I valori di p fino a 1000 e n fino a 1000 tali che pn – 1q sia k-iperperfetto, con p = k + 1 e q = pn – p + 1

La tabella seguente riporta tutti i valori di p fino a 1000 e n fino a 1000 tali che pn – 1q sia k-iperperfetto, con p = k + 1 e q = pn – p + 1 (M. Fiorentini, 2013).

p

Valori di n

3

2, 4, 5, 6, 9, 22, 37, 41, 90, 102, 105, 317, 520, 541, 561, 648, 780, 786, 957, 1353, 2224, 2521, 6184, 7989, 8890, 19217, 20746, 31722, 37056, 69581, 195430, 225922, 506233

5

5, 7, 15, 47, 81, 115, 267, 285

7

2, 3, 6, 9, 21, 25, 33, 49, 54, 133, 245, 255, 318

11

3, 17, 23, 79, 273

13

2, 4, 5, 6, 13, 24, 64, 133, 268, 744, 952

17

11, 21, 127, 149, 469, 2019

19

3, 4, 5, 7, 10, 12, 22, 52, 65, 125, 197, 267, 335, 348, 412

23

17, 61, 445

29

33, 89, 101

31

3, 5, 29, 103, 106, 174, 615, 954

37

67, 95, 341, 577

41

3, 5, 55, 161, 197

43

4, 6, 42, 64, 65, 1017

47

5, 11, 13, 53, 115, 899

53

21, 173

59

11, 117

61

5, 13, 24, 42, 81, 112, 5

67

2, 65, 345, 373

71

-

73

21, 49

79

2, 4, 16, 29, 47, 142, 352

83

965

89

9, 41, 51, 109, 483

97

6, 11, 34

101

3, 7, 9, 19, 29, 99, 145, 623

103

5, 17, 18, 40, 42, 45

107

7, 745

109

4, 12, 19, 33, 88, 112, 225, 528, 870

113

-

127

18, 37, 49, 59

131

25, 223, 437, 601, 649

137

5, 39, 375

139

2, 3, 70, 696, 711

149

7

151

2, 10, 21, 40, 43, 70

157

6, 7, 39, 66, 334, 363

163

2, 13, 34, 46

167

3, 27, 109

173

5, 325

179

7, 73

181

17, 177, 601, 684, 687

191

13, 23, 73

193

2, 28, 400, 714

197

75

199

271, 492

211

28, 52, 82, 441, 655

223

250

227

-

229

9, 15, 22, 64, 202, 365, 592

233

-

239

3, 17, 25, 285

241

5, 18, 88, 311

251

5, 7, 21

257

17

263

53

269

15, 17, 127

271

3, 49, 69, 101, 109, 141

277

3, 9, 23, 53, 81, 229

281

9, 489

283

17, 298

293

-

307

3, 6, 11, 54, 103, 329

311

35

313

4, 742

317

7, 17, 23, 779

331

587

337

2, 6, 19, 23, 186, 239, 274

347

3

349

2, 25

353

-

359

5, 19

367

15, 91

373

29, 34, 178, 238

379

2, 4, 5, 7, 47, 99, 261, 966

383

-

389

7, 185

397

29

401

5

409

23, 29, 79, 328, 349

419

3, 11, 19, 175, 177, 267

421

59, 100, 319, 453, 472

431

485

433

13

439

167, 190, 829

443

809

449

3, 181, 345, 913

457

2, 5, 10, 13, 481

461

5, 11, 183, 263, 939

463

22, 72, 96, 97, 157

467

7, 257

479

3, 7, 17, 587

487

13, 111

491

3, 29, 59

499

5

503

21

509

11, 27, 93, 133

521

3, 7, 11, 15, 91

523

12

541

2, 7, 43, 841

547

3, 45, 181

557

3, 21

563

361

569

13, 673

571

7, 393

577

39, 481

587

3

593

345, 537

599

-

601

5, 42, 252

607

9, 22, 91

613

2, 4, 16, 61, 457

617

3, 11, 157

619

3, 5, 40, 49, 155, 604, 886

631

3, 5, 10, 51, 297, 337

641

-

643

2, 6, 97, 430

647

3, 9

653

-

659

11, 15

661

51, 173, 289, 923

673

33, 369

677

5, 43

683

5, 569

691

11, 243, 299, 347, 361

701

5

709

4

719

247, 677

727

2, 45, 330

733

12, 45, 94, 162, 226

739

3, 6, 109

743

49, 813

751

7, 145

757

3, 6, 10, 35, 42, 167

761

3, 425

769

2, 3, 5, 10, 11, 137, 171, 275, 607

773

5

787

3, 18, 29, 645

797

-

809

3, 11, 25

811

13, 28, 76, 112, 191, 426, 537, 778

821

25, 41, 65, 91, 103

823

60, 282

827

3, 109, 151, 203

829

27, 81, 211, 477, 637

839

3, 39

853

48, 892

857

3, 11

859

12, 15, 36, 132, 239

863

145

877

5

881

-

883

18, 29, 34, 492

887

15, 159, 193

907

17, 70

911

51

919

2, 5, 19

929

-

937

6, 31, 61, 109, 187, 346, 627

941

211, 593

947

13, 41, 157, 817

953

-

967

169, 273, 358

971

3, 21, 27

977

3, 5, 7, 11, 13, 19, 107, 421

983

-

991

2, 3

997

529