Pan 19x19 in 21x21 magic square (1)

 

Take a panmagic 19x19 square and add 40 to all numbers, so in the 19x19 inlay are the 361 middle numbers from 41 up to 401.

 

In the border are the 40 lowest (1 up to 40) and the 40 highest (402 up to 441) numbers. Read the explanation on webpage 3x3 in 5x5 & concentric, how to construct the border.

 

See in the download below how the 21x21 border has been constructed or use the download to puzzle your own border.

 

The result is:

 

 

Pan 19x19 in 21x21 magic square

20

40

37

34

32

31

30

29

27

24

423

424

427

428

431

432

435

436

439

440

22

403

41

363

308

271

234

197

160

123

86

391

373

336

299

262

225

188

151

114

77

39

404

399

381

326

306

251

214

177

140

103

66

48

353

316

279

242

205

168

131

94

38

406

74

56

361

324

269

249

194

157

120

83

388

370

333

296

259

222

185

148

111

36

407

91

396

378

341

304

267

212

192

137

100

63

45

350

313

276

239

202

165

128

35

409

108

71

53

358

321

284

247

210

155

135

80

385

367

330

293

256

219

182

145

33

414

125

88

393

375

338

301

264

227

190

153

98

78

42

347

310

273

236

199

162

28

416

142

105

68

50

355

318

281

244

207

170

133

96

383

382

327

290

253

216

179

26

417

159

122

85

390

372

335

298

261

224

187

150

113

76

58

345

325

270

233

196

25

419

176

139

102

65

47

352

315

278

241

204

167

130

93

398

380

343

288

268

213

23

421

211

156

119

82

387

369

332

295

258

221

184

147

110

73

55

360

323

286

231

21

17

229

174

154

99

62

44

349

312

275

238

201

164

127

90

395

377

340

303

266

425

16

246

209

172

117

97

384

366

329

292

255

218

181

144

107

70

52

357

320

283

426

13

263

226

189

152

115

60

59

346

309

272

235

198

161

124

87

392

374

337

300

429

12

280

243

206

169

132

95

400

364

344

289

252

215

178

141

104

67

49

354

317

430

9

297

260

223

186

149

112

75

57

362

307

287

232

195

158

121

84

389

371

334

433

8

314

277

240

203

166

129

92

397

379

342

305

250

230

175

138

101

64

46

351

434

5

331

294

257

220

183

146

109

72

54

359

322

285

248

193

173

118

81

386

368

437

4

348

311

274

237

200

163

126

89

394

376

339

302

265

228

191

136

116

61

43

438

1

365

328

291

254

217

180

143

106

69

51

356

319

282

245

208

171

134

79

401

441

420

402

405

408

410

411

412

413

415

418

19

18

15

14

11

10

7

6

3

2

422

 

 

You can use this method to construct magic squares of odd order from 5x5 to infinity. See on this website 5x57x79x911x1113x1315x1517x1719x1921x2123x2325x2527x2729x29 31x31

 

Download
21x21, pan 19x19 in 21x21 (1).xls
Microsoft Excel werkblad 66.5 KB