Le espressioni di interi fino a 1000 come differenza di due potenze, con una delle basi negativa

La tabella seguente mostra tutte le possibili espressioni di interi fino a 1000 come differenza di due potenze, con una delle basi negativa (M. Fiorentini, 2020).

Intero

Differenze di potenze

2

1n – (–1)n

5

22 – (–1)n

9

23 – (–1)n

10

32 – (–1)n

12

22 – (–2)3

16

23 – (–2)3

17

24 – (–1)n, 32 – (–2)3

24

24 – (–2)3

26

52 – (–1)n

28

33 – (–1)n

31

22 – (–3)3

33

25 – (–1)n, 52 – (–2)3

35

33 – (–2)3

35

23 – (–3)3

36

32 – (–3)3, 22 – (–2)5

37

62 – (–1)n

40

25 – (–2)3, 23 – (–2)5

41

32 – (–2)5

43

24 – (–3)3

44

62 – (–2)3

48

24 – (–2)5

50

72 – (–1)n

52

52 – (–3)3

54

33 – (–3)3

57

72 – (–2)3, 52 – (–2)5

59

25 – (–3)3, 33 – (–2)5

63

62 – (–3)3

64

25 – (–2)5

65

26 – (–1)n

68

62 – (–2)5, 22 – (–4)3

72

26 – (–2)3, 23 – (–4)3

73

32 – (–4)3

76

72 – (–3)3

80

24 – (–4)3

81

72 – (–2)5

82

34 – (–1)n

89

34 – (–2)3, 52 – (–4)3

91

26 – (–3)3, 33 – (–4)3

96

26 – (–2)5, 25 – (–4)3

100

62 – (–4)3

101

102 – (–1)n

108

102 – (–2)3, 34 – (–3)3

113

34 – (–2)5, 72 – (–4)3

122

112 – (–1)n

126

53 – (–1)n

127

102 – (–3)3

128

26 – (–4)3

129

27 – (–1)n, 112 – (–2)3, 22 – (–5)3

132

102 – (–2)5, 22 – (–2)7

133

53 – (–2)3, 23 – (–5)3

134

32 – (–5)3

136

27 – (–2)3, 23 – (–2)7

137

32 – (–2)7

141

24 – (–5)3

144

24 – (–2)7

145

122 – (–1)n, 34 – (–4)3

148

112 – (–3)3

150

52 – (–5)3

152

122 – (–2)3, 53 – (–3)3, 33 – (–5)3

153

112 – (–2)5, 52 – (–2)7

155

27 – (–3)3, 33 – (–2)7

157

53 – (–2)5, 25 – (–5)3

160

27 – (–2)5, 25 – (–2)7

161

62 – (–5)3

164

102 – (–4)3, 62 – (–2)7

170

132 – (–1)n

171

122 – (–3)3

174

72 – (–5)3

176

122 – (–2)5

177

132 – (–2)3, 72 – (–2)7

185

112 – (–4)3

189

53 – (–4)3, 26 – (–5)3

192

27 – (–4)3, 26 – (–2)7

196

132 – (–3)3

197

142 – (–1)n

201

132 – (–2)5

204

142 – (–2)3

206

34 – (–5)3

208

122 – (–4)3

209

34 – (–2)7

217

63 – (–1)n

220

22 – (–6)3

223

142 – (–3)3

224

63 – (–2)3, 23 – (–6)3

225

102 – (–5)3, 32 – (–6)3

226

152 – (–1)n

228

142 – (–2)5, 102 – (–2)7

232

24 – (–6)3

233

152 – (–2)3, 132 – (–4)3

241

52 – (–6)3

243

63 – (–3)3, 33 – (–6)3

244

35 – (–1)n

246

112 – (–5)3

247

22 – (–3)5

248

63 – (–2)5, 25 – (–6)3

249

112 – (–2)7

250

53 – (–5)3

251

