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k	Smallest 5 digit prime k-tuplets
1	10007
2	10007 + d, d = 0, 2
3	10331 + d, d = 0, 2, 6 10267 + d, d = 0, 4, 6
4	13001 + d, d = 0, 2, 6, 8
5	16061 + d, d = 0, 2, 6, 8, 12 15727 + d, d = 0, 4, 6, 10, 12
6	16057 + d, d = 0, 4, 6, 10, 12, 16
7	88799 + d, d = 0, 2, 6, 8, 12, 18, 20
8	88793 + d, d = 0, 6, 8, 14, 18, 20, 24, 26
9	88789 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30

k	Smallest 10 digit prime k-tuplets
1	1000000007
2	1000000007 + d, d = 0, 2
3	1000002821 + d, d = 0, 2, 6 1000003267 + d, d = 0, 4, 6
4	1000025261 + d, d = 0, 2, 6, 8
5	1000511711 + d, d = 0, 2, 6, 8, 12 1000408807 + d, d = 0, 4, 6, 10, 12
6	1002054787 + d, d = 0, 4, 6, 10, 12, 16
7	1012986041 + d, d = 0, 2, 6, 8, 12, 18, 20 1052047679 + d, d = 0, 2, 8, 12, 14, 18, 20
8	1042090781 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 1340301863 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 1081530467 + d, d = 0, 2, 6, 12, 14, 20, 24, 26
9	1042090781 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 1116452627 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 2335215973 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 1422475909 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30
10	9853497737 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32

k	Smallest 15 digit prime k-tuplets
1	100000000000031
2	100000000000097 + d, d = 0, 2
3	100000000020671 + d, d = 0, 2, 6 100000000015243 + d, d = 0, 4, 6
4	100000000945721 + d, d = 0, 2, 6, 8
5	100000008145391 + d, d = 0, 2, 6, 8, 12 100000006111627 + d, d = 0, 4, 6, 10, 12
6	100000044514957 + d, d = 0, 4, 6, 10, 12, 16
7	100000693558301 + d, d = 0, 2, 6, 8, 12, 18, 20 100001582015969 + d, d = 0, 2, 8, 12, 14, 18, 20
8	100006120639961 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 100005783304943 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 100003857608087 + d, d = 0, 2, 6, 12, 14, 20, 24, 26
9	100071483461681 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 100004143260377 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 100016493659893 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 100196744345209 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30
10	101010291474551 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 100764261765677 + d, d = 0, 2, 6, 12, 14, 20, 24 ,26, 30, 32
11	109319665100531 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 147119918235523 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36
12	380284918609481 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 186460616596327 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42
13	186460616596321 + d, d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48

k	Smallest 20 digit prime k-tuplets	Who	When
1	10000000000000000051
2	10000000000000000097 + d, d = 0, 2
3	10000000000000009157 + d, d = 0, 2, 6 10000000000000104667 + d, d = 0, 4, 6
4	10000000000002139271 + d, d = 0, 2, 6, 8
5	10000000000011687221 + d, d = 0, 2, 6, 8, 12 10000000000023029527 + d, d = 0, 4, 6, 10, 12
6	10000000000896654097 + d, d = 0, 4, 6, 10, 12, 16
7	10000000014594244001 + d, d = 0, 2, 6, 8, 12, 18, 20 10000000000620669029 + d, d = 0, 2, 8, 12, 14, 18, 20
8	10000000035522856811 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 10000000019714046473 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 10000000089523144847 + d, d = 0, 2, 6, 12, 14, 20, 24, 26
9	10000001132866238561 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 10000000416089831087 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 10000000150070562403 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 10000002754707169639 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30
10	10000005800403630281 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 10000062626749564067 + d, d = 0, 2, 6, 12, 14, 20, 24 ,26, 30, 32
11	10000149052637899271 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 10000465243817302333 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36
12	10000149052637899271 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 10032576111141808297 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42
13	10138452552101909921 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 10014979242404691673 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 10106500546068997303 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48 10183703425634251529 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 10043408944336693799 + d, d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 10044468277996476391 + d, d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48
14	12870536149631655611 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 10756418345074847279 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50	Vladimir Vlesycit Tony Forbes	2006 1997
15	44360646117391789301 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 17905159760365247387 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 16485850001899818467 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 14094050870111867483 + d, d = 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56	Tom Hadley Jim Morton Jörg Waldvogel Jens Kruse Andersen	2001 2001 2009 2007
16	47710850533373130107 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60	Tony Forbes & Jörg Waldvogel	1997

