Additions in 2019

November 2019

Prime 9-tuplet

(NEW RECORD!)
288807316346272652375 * 463# + 8750853101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (214 digits, 25 Nov 2019, Thomas Nguyen)

Prime 8-tuplet

590660124858669876253049 * 463# + 2843348351 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (217 digits, 25 Nov 2019, Thomas Nguyen)
308524121366880826 * 467# + 182403491 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (213 digits, 25 Nov 2019, Thomas Nguyen)
154509586166224242 * 467# + 1042090781 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (213 digits, 25 Nov 2019, Thomas Nguyen)
36122436922972238825 * 463# + 2843348351 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (213 digits, 25 Nov 2019, Thomas Nguyen)
17994294388936027452 * 463# + 1459270271 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (212 digits, 25 Nov 2019, Thomas Nguyen)
9025615804459783605 * 463# + 910935911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (212 digits, 25 Nov 2019, Thomas Nguyen)
4504276891005451176 * 463# + 1042090781 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (212 digits, 25 Nov 2019, Thomas Nguyen)
2254979416013092295 * 463# + 6765896981 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (212 digits, 25 Nov 2019, Thomas Nguyen)
521767329386425730400 * 461# + 910935911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (211 digits, 25 Nov 2019, Thomas Nguyen)
261093523824651564072 * 461# + 226449521 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (211 digits, 25 Nov 2019, Thomas Nguyen)

October 2019

Prime 20-tuplet

(NEW RECORD!)
839013472011818416634745523991 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80
(30 digits, 28 Oct 2019, Raanan Chermoni & Jaroslaw Wroblewski)

(NEW RECORD!)
831504454982803270879178298359 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(30 digits, 17 Oct 2019, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 8-tuplet

(NEW RECORD!)
6492845263546348546 * 691# + 226449521 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (309 digits, 19 Oct 2019, Thomas Nguyen, RIEMINER 0.91)

Prime 7-tuplet

6497444101354229763 * 691# + 226449521 + d, d = 0, 2, 6, 8, 12, 18, 20 (309 digits, 19 Oct 2019, Thomas Nguyen, RIEMINER 0.91)
6495530516090664594 * 691# + 910935911 + d, d = 0, 2, 6, 8, 12, 18, 20 (309 digits, 19 Oct 2019, Thomas Nguyen, RIEMINER 0.91)
6495150835353325712 * 691# + 15760091 + d, d = 0, 2, 6, 8, 12, 18, 20 (309 digits, 19 Oct 2019, Thomas Nguyen, RIEMINER 0.91)
6494438304765183098 * 691# + 226449521 + d, d = 0, 2, 6, 8, 12, 18, 20 (309 digits, 19 Oct 2019, Thomas Nguyen, RIEMINER 0.91)
6493342255554378256 * 691# + 226449521 + d, d = 0, 2, 6, 8, 12, 18, 20 (309 digits, 19 Oct 2019, Thomas Nguyen, RIEMINER 0.91)

September 2019

Prime 20-tuplet

(NEW RECORD!)
807462397198198801670343382679 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(30 digits, 25 Sep 2019, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 20-tuplet

(NEW RECORD!)
789292095021856634277511882469 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(30 digits, 3 Sep 2019, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 12-tuplet

(NEW RECORD! AND FIRST TO EXCEED 100 DIGITS !!!)
(NEW RECORD!)
13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 27407861785763183 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

Prime 11-tuplet

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 49376500222690335 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 46622982649030457 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 30796489110940369 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 27407861785763183 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 20731977215353082 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 20118509988610513 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 15866045335517629 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 5238271627884665 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (107 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 1296173254392493 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (107 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

Prime 10-tuplet

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 53586844409797545 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 51143234991402697 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 50679161987995696 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 49561325184911775 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 49376500222690335 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 48866957363924465 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 48450891632938904 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 48246843678337726 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 47856930537036851 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 46622982649030457 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (108 digits, 23 Sep 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

