Additions in 2014

December 2014

Prime 20-tuplet

(NEW RECORD!)
17546231261175189855273591491 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80
(29 digits, 11 Dec 2014, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 6-tuplet

467197272972535281812294114968879583036899825336211555483727688180233362871717424520433678646239798840286684994124343552157002822479445061321217973796
789996343146807090861190738742454232569941618189864683903326675169723070698409551818937522105054198053694230160273900951527290843701581806326898800511
892969183113038160892639628412681131149940006263513127749285237956463871166922433613252271225752639027031639590677238235001463520528469525508948854951
738662011026294236894785831969745642070469581906895381174547631789334276066101601602019419863595712974206341468134143646770148285682879121589927724799
7778189111505134511351782855366537 + d, d = 0, 4, 6, 10, 12, 16 (634 digits, 5 Dec 2014, the Riecoin project #168912, Primo)

November 2014

Prime 6-tuplet

(NEW RECORD!)
689702036532655186685581028503873005405874329363269153979622096014346785019088707220301256048568366498602811964467654774670820091972463
194208186476882699386082393716593309811371422836387527549653095824492750394092045532275098135652952423078356472379653908988713872759020
566218763497459878106775183203857648413997381256598543877696056491021898353604500233203798629403923570165634119564742536549584121471881
689569379964364152289494693118199337926886001843460903637314310532482306798517536171711379098711480663572269535063407688377687623951196
977582998449120940358830276897328119483620011984713125859631603652231485340570118364685553782567043880668996080767
+ d, d = 0, 4, 6, 10, 12, 16 (654 digits, 26 Nov 2014, the Riecoin project #164880, Primo)

(NEW RECORD!)
145706880639753656737279521958539605150826371575437551598376257412198564200098236683024478621533212186622837764946553552836830460783254
125965129888309891835134016028148376391477335294028615544696350993458772877657622091279628567559666549129423984030662114589209305798504
835129107410525330006954152630492665813319203174926300635633188526825646444266627820374457016303562341149903579239837584386378392653903
870221101124209687177595498779757674767712364306682147365388176296110468770745154438587553257494473455834414798313541113447770440833422
289365278564577509822628100266779065522554965904971178293533040332095883095722435581310387267
+ d, d = 0, 4, 6, 10, 12, 16 (633 digits, 18 Nov 2014, the Riecoin project #160848, Primo)

Prime 12-tuplet

(NEW RECORD!)
450725899 * 113# + 1748520218561 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (56 digits, 4 Nov 2014, Martin Raab)

October 2014

Prime 20-tuplet

(NEW RECORD!)
14374153072440029138813893241 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80
(29 digits, 6 Oct 2014, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 11-tuplet

705484555578416 * 150# + 23378471 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (73 digits, 2 Oct 2014, Norman Luhn)

Prime 10-tuplet

1587814371067375 * 150# + 23378471 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (73 digits, 2 Oct 2014, Norman Luhn)
1587447530513373 * 150# + 23378471 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (73 digits, 2 Oct 2014, Norman Luhn)
1114702802708799 * 150# + 23378471 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (73 digits, 2 Oct 2014, Norman Luhn)
1095480220737315 * 150# + 23378471 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (73 digits, 2 Oct 2014, Norman Luhn)

Prime 6-tuplet

(NEW RECORD!)
8700325136612927132017229726082016541451211848876030155639862649818849145646358277686273968781999872868722459777111857484469717539832807
0762971115423157263105356623008427647886023227207644547260993660031471135999127435197470213135248572138389921735356454877748038229226004
183336203971007647570909842423549949186185382797676282255224158287242481391522282240117490588685419026728 * 547# + 7187767
+ d, d = 0, 4, 6, 10, 12, 16 (600 digits, 6 Oct 2014, Vidar Nakling, Primo)

September 2014

Prime 12-tuplet

(NEW RECORD!)
613176722801194 * 151# + 177321217 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (75 digits, 30 Sep 2014, Michael Stocker, Primo)

Prime 11-tuplet

446098440707057 * 151# + 177321217 + d, d = 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (75 digits, 30 Sep 2014, Michael Stocker, Primo)

Prime 6-tuplet

(NEW RECORD!)
4921035090333221245281056600469203091910280140820896181940314619657756374547612468071120273355418960561478350682547569140488875214418457
6829642013820327715134517698358480593140810554258883403885165265601751315494217008739561682229016850460463808563705389240593714101390417
041923848552993164967582998322929410571554746087497007967825846220015325654831770578435398632279854720 * 547# + 8061997
+ d, d = 0, 4, 6, 10, 12, 16 (597 digits, 26 Sep 2014, Vidar Nakling, Primo)

August 2014

Prime 11-tuplet

422969185886875 * 151# + 177321223 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36 (74 digits, 29 Aug 2014, Michael Stocker)

Twin Prime

38529154785 * 2173250 ± 1 (52165 digits, 29 Aug 2014, from Jul 2014, Batalov, NewPGen, LLR)

June 2014

Prime 20-tuplet

(FIRST EVER NON-TRIVIAL EXAMPLE !!!)
(NEW RECORD!)
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, 24 Jun 2014, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 10-tuplet

(NEW RECORD!)
118557188915212 * 260# + 25658441 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (118 digits, 27 Jun 2014, Norman Luhn)

Prime 8-tuplet

(NEW RECORD!)
29995576270632 * 550# + 1277 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 (236 digits, 24 Jun 2014, Norman Luhn)

Prime Quintuplet

(Smallest example with 1000 digits)
10999 + 3554007760224751 + d, d = 0, 2, 6, 8, 12 (1000 digits, 1 Jun 2014, Norman Luhn, Primo)

May 2014

Prime 12-tuplet

(NEW RECORD!)
467756 * 151# + 193828829641176461 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (66 digits, 20 May 2014, Roger Thompson)

April 2014

Prime Triplet

1288726869465789 * 234567 + d, d = -5, -1, +1 (10421 digits, 23 Apr 2014, Peter Kaiser)

March 2014

Prime 18-tuplet

(NEW RECORD!)
5867208169546174917450987997 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70
(28 digits, 11 Mar 2014, Raanan Chermoni & Jaroslaw Wroblewski)

(NEW RECORD!)
5621078036155517013724659007 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70
(28 digits, 4 Mar 2014, Raanan Chermoni & Jaroslaw Wroblewski)

January 2014

Prime 18-tuplet

(NEW RECORD!)
4668263977931056970475231217 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 (28 digits, 4 Jan 2014, Raanan Chermoni & Jaroslaw Wroblewski)

4652363394518920290108071167 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 (28 digits, 4 Jan 2014, Raanan Chermoni & Jaroslaw Wroblewski)
4483200447126419500533043987 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 (28 digits, 4 Jan 2014, Raanan Chermoni & Jaroslaw Wroblewski)

Prime Quintuplet

(NEW RECORD!)
163252711105 * 3371# / 2 + d, d = -8, -4, -2, 2, 4 (1443 digits, 4 Jan 2014, Serge Batalov, OpenPFGW, NEWPGEN, Primo)