k	Smallest 25 digit prime k-tuplets	Who	When
1	1000000000000000000000007
2	1000000000000000000002731 + d, d = 0, 2
3	1000000000000000000006667 + d, d = 0, 2, 6 1000000000000000000036873 + d, d = 0, 4, 6
4	1000000000000000004331251 + d, d = 0, 2, 6, 8
5	1000000000000000004331251 + d, d = 0, 2, 6, 8, 12 1000000000000000040180977 + d, d = 0, 4, 6, 10, 12
6	1000000000000003453564567 + d, d = 0, 4, 6, 10, 12, 16
7	1000000000000025587650161 + d, d = 0, 2, 6, 8, 12, 18, 20 1000000000000015981152869 + d, d = 0, 2, 8, 12, 14, 18, 20
8	1000000000000046272349651 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 1000000000000093119713663 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 1000000000000140617860157 + d, d = 0, 2, 6, 12, 14, 20, 24, 26
9	1000000000004522792834171 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 1000000000004100170677157 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 1000000000002934648447963 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 1000000000006976668980799 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30
10	1000000000589467064712641 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 1000000000268318480740007 + d, d = 0, 2, 6, 12, 14, 20, 24 ,26, 30, 32
11	1000000001560625170837001 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 1000000001261574379991773 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36
12	1000000106831216871445181 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 1000000186007210660142097 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42
13	1000001086284058767464441 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 1000000717280543871559603 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 1000003668771484617174013 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48 1000001634089407242658199 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 1000000429146622251113639 + d, d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 1000001327368961591338501 + d, d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48
14	1000002426931990556579621 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 1000017034517150689514309 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50	Norman Luhn	Oct 2018
15	1000246552183249816179851 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 1000009162985306844349997 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 1000543345438817590469987 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 1000543338893999053267943 + d, d = 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56	Norman Luhn	Nov 2018
16	1015074281315414986743013 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 1008037335701436528651167 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60	Norman Luhn	Jan 2021
17	1024494443639408527082233 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 1234254817970443433617451 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 1271960773255490350812797 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 1341829940444122313597407 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66	Norman Luhn	Jun 2021
18	1906230835046648293290043 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66, 70 2845372542509911868266807 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70	Jörg Waldvogel & Peter Leikauf	2 Feb 2001 14 Nov 2000

k	Smallest 30 digit prime k-tuplets	Who	When
1	1029 + 319
2	1029 + 2797 + d, d = 0, 2
3	1029 + 94897 + d, d = 0, 2, 6 1029 + 28503 + d, d = 0, 4, 6
4	1029 + 1500631 + d, d = 0, 2, 6, 8
5	1029 + 71475241 + d, d = 0, 2, 6, 8, 12 1029 + 5046777 + d, d = 0, 4, 6, 10, 12
6	1029 + 77882127 + d, d = 0, 4, 6, 10, 12, 16
7	1029 + 83558810971 + d, d = 0, 2, 6, 8, 12, 18, 20 1029 + 78896353549 + d, d = 0, 2, 8, 12, 14, 18, 20
8	1029 + 83558810971 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 1029 + 4154056233103 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 1029 + 1001585883247 + d, d = 0, 2, 6, 12, 14, 20, 24, 26
9	1029 + 14914650424771 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 1029 + 31275549714337 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 1029 + 18457947875343 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 1029 + 4154056233099 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30
10	1029 + 1114063441932811 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 1029 + 799991850168967 + d, d = 0, 2, 6, 12, 14, 20, 24 ,26, 30, 32
11	1029 + 78715840821413011 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 1029 + 24418003636465233 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36
12	1029 + 189086460401854231 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 1029 + 771614435438200527 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42
13	1029 + 18487752891895982911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 1029 + 13427005044165137643 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 1029 + 5238550467902311893 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48 1029 + 22081569415744041319 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 1029 + 20240263059296095789 + d, d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 1029 + 22370766039587549751 + d, d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48	Norman Luhn	May 2018
14	1029 + 1000754177673926741281 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 1029 + 2035131598446115103869 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50	Norman Luhn	Oct 2018
15	1029 + 5745569203832854981801 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 1029 + 1341915517111319670637 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 1029 + 1651438068367136632687 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 1029 + 8317726120972779285703 + d, d = 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56	Norman Luhn	Apr 2021
16	unknown
17	unknown
18	unknown
19	unknown
20	1029 + 14601431611676407654036210321 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80 1029 + 11286948968140923889225384099 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80	Raanan Chermoni & Jaroslaw Wroblewski	20 Oct 2015 13 Aug 2015
21	1029 + 38433730977092118055599751669 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80, 84 1029 + 522803914376064301858782434517 + d, d = 0, 4, 6, 10, 12, 16, 24, 30, 34, 40, 42, 46, 52, 54, 60, 66, 70, 72, 76, 82, 84	Raanan Chermoni & Jaroslaw Wroblewski	8 Oct 2015 27 Dec 2018

