Additions in 2015

December 2015

Prime 20-tuplet

(NEW RECORD!)
154016910009801751265474541311 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80
(30 digits, 16 Dec 2015, Raanan Chermoni & Jaroslaw Wroblewski)

October 2015

Prime 21-tuplet

(The second ever non-trivial example!)
(NEW RECORD!)
138433730977092118055599751669 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80, 84
(30 digits, 8 Oct 2015, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 20-tuplet

131900255854906356663126180791 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80
(30 digits, 20 Oct 2015, Raanan Chermoni & Jaroslaw Wroblewski)

114601431611676407654036210321 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80
(30 digits, 20 Oct 2015, from 3 Sep 2015, Raanan Chermoni & Jaroslaw Wroblewski)

140661282456312925227370009589 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(30 digits, 8 Oct 2015, Raanan Chermoni & Jaroslaw Wroblewski)

140005104744811513908777956909 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(30 digits, 8 Oct 2015, Raanan Chermoni & Jaroslaw Wroblewski)

131353007727172552185076031849 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(30 digits, 8 Oct 2015, Raanan Chermoni & Jaroslaw Wroblewski)

September 2015

Prime 20-tuplet

(NEW RECORD!)
121888742383899006588229597469 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(30 digits, 9 Sep 2015, Raanan Chermoni & Jaroslaw Wroblewski)

Prime Quadruplet

(NEW RECORD!)
2673092556681 * 153048 + d, d = -4, -2, 2, 4 (3598 digits, 14 Sep 2015, Serge Batalov, OpenPFGW, NewPGen, Primo)

Prime Triplet

3221449497221499 * 234567 + d, d = -1, 1, 5 (10422 digits, 2 Sep 2015, Peter Kaiser, NewPGen, LLR, Primo)

August 2015

Prime 20-tuplet

(NEW RECORD!)
111286948968140923889225384099 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(30 digits, 13 August 2015, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 6-tuplet

(NEW RECORD!)
56955179868148127192911167380358423268347394410089842129140156658466369 * 1607# + 82984537
+ d, d = 0, 4, 6, 10, 12, 16 (751 digits, 8 Aug 2015, Vidar Nakling, Primo)

July 2015

Prime 20-tuplet

(NEW RECORD!)
97344384991448238094880899499 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(29 digits, 11 Jul 2015, Raanan Chermoni & Jaroslaw Wroblewski)

April 2015

Prime 20-tuplet

58228410683159656922037124961 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80
(29 digits, 30 Apr 2015, Raanan Chermoni & Jaroslaw Wroblewski)

(NEW RECORD!)
69611500022230424427263424221 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80
(29 digits, 22 Apr 2015, Raanan Chermoni & Jaroslaw Wroblewski)

February 2015

Prime 20-tuplet

(NEW RECORD!)
40814702190384518551961455541 + 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 Feb 2015, Raanan Chermoni & Jaroslaw Wroblewski)

January 2015

Prime 21-tuplet

(FIRST EVER NON-TRIVIAL EXAMPLE!!)
(NEW RECORD!)
39433867730216371575457664399 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80, 84
(29 digits, 8 Jan 2015, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 20-tuplet

38299233570943052294942174849 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(29 digits, 9 Jan 2015, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 6-tuplet

(NEW RECORD!)
391920120903547650120329378696362044618319386407239508453167024439178985045498790600310298931245078011665141488718221144
402728008841985546074620427235098669951080416452987007849969199215172254155195529863097969853084190453728650037452220380
184681391570092753684727879715473377537 * 1013# + 6503587 + d, d = 0, 4, 6, 10, 12, 16 (700 digits, 23 Jan 2015, Vidar Nakling, Primo)