Il minimo intero n e la differenza d tra termini consecutivi delle progressioni aritmetiche di quattro interi con lo stesso valore di φ, per n fino a 106 e d fino a 1000

La tabella seguente riporta il minimo intero n e la differenza d tra termini consecutivi delle progressioni aritmetiche di quattro interi con lo stesso valore di φ, per n fino a 106 e d fino a 1000 (M. Fiorentini, 2014).

d

n

6

72, 216, 76326, 101526, 116646, 146886, 298086, 369366, 624966

12

144, 432, 152652, 203052, 233292, 293772, 596172, 738732

18

216, 648, 228978, 304578, 349938, 440658, 894258

24

288, 864, 305304, 406104, 466584, 587544

30

1080, 16200, 36000, 48600, 381630, 507630, 550860, 550890, 583200, 583230, 583260, 734430, 835260, 954060

36

432, 1296, 457956, 609156, 699876, 881316

42

1512, 84672, 534282, 710682, 816522

48

576, 1728, 610608, 812208, 933168

54

648, 1944, 686934, 913734

60

2160, 32400, 72000, 97200, 763260

66

792, 2376, 287496, 418176, 839586

72

864, 2592, 915912

78

12168, 992238

84

3024, 169344

90

3240, 48600, 108000, 145800

96

1152, 3456

102

1224, 3672

108

1296, 3888

114

1368

120

4320, 64800, 144000, 194400

126

4536, 254016

132

1584, 4752, 574992, 836352

138

1446, 1656, 4968

144

1728, 5184

150

5400, 81000, 180000, 243000

156

24336

162

1944, 5832

168

6048, 338688

174

2088, 6264

180

6480, 97200, 216000, 291600

186

2232, 6696

192

2304, 6912

198

2376, 7128, 862488

204

2448, 7344

210

7560, 19670, 22155, 113400, 196070, 198765, 252000, 294070, 340200, 353640, 353850, 423360, 463365, 666470

216

2592, 7776

222

2664

228

2736

234

36504

240

8640, 129600, 288000, 388800

246

2952, 8856

252

9072, 508032

258

3096, 9288

264

3168, 9504

270

9720, 145800, 324000, 437400

276

2892, 3312, 9936

282

3384, 10152

288

3456, 10368

294

10584, 592704

300

10800, 162000, 360000, 486000

306

3672, 11016

312

48672

318

3816, 11448

324

3888, 11664

330

11880, 178200, 396000, 534600

336

12096, 677376

342

4104

348

4176, 12528

354

4248, 12744

360

12960, 194400, 432000, 583200

366

4392, 13176

372

4464, 13392

378

13608, 762048

384

4608, 13824

390

60840, 210600, 468000, 631800

396

4752, 14256

402

4824, 14472

408

4896, 14688

414

4338, 4968, 14904

420

15120, 39340, 44310, 226800, 392140, 397530, 504000, 588140, 680400, 707280, 707700, 846720, 926730

426

5112, 15336

432

5184, 15552

438

5256, 15768, 383688

444

5328

450

16200, 243000, 540000, 729000

456

5472

462

16632, 931392

468

73008

474

5688, 17064

480

17280, 259200, 576000, 777600

486

5832, 17496

492

5904, 17712

498

5976, 17928

504

18144

510

18360, 275400, 612000, 826200

516

6192, 18576

522

6264, 18792

528

6336, 19008

534

6408, 19224

540

19440, 291600, 648000, 874800

546

85176

552

5784, 6624, 19872

558

6696, 20088

564

6768, 20304

570

307800, 684000, 923400

576

6912, 20736

582

6984, 20952

588

21168

594

7128, 21384

600

21600, 324000, 720000, 972000

606

7272, 21816

612

7344, 22032

618

7416, 8256, 22248

624

97344

630

22680, 59010, 66465, 340200, 588210, 596295, 756000, 882210

636

7632, 22896

642

7704, 23112

648

7776, 23328

654

7848, 23544

660

23760, 356400, 792000

666

7992

672

24192

678

8136, 24408

684

8208

690

24840, 372600, 828000, 952200

696

8352, 25056

702

109512

708

8496, 25488

714

25704

720

25920, 388800, 864000

726

8712, 26136

732

8784, 26352

738

8856, 26568

744

8928, 26784

750

27000, 405000, 900000

756

27216

762

9144, 27432

768

9216, 27648

774

9288, 27864

780

121680, 421200, 936000

786

9432, 28296

792

9504, 28512

804

9648, 28944

810

29160, 437400, 972000

816

9792, 29376

822

9864, 29592

828

8676, 9936, 29808

834

10008, 30024

840

30240, 78680, 88620, 453600, 784280, 795060

846

10152, 30456

852

10224, 30672

858

133848

864

10368, 31104

870

31320, 469800

876

10512, 31536, 767376

882

31752

888

10656

894

10728, 32184

900

32400, 486000

906

10872, 32616

912

10944

918

11016, 33048

924

33264

930

33480, 502200

936

146016

942

11304, 33912

948

11376, 34128

954

11448, 34344

960

34560, 518400

966

34776

972

11664, 34992

978

11736, 35208

984

11808, 35424

990

35640, 534600

996

11952, 35856