k	Smallest 35 digit prime k-tuplets	Who	When
1	1034 + 193
2	1034 + 7597 + d, d = 0, 2
3	1034 + 246871 + d, d = 0, 2, 6 1034 + 818337 + d, d = 0, 4, 6
4	1034 + 5046781 + d, d = 0, 2, 6, 8
5	1034 + 9937381 + d, d = 0, 2, 6, 8, 12 1034 + 24371817 + d, d = 0, 4, 6, 10, 12
6	1034 + 43545932607 + d, d = 0, 4, 6, 10, 12, 16
7	1034 + 1103603221 + d, d = 0, 2, 6, 8, 12, 18, 20 1034 + 1010753083879 + d, d = 0, 2, 8, 12, 14, 18, 20
8	1034 + 9941203975171 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 1034 + 5830558027393 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 1034 + 4990478866417 + d, d = 0, 2, 6, 12, 14, 20, 24, 26
9	1034 + 296573570795971 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 1034 + 81757229262547 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 1034 + 93924026059953 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 1034 + 396160452668229 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30
10	1034 + 14892690899552011 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 1034 + 16047015095158567 + d, d = 0, 2, 6, 12, 14, 20, 24 ,26, 30, 32
11	1034 + 203530936330667071 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 1034 + 196173984538265823 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36
12	1034 + 418061226947909671 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 1034 + 853866745932894777 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42
13	1034 + 15141548551355951851 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 1034 + 94989640220894283993 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 1034 + 325778825790175217703 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48 1034 + 108412629077454977119 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 1034 + 54122451329461300669 + d, d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 1034 + 324000701496110723931 + d, d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48	Norman Luhn	5 Feb 2021
14	1034 + 1275924044876917671361 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 1034 + 9283441665311798539399 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50	Norman Luhn	5 Feb 2021

k	Smallest 40 digit prime k-tuplets	Who	When
1	1039 + 3
2	1039 + 10327 + d, d = 0, 2
3	1039 + 96841 + d, d = 0, 2, 6 1039 + 180543 + d, d = 0, 4, 6
4	1039 + 21293431 + d, d = 0, 2, 6, 8
5	1039 + 839088241 + d, d = 0, 2, 6, 8, 12 1039 + 484580697 + d, d = 0, 4, 6, 10, 12
6	1039 + 4735981887 + d, d = 0, 4, 6, 10, 12, 16
7	1039 + 322405388191 + d, d = 0, 2, 6, 8, 12, 18, 20 1039 + 998925263509 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	1039 + 20666195558461 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 1039 + 71639239896853 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 1039 + 2183018611627 + d, d = 0, 2, 6, 12, 14, 20, 24, 26	Norman Luhn
9	1039 + 1225030144620091 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 1039 + 85305656379157 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 1039 + 189164642750163 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 1039 + 882977245706229 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30	Norman Luhn
10	1039 + 5249435100188011 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 1039 + 39542770967979517 + d, d = 0, 2, 6, 12, 14, 20, 24 ,26, 30, 32	Norman Luhn
11	1039 + 1975273738886452891 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 1039 + 2311139156862870183 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36	Norman Luhn
12	1039 + 14199474796549777621 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 1039 + 78265031026823935137 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42	Norman Luhn
13	1039 + 282197071067938130221 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 1039 + 2713562652524314606953 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 1039 + 2334523699629280598673 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48 1039 + 349508508460276218889 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 1039 + 368816080526066037739 + d, d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 1039 + 349508508460276218891 + d, d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48	Norman Luhn	10 Mar 2021
14	1039 + 14210159036148101380471 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 1039 + 349508508460276218889 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50	Norman Luhn	20 Aug 2021 10 Mar 2021