35 – (–2)3, 23 – (–3)5

252

152 – (–3)3, 62 – (–6)3, 32 – (–3)5

253

27 – (–5)3, 53 – (–2)7

256

27 – (–2)7

257

28 – (–1)n, 152 – (–2)5

259

24 – (–3)5

260

142 – (–4)3

264

28 – (–2)3

265

72 – (–6)3

268

52 – (–3)5

269

122 – (–5)3

270

35 – (–3)3, 33 – (–3)5

272

122 – (–2)7

275

35 – (–2)5, 25 – (–3)5

279

62 – (–3)5

280

63 – (–4)3, 26 – (–6)3

283

28 – (–3)3

288

28 – (–2)5

289

152 – (–4)3

290

172 – (–1)n

292

72 – (–3)5

294

132 – (–5)3

297

172 – (–2)3, 132 – (–2)7, 34 – (–6)3

307

35 – (–4)3, 26 – (–3)5

316

172 – (–3)3, 102 – (–6)3

320

28 – (–4)3

321

172 – (–2)5, 142 – (–5)3

324

142 – (–2)7, 34 – (–3)5

325

182 – (–1)n

332

182 – (–2)3

337

112 – (–6)3

341

63 – (–5)3, 53 – (–6)3

343

102 – (–3)5

344

73 – (–1)n, 63 – (–2)7, 27 – (–6)3

347

22 – (–7)3

350

152 – (–5)3

351

73 – (–2)3, 182 – (–3)3, 23 – (–7)3

352

32 – (–7)3

353

172 – (–4)3, 152 – (–2)7

356

182 – (–2)5

359

24 – (–7)3

360

122 – (–6)3

362

192 – (–1)n

364

112 – (–3)5

368

35 – (–5)3, 53 – (–3)5, 52 – (–7)3

369

192 – (–2)3

370

73 – (–3)3, 33 – (–7)3

371

35 – (–2)7, 27 – (–3)5

375

73 – (–2)5, 25 – (–7)3

379

62 – (–7)3

381

28 – (–5)3

384

28 – (–2)7

385

132 – (–6)3

387

122 – (–3)5

388

192 – (–3)3, 182 – (–4)3

392

72 – (–7)3

393

192 – (–2)5

401

202 – (–1)n

407

73 – (–4)3, 26 – (–7)3

408

202 – (–2)3

412

142 – (–6)3, 132 – (–3)5

414

172 – (–5)3

417

172 – (–2)7

424

34 – (–7)3

425

192 – (–4)3

427

202 – (–3)3

432

202 – (–2)5, 63 – (–6)3

439

142 – (–3)5

441

152 – (–6)3

442

212 – (–1)n

443

102 – (–7)3

449

212 – (–2)3, 182 – (–5)3

452

182 – (–2)7

459

35 – (–6)3, 63 – (–3)5

464

202 – (–4)3, 112 – (–7)3

468

212 – (–3)3, 73 – (–5)3, 152 – (–3)5, 53 – (–7)3

471

73 – (–2)7, 27 – (–7)3

472

28 – (–6)3

473

212 – (–2)5

485

222 – (–1)n

486

192 – (–5)3, 35 – (–3)5

487

122 – (–7)3

489

192 – (–2)7

492

222 – (–2)3

499

28 – (–3)5

505

212 – (–4)3, 172 – (–6)3

511

222 – (–3)3

512

132 – (–7)3

513

29 – (–1)n

516

222 – (–2)5, 22 – (–2)9

520

29 – (–2)3, 23 – (–2)9

521

32 – (–2)9

525

202 – (–5)3

528

202 – (–2)7, 24 – (–2)9

530

232 – (–1)n

532

172 – (–3)5

537

232 – (–2)3, 52 – (–2)9

539

29 – (–3)3, 142 – (–7)3, 33 – (–2)9

540

182 – (–6)3

544

29 – (–2)5, 25 – (–2)9

548

222 – (–4)3, 62 – (–2)9

556

232 – (–3)3

