, 17x17, 19x19, 21x21, 23x23, 25x25, 27x27, 29x29 & 31x31