k	Smallest 45 digit prime k-tuplets	Who	When
1	1044 + 31
2	1044 + 5179 + d, d = 0, 2
3	1044 + 220711 + d, d = 0, 2, 6 1044 + 532983 + d, d = 0, 4, 6
4	1044 + 3503731 + d, d = 0, 2, 6, 8
5	1044 + 1664400271 + d, d = 0, 2, 6, 8, 12 1044 + 1408479117 + d, d = 0, 4, 6, 10, 12
6	1044 + 31541352147 + d, d = 0, 4, 6, 10, 12, 16
7	1044 + 613612353601 + d, d = 0, 2, 6, 8, 12, 18, 20 1044 + 1792915867549 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	1044 + 52276144601851 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 1044 + 3576011240833 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 1044 + 7956561657937 + d, d = 0, 2, 6, 12, 14, 20, 24, 26	Norman Luhn
9	1044 + 52276144601851 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 1044 + 465632389077727 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 1044 + 1571950813548003 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 1044 + 259596943656189 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30	Norman Luhn
10	1044 + 183581530132228741 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 1044 + 71293486766726977 + d, d = 0, 2, 6, 12, 14, 20, 24 ,26, 30, 32	Norman Luhn
11	1044 + 5440457050056808411 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 1044 + 2278322182624606713 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36	Norman Luhn
12	1044 + 172106518341892028911 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 1044 + 41408120385362420817 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42	Norman Luhn	Feb 2021
13	1044 + 4356680452416578030761 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 1044 + 370753267420360939851 + d, d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48 1044 + 123638035929118697823 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 1044 + 2004740564798426955633 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48 1044 + 6149198224095343810309 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 1044 + 1385313747234235067869 + d, d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48	Norman Luhn	05 Feb 2022 09 Feb 2022 14 Feb 2022 06 Mar 2022 02 Mar 2022 09 Mar 2022

k	Smallest 50 digit prime k-tuplets	Who	When
1	1049 + 9
2	1049 + 8281 + d, d = 0, 2
3	1049 + 136807 + d, d = 0, 2, 6 1049 + 1447533 + d, d = 0, 4, 6
4	1049 + 58537891 + d, d = 0, 2, 6, 8	G. John Stevens	1995
5	1049 + 2625950761 + d, d = 0, 2, 6, 8, 12 1049 + 108888657 + d, d = 0, 4, 6, 10, 12
6	1049 + 12427403607 + d, d = 0, 4, 6, 10, 12, 16
7	1049 + 1920433761121 + d, d = 0, 2, 6, 8, 12, 18, 20 1049 + 5649726612769 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	1049 + 79626461485831 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 1049 + 119829260675203 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 1049 + 30593919062857 + d, d = 0, 2, 6, 12, 14, 20, 24, 26	Norman Luhn
9	1049 + 500925570224521 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 1049 + 5212838536064887 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 1049 + 3526198250883003 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 1049 + 1731699431041809 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30	Norman Luhn
10	1049 + 5620800916143211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 1049 + 921015585010336777 + d, d = 0, 2, 6, 12, 14, 20, 24 ,26, 30, 32	Norman Luhn
11	1049 + 21389429204344782841 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 1049 + 12954750883079039103 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36	Norman Luhn	Mar 2018
12	1049 + 896396147387349765031 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 1049 + 929532973818094710897 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42	Norman Luhn	Feb 2021
13	1049 + 19294427203099948114321 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48	Norman Luhn	07 May 2023

