Additions in 2020

December 2020

Prime 20-tuplet

(NEW RECORD!)
1153897621507935436463788957529 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(31 digits, December 26, 2020, Raanan Chermoni & Jaroslaw Wroblewski)

(NEW RECORD!)
1135540756371356698957890225821 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80
(31 digits, December 19, 2020, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 8-tuplet

(Smallest with 200 digits and each pattern)
10199 + 4456720213751803153 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (200 digits, December 2020, Norman Luhn)
10199 + 589262946758538727 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 (200 digits, December 2020, Norman Luhn)
10199 + 4342765936145019181 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (200 digits, December 2020, Norman Luhn)

November 2020

Prime 20-tuplet

(NEW RECORD!)
1126002593922465663847897293731 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80
(31 digits, November 17, 2020, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 11-tuplet

(Smallest with 60 digits and each pattern)
1059 + 159423129446889739801 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (60 digits, November 2020, Norman Luhn)
1059 + 193421153600255926293 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 (60 digits, November 2020, Norman Luhn)

Quintuplet

(NEW RECORD!)
(FIRST KNOWN WITH MORE THAN 2000 DIGITS !!!)
126831252923413 • 4657# / 273 + d, d = 1, 3, 7, 9, 13 (2002 digits, 8 Nov 2020, Peter Kaiser, PRIMO)

Prime Twins

191547657 • 2^173372 +/- 1 (52199 digits, Nov 2020, Stephan Schöler Eric Vautier, MULTISIEVE, LLR)

October 2020

Prime 20-tuplet

(NEW RECORD!)
1094372814043722195189448411199 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(31 digits, October 20, 2020, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 7-tuplet

(Smallest with 300 digits to given pattern)
10299 + 1778767958673650041 + d, d = 0, 2, 6, 8, 12, 18, 20 (300 digits, Oct 2020, Norman Luhn, PRIMO)

Prime 6-tuplet

(Smallest with 500 digits to given pattern)
10499 + 464261549124325347 + d, d = 0, 4, 6, 10, 12, 16 (500 digits, Oct 2020, Norman Luhn, PRIMO)

September 2020

Prime 20-tuplet

(NEW RECORD!)
1060475118776959297139870952701 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80
(31 digits, September 18, 2020, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 7-tuplet

687001431518312990252195799540952 • 719# + 980125031081081 + d, d = 0, 2, 6, 8, 12, 18, 20 (331 digits, 25 Sep 2020, Michalis Christou, Rieminer)
686636073174158279347746711902518 • 719# + 701889794782061 + d, d = 0, 2, 6, 8, 12, 18, 20 (331 digits, 25 Sep 2020, Michalis Christou, Rieminer)
686488342697495738978150794512038 • 719# + 1277156391416021 + d, d = 0, 2, 6, 8, 12, 18, 20 (331 digits, 25 Sep 2020, Michalis Christou, Rieminer)
686305940768787196771563962517233 • 719# + 1487854607298791 + d, d = 0, 2, 6, 8, 12, 18, 20 (331 digits, 25 Sep 2020, Michalis Christou, Rieminer)
686129792256610907998640667932122 • 719# + 701889794782061 + d, d = 0, 2, 6, 8, 12, 18, 20 (331 digits, 25 Sep 2020, Michalis Christou, Rieminer)
685817639451814894948541841801955 • 719# + 437163765888581 + d, d = 0, 2, 6, 8, 12, 18, 20 (331 digits, 25 Sep 2020, Michalis Christou, Rieminer)
685742760351823640591883517000048 • 719# + 437163765888581 + d, d = 0, 2, 6, 8, 12, 18, 20 (331 digits, 25 Sep 2020, Michalis Christou, Rieminer)

Prime Quintuplet

405095429109490796 • 2683# + 16057 + d, d = 0, 4, 6, 10, 12 (1150 digits, 4 Jul 2020, Michael Bell, RIEMINER, ECPP-DJ)

July 2020

Prime 20-tuplet

(NEW RECORD!)
999627565307688186459783232931 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80
(30 digits, June 19, 2020, Raanan Chermoni & Jaroslaw Wroblewski)

April 2020

Prime 10-tuplet

(NEW RECORD!)
33521646378383216495527 • 331# + 4700094892301 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (156 digits, 4 Apr 2020,Thomas Nguyen, RIEMINER 0.91, MPZ-APRCL)

Prime 9-tuplet

33573397313845714753978 • 331# + 7908189600581 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (156 digits, 4 Apr 2020, Thomas Nguyen, RIEMINER 0.91, MPZ-APRCL)
5544606140650410440829071 • 317# + 294920291201 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (156 digits, 4 Apr 2020, Thomas Nguyen, RIEMINER 0.91, MPZ-APRCL)
2775036349909594030478537 • 317# + 6218504101541 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (155 digits, 4 Apr 2020, Thomas Nguyen, RIEMINER 0.91, MPZ-APRCL)
1387611804854513134868045 • 317# + 294920291201 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (155 digits, 4 Apr 2020, Thomas Nguyen, RIEMINER 0.91, MPZ-APRCL)
693634054269276830020489 • 317# + 6218504101541 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (155 digits, 4 Apr 2020, Thomas Nguyen, RIEMINER 0.91, MPZ-APRCL)
346724037471912148556662 • 317# + 1291458592421 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (154 digits, 4 Apr 2020, Thomas Nguyen, RIEMINER 0.91, MPZ-APRCL)
173231418196382013695130 • 317# + 730121110331 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (154 digits, 4 Apr 2020, Thomas Nguyen, RIEMINER 0.91, MPZ-APRCL)
86567535821213817832335 • 317# + 30491978649941 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (154 digits, 4 Apr 2020, Thomas Nguyen, RIEMINER 0.91, MPZ-APRCL)
13723550448441460100886803 • 313# + 294920291201 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (153 digits, 4 Apr 2020, Thomas Nguyen, RIEMINER 0.91, MPZ-APRCL)
798964535203992 • 313# + 33081664151 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (143 digits, 4 Apr 2020, Thomas Nguyen, RIEMINER 0.91, MPZ-APRCL)

March 2020

Prime 20-tuplet

(NEW RECORD!)
957278727962618711849051282459 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(30 digits, March 23, 2020, Raanan Chermoni & Jaroslaw Wroblewski)