559

73 – (–6)3, 63 – (–7)3

561

232 – (–2)5, 72 – (–2)9

566

212 – (–5)3

567

182 – (–3)5

568

152 – (–7)3

569

212 – (–2)7

576

29 – (–4)3, 26 – (–2)9

577

242 – (–1)n, 192 – (–6)3

584

242 – (–2)3

586

73 – (–3)5, 35 – (–7)3

593

232 – (–4)3, 34 – (–2)9

599

28 – (–7)3

603

242 – (–3)3

604

192 – (–3)5

608

242 – (–2)5

609

222 – (–5)3

612

222 – (–2)7, 102 – (–2)9

616

202 – (–6)3

626

54 – (–1)n

632

172 – (–7)3

633

54 – (–2)3, 112 – (–2)9

637

29 – (–5)3, 53 – (–2)9

640

242 – (–4)3, 29 – (–2)7, 27 – (–2)9

643

202 – (–3)5

652

54 – (–3)3

654

232 – (–5)3

656

122 – (–2)9

657

54 – (–2)5, 232 – (–2)7, 212 – (–6)3

667

182 – (–7)3

677

262 – (–1)n

681

132 – (–2)9

684

262 – (–2)3, 212 – (–3)5

686

73 – (–7)3

689

54 – (–4)3

700

222 – (–6)3

701

242 – (–5)3

703

262 – (–3)3

704

242 – (–2)7, 192 – (–7)3

708

262 – (–2)5, 142 – (–2)9

727

222 – (–3)5

728

29 – (–6)3, 63 – (–2)9

730

36 – (–1)n

733

22 – (–9)3

737

36 – (–2)3, 152 – (–2)9, 23 – (–9)3

738

32 – (–9)3

740

262 – (–4)3

743

202 – (–7)3

745

232 – (–6)3, 24 – (–9)3

750

54 – (–5)3

753

54 – (–2)7

754

52 – (–9)3

755

29 – (–3)5, 35 – (–2)9

756

36 – (–3)3, 33 – (–9)3

761

36 – (–2)5, 25 – (–9)3

765

62 – (–9)3

768

28 – (–2)9

772

232 – (–3)5

778

72 – (–9)3

784

212 – (–7)3

785

282 – (–1)n

792

282 – (–2)3, 242 – (–6)3

793

36 – (–4)3, 26 – (–9)3

801

262 – (–5)3, 172 – (–2)9

804

262 – (–2)7

810

34 – (–9)3

811

282 – (–3)3

816

282 – (–2)5

819

242 – (–3)5

827

222 – (–7)3

829

102 – (–9)3

836

182 – (–2)9

841

54 – (–6)3

842

292 – (–1)n

848

282 – (–4)3

849

292 – (–2)3

850

112 – (–9)3

854

36 – (–5)3, 53 – (–9)3

855

29 – (–7)3, 73 – (–2)9

857

36 – (–2)7, 27 – (–9)3

868

292 – (–3)3, 54 – (–3)5

872

232 – (–7)3

873

292 – (–2)5, 192 – (–2)9, 122 – (–9)3

892

262 – (–6)3

898

132 – (–9)3

901

302 – (–1)n

905

292 – (–4)3

908

302 – (–2)3

909

282 – (–5)3

912

282 – (–2)7, 202 – (–2)9

919

262 – (–3)5, 242 – (–7)3

925

142 – (–9)3

927

302 – (–3)3

932

302 – (–2)5

945

36 – (–6)3, 63 – (–9)3

953

212 – (–2)9

954

152 – (–9)3

962

312 – (–1)n

964

302 – (–4)3

966

292 – (–5)3

968

54 – (–7)3

969

312 – (–2)3, 292 – (–2)7

972

36 – (–3)5, 35 – (–9)3

985

28 – (–9)3

988

312 – (–3)3

993

312 – (–2)5

996

222 – (–2)9

1000

282 – (–6)3