k	Smallest 55 digit prime k-tuplets	Who	When
1	1054 + 31
2	1054 + 3397 + d, d = 0, 2
3	1054 + 333727 + d, d = 0, 2, 6 1054 + 505677 + d, d = 0, 4, 6
4	1054 + 70632901 + d, d = 0, 2, 6, 8
5	1054 + 7803702511 + d, d = 0, 2, 6, 8, 12 1054 + 5276201487 + d, d = 0, 4, 6, 10, 12	Norman Luhn
6	1054 + 202473604737 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	1054 + 8659857796201 + d, d = 0, 2, 6, 8, 12, 18, 20 1054 + 2505850148329 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	1054 + 980321513334691 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 1054 + 142480178465713 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 1054 + 17979819771727 + d, d = 0, 2, 6, 12, 14, 20, 24, 26	Norman Luhn
9	1054 + 8563311308013451 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 1054 + 3740441195603467 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 1054 + 910226725158483 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 1054 + 20159113243329039 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30	Norman Luhn
10	1054 + 1666627511132831131 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 1054 + 104616471630452017 + d, d = 0, 2, 6, 12, 14, 20, 24 ,26, 30, 32	Norman Luhn
11	1054 + 57154735440903270901 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 1054 + 33565060517714821173 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36	Norman Luhn	Nov 2020
12	1054 + 2743862590724468830501 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 1054 + 2472745242956878304487 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42	Norman Luhn	23 Sep 2022 04 Oct 2022

k	Smallest 60 digit prime k-tuplets	Who	When
1	1059 + 19
2	1059 + 9091 + d, d = 0, 2
3	1059 + 1348891 + d, d = 0, 2, 6 1059 + 2368923 + d, d = 0, 4, 6
4	1059 + 108560281 + d, d = 0, 2, 6, 8
5	1059 + 5357705281 + d, d = 0, 2, 6, 8, 12 1059 + 1322561247 + d, d = 0, 4, 6, 10, 12	Norman Luhn
6	1059 + 452653830357 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	1059 + 19887101147311 + d, d = 0, 2, 6, 8, 12, 18, 20 1059 + 39867948764839 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	1059 + 729174675613831 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 1059 + 128336647721443 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 1059 + 67082447558197 + d, d = 0, 2, 6, 12, 14, 20, 24, 26	Norman Luhn
9	1059 + 34537645074778831 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 1059 + 13982833813936027 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 1059 + 24165976744068993 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 1059 + 21345699900951429 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30	Norman Luhn
10	1059 + 515161550631482971 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 1059 + 2328176665207324387 + d, d = 0, 2, 6, 12, 14, 20, 24 ,26, 30, 32	Norman Luhn
11	1059 + 159423129446889739801 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 1059 + 193421153600255926293 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36	Norman Luhn	Nov 2020

k	Smallest 65 digit prime k-tuplets	Who	When
1	1064 + 57
2	1064 + 6517 + d, d = 0, 2
3	1064 + 138427 + d, d = 0, 2, 6 1064 + 2170947 + d, d = 0, 4, 6
4	1064 + 96300631 + d, d = 0, 2, 6, 8
5	1064 + 1331606101 + d, d = 0, 2, 6, 8, 12 1064 + 2592746577 + d, d = 0, 4, 6, 10, 12	Norman Luhn
6	1064 + 472166511357 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	1064 + 28564671588271 + d, d = 0, 2, 6, 8, 12, 18, 20 1064 + 1278214952119 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	1064 + 1735172194056301 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 1064 + 758495500992223 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 1064 + 282559410160327 + d, d = 0, 2, 6, 12, 14, 20, 24, 26	Norman Luhn
9	1064 + 93494256831594241 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 1064 + 55553876510732347 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 1064 + 107092103945219433 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 1064 + 22247863271360409 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30	Norman Luhn
10	1064 + 5010524216556033301 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 1064 + 3300451182365708737 + d, d = 0, 2, 6, 12, 14, 20, 24 ,26, 30, 32	Norman Luhn
11	1064 + 470283001366815441931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 1064 + 113889255840810464103 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36	Norman Luhn	03 Jan 2022 05 Jan 2022

