Records Section

Last updated - 30/12/2013

Firstly, we have the Large Keller Prime Table. Primes found which are NOT Keller primes are marked with an asterisk.

PSP denotes the Prime Sierpinski Project coordinated by Harsh Aggarawal, with surname of contributor following in brackets.

Primegrid denotes the extended Sierpinski Search coordinated by Wilfrid Keller and using the Primegrid platform, with surname of contributor following in brackets.

Follow these bookmarks for counts & rankings

k

n

Discoverer

90527

9162167

PSP (Salah)

161041

7107964

Primegrid

258317

5450519

PSP (Gilvey)

265711

4858008

PSP (Gilvey)

211195

3224974

Primegrid (van Rangelrooij)

94373

3206717

Primegrid (Meili)

198677

2950515

Primegrid (van Rangelrooij)

222361

2854840

PSP (Yoshimura)

147559

2562218

Primegrid (Ewing)

123287

2538167

Primegrid (Winslow)

214519

1929114

PSP (Dausch)

149183

1666957

PSP (Dausch)

241489

1365062

PSP (Aggarwal)

250463

1316921

Primegrid (Ewing)

154801

1305084

Primegrid (Ewing)

219259

1300450

Priemgrid (Vogel)

98749

1045226

Primegrid (Ewing)

107929

1007898

Primegrid (Carpenter)

624511

962636

Dan Morenus

216751

903792

PSP (Dausch)

609769

879034

Dan Morenus

619013

849281

Dan Morenus

615151

800316

Dan Morenus

992731

731740

Dan Morenus

161957

727995

PSP (Wallace)

261917

704227

PSP (Dausch)

85013

699333

Primegrid (Martin)

801923

690713

Dan Morenus

822083

670761

Dan Morenus

812881

663152

Dan Morenus

263927

639599

PSP (Wallace)

225679

620678

Primegrid (Vogel)

122149

578806

PSP (Wallace)

187681

573816

Primegrid (Vogel)

446509

557118

Jim McElhatton

168587

545971

Primegrid (Martin)

159503

540945

PSP (Wallace)

604189

500578

Brian Schroeder

895823

495837

Kimmo Herranen

247099

484190

PSP (Wallace)

911123

479981

Joe McLean

208381

463068

Primegrid (Vogel)

829013

457421

Dan Morenus

846857

453343

Dan Morenus

172127

448743

PSP (Aggarwal)

281543

440853

Kimmo Herranen

185449

435402

Primegrid (Ewing)

575539

431950

Joe McLean

524663

423169

Dan Morenus

889727

422435*

Kimmo Herranen

924683

421877

Joe McLean

167957

417463

Primegrid (Carpenter)

263329

406934

Primegrid (O'Hare)

308423

395337

Dan Morenus

889727

391475

Kimmo Herranen

833179

387618

Dan Morenus

203761

384628

PSP (Wallace)

944011

372216

Joe McLean

686479

372062

Kimmo Herranen

261203

354561

Dan Morenus & Primegrid (Vogel)

399617

340955

Joe McLean

173933

340181

Kimmo Herranen

357017

332367

Joe McLean

179791

331740

Kimmo Herranen

610097

330651

Brian Schroeder

456211

325780

Jim McElhatton

762227

325531

Jim McElhatton

383717

325171

Joe McLean

554573

305373

Joe McLean

548869

304442

Joe McLean

943373

304161

Dan Morenus

397309

297102*

Joe McLean

397309

296070

Joe McLean

312863

293881

Dan Morenus

224027

273967

PSP (Wallace)

237413

267149

Dan Morenus

198113

267005

Kimmo Herranen

546529

264498

Kimmo Herranen

774977

261235

Joe McLean

492953

260957

Jim McElhatton

432983

259453

Jim McElhatton

393497

255283

Joe McLean

721969

250898

Jim McElhatton

350689

250850

Dirk Augustin

693769

247742

Kimmo Herranen

783019

235798

Jim McElhatton

337111

229176

Brian Schroeder

836209

225602

Dan Morenus

287899

223886

Brian Schroeder

892247

219359

Kimmo Herranen

654083

217533

Brian Schroeder

942227

215687

Sander Hoogendoorn

87743

212565

PSP (Cox)