July 2019

Prime 20-tuplet

(NEW RECORD!)
764364269069907627842423582909 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(30 digits, July 17, 2019, Raanan Chermoni & Jaroslaw Wroblewski)

June 2019

Prime 7-tuplet

(NEW RECORD!)
328218688788602010456333410316884156014017012283287826533398471752444684864200635177806619672447392249620201536
539259942023218972369026762290403609010054873091866557776638590633976937291636312757660779987530903845763711693
853827939526026506444774774261236889041020217108597484837589978261046949778719918251649946655838797696590449739
3971453496036241885200541893611077817261813672809971503287259089 * 317# + 1068701 + d, d = 0, 2, 6, 8, 12, 18, 20
(527 digits, 16 Jun 2019, Vidar Nakling, RIEMINER0.9, Primo)

May 2019

Prime 20-tuplet

(NEW RECORD!)
686962597479437604159786541481 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80
(30 digits, 4 May 2019, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 11-tuplet

(NEW RECORD!)
13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 4471872451082759 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 (107 digits, 28 May 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

Prime 10-tuplet

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 9268026349694711 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (108 digits, 28 May 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501 + 4265997347677925 * 229#
+ d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (107 digits, 28 May 2019, Peter Kaiser, David Stevens, POLYSIEVE, PFGW, Primo)

Prime 6-tuplet

(smallest with 400 digits)
10399 + 33756090918084087 + d, d = 0, 4, 6, 10, 12, 16 (400 digits, 7 May 2019, Norman Luhn, Primo)

Prime 5-tuplet

(smallest with 1000 digits to given pattern)
10999 + 3818999670116007 + d, d = 0, 4, 6, 10, 12 (1000 digits, 9 May 2019, Norman Luhn, Primo)

Prime Triplet

647935598824239 * 233619 + d, d = -1, 1, 5 (10136 digits, 22 May 2019, Peter Kaiser, Primo)
209102639346537 * 233620 + d, d = -1, 1, 5 (10135 digits, 22 May 2019, Peter Kaiser, Primo)
185353103135997 * 233620 + d, d = -1, 1, 5 (10135 digits, 22 May 2019, Peter Kaiser, Primo)
162615027598677 * 233620 + d, d = -1, 1, 5 (10135 digits, 22 May 2019, Peter Kaiser, Primo)

April 2019

Prime 20-tuplet

(NEW RECORD!)
701870455949526598513130862539 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(30 digits, 7 Apr 2019, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 7-tuplet

(smallest with 320 digits to given pattern)
10319 + 2219844666811981651 + d, d = 0, 2, 6, 8, 12, 18, 20 (320 digits, 9 Apr 2019, Norman Luhn, Primo)

Prime Triplet

(First known with more than 20000 digits !!!)
(NEW RECORD!)
4111286921397 * 266420 + d, d = -1, 1, 5 (20008 digits, 24 Apr 2019, Peter Kaiser, POLYSIEVE, LLR, Primo)

February 2019

Prime 20-tuplet

(NEW RECORD!)
667424014858149638371951648871 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80
(30 digits, February 18, 2019, Raanan Chermoni & Jaroslaw Wroblewski)

Prime Triplet

(FIRST KNOWN GIGANTIC PRIME QUADRUPLET !!!)
(NEW RECORD!)
667674063382677 * 233608 + d, d = -1, 1, 5, 7 (10132 digits, 27 Feb 2019, Peter Kaiser, Primo)

January 2019

Prime 21-tuplet

(NEW RECORD!)
622803914376064301858782434517 + d, d = 0, 4, 6, 10, 12, 16, 24, 30, 34, 40, 42, 46, 52, 54, 60, 66, 70, 72, 76, 82, 84
(30 digits, 1 Jan 2018, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 19-tuplet

(NEW RECORD!)
622803914376064301858782434517 + d, d = 0, 4, 6, 10, 12, 16, 24, 30, 34, 40, 42, 46, 52, 54, 60, 66, 70, 72, 76
(30 digits, 1 Jan 2018, Raanan Chermoni & Jaroslaw Wroblewski)