← Additions in 2018

December 2018

Prime 20-tuplet

639121700726230052098229452019 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80 (30 digits, 23 Dec 2018, Raanan Chermoni & Jaroslaw Wroblewski)
594750459626903777773717631519 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80 (30 digits, 23 Dec 2018, Raanan Chermoni & Jaroslaw Wroblewski)
593820854957327357933627374349 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80 (30 digits, 23 Dec 2018, Raanan Chermoni & Jaroslaw Wroblewski)
3941119827895253385301920029 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80 (28 digits, 23 Dec 2018, from 24 June 2014, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 15-tuplet

(first of each pattern with 25 digits)
1000543345438817590469987 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (25 digits, 26 Dec 2018, Norman Luhn)
1000543338893999053267943 + d, d = 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56 (25 digits, 26 Dec 2018, Norman Luhn)
1000246552183249816179851 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 (25 digits, 26 Dec 2018, Norman Luhn)
1000009162985306844349997 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (25 digits, 26 Dec 2018, Norman Luhn)

November 2018

(smallest with 22 digits to given pattern)
Prime 15-tuplet

1054894504682878214183 + d, d = 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56 (22 digits, 8 Nov 2018, Norman Luhn)

Prime 14-tuplet

(first of each pattern with 30 digits)
100000002035131598446115103869 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 (30 digits, 8 Nov 2018, Norman Luhn)
100000001000754177673926741281 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (30 digits, 8 Nov 2018, Norman Luhn)

Prime 6-tuplet

6646873760397777881866826327962099685830865900246688640856 • 1699# + 43777 + d, d = 0, 4, 6, 10, 12, 16 (780 digits, 8 Nov 2018, Vidar Nakling, Primo)

October 2018

Prime 10-tuplet

2³⁴⁵ - (2³⁴⁵ mod 193#) + 21623648394477 • 193# + 27196901 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (104 digits, 12 Sep 2018, Craig Loizides)
2³⁴⁵ - (2³⁴⁵ mod 191#) + 529379277568620 • 191# + 68187851 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (104 digits, 12 Sep 2018, Craig Loizides)
2³⁴⁵ - (2³⁴⁵ mod 191#) + 446242671125040 • 191# + 68187851 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (104 digits, 12 Sep 2018, Craig Loizides)
2³⁴⁵ - (2³⁴⁵ mod 191#) + 349863939278274 • 191# + 68187851 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (104 digits, 12 Sep 2018, Craig Loizides)
2³⁴⁵ - (2³⁴⁵ mod 191#) + 257429255624673 • 191# + 73018061 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (104 digits, 12 Sep 2018, Craig Loizides)
2³⁴⁵ - (2³⁴⁵ mod 191#) + 230076433146594 • 191# + 68187851 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (104 digits, 12 Sep 2018, Craig Loizides)
2³⁴⁵ - (2³⁴⁵ mod 191#) + 76528118787174 • 191# + 35561411 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (104 digits, 12 Sep 2018, Craig Loizides)

Prime 6-tuplet

29720510172503062360713760607985203309940766118866743491802189150471978534404249 • 2²²⁹⁹
+ 14271253084334081637544486111223831073612730979632132919368177563415768349505 + d, d = 0, 4, 6, 10, 12, 16 (772 digits, 1/28/2018, Riecoin #822096)

29749903422302373222996698880833194129159047179535887991184960156219652236318921 • 2²²⁹³
+ 679631792885016654160023247517239700227428004849763556497260661860592843345 + d, d = 0, 4, 6, 10, 12, 16 (770 digits, 12/9/2017, Riecoin #793872)

29696802688480280387313212926526693549449146292085717645262228449092881114972806 • 2²²⁹⁰
+ 1946690158750077943506249776690378666457458353296002764327070450442847661633 + d, d = 0, 4, 6, 10, 12, 16 (769 digits, 2/25/2018, Riecoin #838224)

29744205023784420961031622414734790416939049568996819659808238403983863222665068 • 2²²⁸⁸
+ 14305894933680691041378655981062938998356035914288745998258984615535179477709 + d, d = 0, 4, 6, 10, 12, 16 (769 digits, 2/18/2018, Riecoin #834192)

29707412718946949415029080194980493978605678414396606766712262274235284928962561 • 2²²⁷⁸
+ 21774293793439586643674306888881718167342014062406478752847391700510857054773 + d, d = 0, 4, 6, 10, 12, 16 (766 digits, 1/14/2018, Riecoin #814032)

29696978890366869883141509418765838581871522982358338407613039711378021084519043 • 2²²⁵⁹
+ 24152316155470595374357736963765392505702343434016117070743766886456802014213 + d, d = 0, 4, 6, 10, 12, 16 (760 digits, 12/31/2017, Riecoin #805968)

29691575669072177222494655186416928710256802541243921484227880404600991044790342 • 2²²⁵⁹
+ 22953847913844494543791161053509719129919186139904030102712344430311343318911 + d, d = 0, 4, 6, 10, 12, 16 (760 digits, 12/16/2017, Riecoin #797904)

29738370152765841200477916368997470863233149039979929714395166089470825913521999 • 2²²⁵⁰
+ 3267273123746637724423731592929240166353975680818870504129389950929427468581 + d, d = 0, 4, 6, 10, 12, 16 (757 digits, 2/11/2018, Riecoin #830160)

29656695626537086679908301166093619978016058368950498756597441439757130039605823 • 2²²⁵⁰
+ 61971018968167220204194547542408596054058126609751836190798307851969208029835 + d, d = 0, 4, 6, 10, 12, 16 (757 digits, 2/14/2018, Riecoin #826128)

29664529168062282268710370991044076633949050494232502090728322242390321509764945 • 2²²²⁸
+ 335506584103312824802650823063246672869826697864238292374979370234904346957 + d, d = 0, 4, 6, 10, 12, 16 (751 digits, 12/02/2017, Riecoin #789840)

September 2018

Prime 20-tuplet

(NEW RECORD!)
562422394447827908154562532159 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80 (30 digits, 5 Sep 2018, Raanan Chermoni & Jaroslaw Wroblewski)

562324418721793120042174985351 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80 (30 digits, 5 Sep 2018, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 11-tuplet

(NEW RECORD!)
2³⁴⁵ - (2³⁴⁵ mod 191#) + 720445513799051•191# + 73018061 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (104 digits, 12 Sep 2018, Craig Loizides)

May 2018

Prime 20-tuplet

(NEW RECORD!)
494179332730633784520908832239 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(30 digits, 23 May 2018, Raanan Chermoni & Jaroslaw Wroblewski)

March 2018

Prime 20-tuplet

(NEW RECORD!)
466435879660522367654413675211 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80
(30 digits, 15 Mar 2018, Raanan Chermoni & Jaroslaw Wroblewski)

February 2018

Prime 10-tuplet

(smallest with 76 digits to given pattern)
10⁷⁵ + 447368163289830781 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (76 digits, 12 Feb 2018, Norman Luhn)

January 2018

Prime 20-tuplet

(NEW RECORD!)
452101241612347545944528242469 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(30 digits, 28 Jan 2018, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 7-tuplet

(NEW RECORD!)
115828580393941 • 1200# + 5132201 + d, d = 0, 2, 6, 8, 12, 18, 20 (515 digits, 18 Jan 2018, Norman Luhn, Primo)