626419

211622

Brian Schroeder

570923

207189

Joe McLean

840811

205948

Dan Morenus

517651

204528

Joe McLean

523669

202714

Sander Hoogendoorn

910733

200233

Jim Fougeron

718463

199345

Jim McElhatton

250163

198453

Sander Hoogendoorn

963227

196403

Brian Schroeder

607801

190960

Brian Schroeder

452371

190272

Jim McElhatton

762769

188586

Joe McLean

540977

188027

Kimmo Herranen

993767

186619

Jim Fougeron

856607

185727

Dan Morenus

294241

184040

Brian Schroeder

369497

183079

Jim Fougeron

775969

181806

Joe McLean

198647

178863

Kimmo Herranen

715531

178144

Joe McLean

389401

171604

Jim Fougeron

694879

169326

Kimmo Herranen

185993

164613

Kimmo Herranen

928997

163171*

Jim Fougeron

758243

161705

Dirk Augustin

951593

159929

Brian Schroeder

465407

159915

Jim McElhatton

356971

156572

Dirk Augustin

961313

155421

Joe McLean

759653

154085

Joe McLean

621953

151469

Brian Schroeder

619399

150478

Brian Schroeder

250163

149684

Sander Hoogendoorn

181921

148432

Kimmo Herranen

118081

145836

Kimmo Herranen

928997

145355

Jim Fougeron

412081

145336

Jim McElhatton

618379

143758

Brian Schroeder

385313

142989

Jim Fougeron

959929

141906

Joe McLean

922463

141321

Jim Fougeron

255811

140148

Joe McLean

696661

134472

Kimmo Herranen

572507

133971

Jim Fougeron

467963

132769

Jim McElhatton

911791

129892

Jim Fougeron

340471

128256

Dirk Augustin

815491

128160

Dan Morenus

147391

120616

Dirk Augustin

331883

119945

Brian Schroeder

179581

117980

Kimmo Herranen

306893

117721

Dan Morenus

557693

117549

Jim Fougeron

183347

116399

Nestor Melo

501143

113609

Joe McLean

612263

112221

Brian Schroeder

818551

112120

Dan Morenus

270557

111807

Sander Hoogendoorn

359551

111552

Dirk Augustin

128449

109130

Nestor Melo

446633

107905

Brian Schroeder

568067

107603

Dirk Augustin

793817

106719

Joe McLean

469073

104969

Jim McElhatton

371027

103775

Jim Fougeron

977521

101792

Dirk Augustin

199037

101723

Kimmo Herranen

348587

99519

Dirk Augustin

525409

98942

Ray Ballinger

299239

98714

Dan Morenus

364969

98546

Jim Fougeron

863431

98416

Dan Morenus

810949

98090

Dan Morenus

956749

95966

Brian Schroeder

354203

95549

Dirk Augustin

653693

93457

Brian Schroeder

240211

93184

Joe McLean

89225

92067

Daval Davis

413537

92055

Brian Schroeder

115561

91548

Dirk Augustin

227753

91397

Phil Carmody & Primegrid (Vogel)

224657

90727*

Phil Carmody

225077

90599*

Phil Carmody

311267

89215

Dan Morenus

430727

88875

Jim McElhatton

945499

88466*

Phil Carmody

128239

88330

Nestor Melo

366467

88163

Jim Fougeron

376141

87980

Jim Fougeron

383843

87973

Jim Fougeron

430303

87694

Jim McElhatton

720121

86960

Jim McElhatton

556667

86543

Joe McLean

220639

83506*

Phil Carmody

564511

82868

Dirk Augustin

427517

82787

Jim McElhatton

541877

82575

Kimmo Herranen

964549

82462

Brian Schroeder

425149

80674

Jim McElhatton

990421

80560

Phil Carmody

118249

80422

Pavlos Saridis

155357

79679

Dirk Augustin

165499

79638

Jim McElhatton

719611

79296

Jim McElhatton

411953

78929

Jim McElhatton

335299

78574

Brian Schroeder

427339

78174

Jim McElhatton

734753

77481

Jim McElhatton

101869

77002

Nestor Melo

619403

76141

Brian Schroeder

197753

76049*

Kimmo Herranen

969533

75885

Joe McLean

389581

75348

Jim Fougeron

678047

74863

Kimmo Herranen

138199

74670

Dirk Augustin

288151

73752

Brian Schroeder

197753

73745

Kimmo Herranen

982547

73643

Dirk Augustin

633197

73171

Brian Schroeder

570601

72420*

Kimmo Herranen

277217

72227

Ray Ballinger

172157

71995

Kimmo Herranen

196307

71867*

Kimmo Herranen

302701

71716

Dan Morenus

142099

70802

Dirk Augustin

177421

69880

Kimmo Herranen

836161

69692

Dan Morenus

974483

69065

Dirk Augustin

450589

67886

Jim McElhatton

646427

67767

Brian Schroeder

536779

67590

Joe McLean

231797

66503

Joe McLean

572213

66409

Joe McLean

538313

66301

Kimmo Herranen

578689

66070

Kimmo Herranen

922081

65840

Jim Fougeron

931517

65647

Jim Fougeron

663827

65447

Brian Schroeder

291979

65182

Brian Schroeder

156889

65082

Dirk Augustin

570601

65040

Kimmo Herranen

312469

64970

Dan Morenus

976523

64801

Dirk Augustin

804691

64628

Dan Morenus

835733

64485

Dan Morenus

151945

62876

Dirk Augustin

953597

62719

Brian Schroeder

401371

62400

Jim McElhatton

290281

61872

Brian Schroeder

930079

61386

Jim Fougeron

438541

60832

Jim McElhatton

235607

60635

Phil Carmody

297617

60187

Brian Schroeder

673009

60186

Kimmo Herranen

464929

59426

Jim McElhatton

717001

58936

Jim McElhatton

867443

57845

Dan Morenus

552203

57841

Dirk Augustin

701123

57057

Joe McLean

841757

56951

Dan Morenus

146761

56816

Dirk Augustin

692431

56560

Kimmo Herranen

945499

55418*

Phil Carmody

778021

55132

Joe McLean

678109

54994

Kimmo Herranen

450139

54914

Jim McElhatton

297317

54755

Brian Schroeder

190999

54478

Kimmo Herranen

624139

53814

Brian Schroeder

889187

52975

Ray Ballinger

572029

52890

Dirk Augustin

102263

52853

Dirk Augustin

391681

52736

Jim Fougeron

629149

52250

Brian Schroeder

612773

51941

Brian Schroeder

437933

51817

Jim McElhatton

278843

51801

Kimmo Herranen

838081

51712

Dan Morenus

117557

51511

Dirk Augustin

941741

51345

Phil Carmody

527791

51192

Phil Carmody

223127

50959

Phil Carmody

804541

50676

Dan Morenus

415427

50571

Jim McElhatton

447079

50514

Jim McElhatton

196307

50267

Kimmo Herranen

106853

50061

Dirk Augustin

456347

50039

Jim McElhatton

The counts of the above primes per person (which in no way represents the effort applied towards the search as a whole) are as follows, with non-Kellers added explicitly :

Kimmo Herranen

33 + 4

Dan Morenus

35

Brian Schroeder

34

Jim McElhatton

33

Joe McLean

32 + 1

Dirk Augustin

26

Jim Fougeron

20 + 1

Primegrid

20

PSP

18

Phil Carmody

6 + 5

Sander Hoogendoorn

5

Nestor Melo

4

Ray Ballinger

3

Daval Davis

1

Pavlos Siridis

1

total

271 + 11

 

From 1st November, 2000, the status report provides a score against each Keller prime found. This score is calculated using the value n of the Keller exponent, and is an adjusted version of the score used in Chris Caldwell's Prime Page to rank contributors. The formula is the integer part of the value obtained in the following manner.

  1. Calculate (n.log(2))3.log(n.log(2))
  2. Divide by 1010
  3. Take the logarithm,
  4. Multiply by 100

The score is zero at an exponent of 1623, 568 at 10001, 784 at 20001 and 1000 at 40132, which indicates a reasonable sized Keller prime. The highest score is from PSP at 2671.

In order to calculate the total score, or rank, for a contributor, I back up to the intermediate value obtained at step 2 for each Keller prime, add up all these values, then re-apply steps 3 and 4 to get a manageable value.

The rank is as follows :

PSP

2704

Primegrid

2686

Dan Morenus

2140

Joe McLean

1945

Kimmo Herranen

1913

Jim McElhatton

1876

Brian Schroeder

1845

Jim Fougeron

1671

Dirk Augustin

1652

Sander Hoogendoorn

1631

Nestor Melo

1426

Phil Carmody

1361

Ray Ballinger

1338

Daval Davis

1272

Pavlos Siridis

1225

 

Although the scoring method tends to squeeze things closer together, so that the relative effort is not particularly well represented, the order that is produced is always accurate. I know that this scoring mechanism doesn't take in to account searches that did not produce primes, but it is reaonsable to assume that the reward in terms of primes found is approximately proportional to the amount of effort put in.

Last updated @ 19/01/2017

URL : irvinemclean dot com slash sierkell.htm