k	Smallest 70 digit prime k-tuplets	Who	When
1	1069 + 9
2	1069 + 38119 + d, d = 0, 2
3	1069 + 357217 + d, d = 0, 2, 6 1069 + 2861397 + d, d = 0, 4, 6
4	1069 + 6290401 + d, d = 0, 2, 6, 8
5	1069 + 3230007541 + d, d = 0, 2, 6, 8, 12 1069 + 2578024617 + d, d = 0, 4, 6, 10, 12	Norman Luhn
6	1069 + 1611641625027 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	1069 + 170323481556961 + d, d = 0, 2, 6, 8, 12, 18, 20 1069 + 5441995969219 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	1069 + 2331606916446421 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 1069 + 2125709156175583 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 1069 + 2567910238163827 + d, d = 0, 2, 6, 12, 14, 20, 24, 26	Norman Luhn
9	1069 + 238786075528107721 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 1069 + 29218688948555617 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 1069 + 133362849389750253 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 1069 + 2125709156175579 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30	Norman Luhn
10	1069 + 4792790433845661091 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 1069 + 7860460416945229177 + d, d = 0, 2, 6, 12, 14, 20, 24 ,26, 30, 32	Norman Luhn
11	1069 + 464743158493554630961 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 1069 + 164454587866429279653 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36	Norman Luhn	15 Jan 2022 28 Jan 2022

k	Smallest 75 digit prime k-tuplets	Who	When
1	1074 + 207
2	1074 + 19219 + d, d = 0, 2
3	1074 + 861427 + d, d = 0, 2, 6 1074 + 376953 + d, d = 0, 4, 6
4	1074 + 274350511 + d, d = 0, 2, 6, 8
5	1074 + 752645371 + d, d = 0, 2, 6, 8, 12 1074 + 2995061787 + d, d = 0, 4, 6, 10, 12	Norman Luhn
6	1074 + 961547012367 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	1074 + 32887343861521 + d, d = 0, 2, 6, 8, 12, 18, 20 1074 + 88298178151969 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	1074 + 1023452033356111 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 1074 + 3305820024393463 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 1074 + 422917907396737 + d, d = 0, 2, 6, 12, 14, 20, 24, 26	Norman Luhn
9	1074 + 39149997678561121 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 1074 + 79602896195026957 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 1074 + 287619383224587393 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 1074 + 183783659848776399 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30	Norman Luhn
10	1074 + 7427454845683084921 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 1074 + 21890582486371553287 + d, d = 0, 2, 6, 12, 14, 20, 24 ,26, 30, 32	Norman Luhn
11	1074 + 320007787118176002631 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36 1074 + 1376031966214004293173 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36	Norman Luhn	10 Oct 2022 26 Oct 2022

k	Smallest 80 digit prime k-tuplets	Who	When
1	1079 + 49
2	1079 + 30511 + d, d = 0, 2
3	1079 + 1842541 + d, d = 0, 2, 6 1079 + 56583 + d, d = 0, 4, 6
4	1079 + 171752581 + d, d = 0, 2, 6, 8
5	1079 + 41332120921 + d, d = 0, 2, 6, 8, 12 1079 + 3648022647 + d, d = 0, 4, 6, 10, 12	Norman Luhn
6	1079 + 3929742266607 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	1079 + 184602583718071 + d, d = 0, 2, 6, 8, 12, 18, 20 1079 + 424035709376539 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	1079 + 6120840350368801 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 1079 + 1270394909275543 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 1079 + 758516531671507 + d, d = 0, 2, 6, 12, 14, 20, 24, 26	Norman Luhn
9	1079 + 6120840350368801 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 1079 + 798375645923055427 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 1079 + 252454825542165123 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 1079 + 188652899427973209 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30	Norman Luhn
10	1079 + 10585817703213775471 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 1079 + 102136266166226877007 + d, d = 0, 2, 6, 12, 14, 20, 24 ,26, 30, 32	Norman Luhn

k	Smallest 85 digit prime k-tuplets	Who	When
1	1084 + 261
2	1084 + 44317 + d, d = 0, 2
3	1084 + 142651 + d, d = 0, 2, 6 1084 + 996777 + d, d = 0, 4, 6
4	1084 + 94451071 + d, d = 0, 2, 6, 8
5	1084 + 41097457831 + d, d = 0, 2, 6, 8, 12 1084 + 4579937787 + d, d = 0, 4, 6, 10, 12	Norman Luhn
6	1084 + 4158404476497 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	1084 + 132999670982251 + d, d = 0, 2, 6, 8, 12, 18, 20 1084 + 190666610759719 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	1084 + 17969321495792551 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 1084 + 5520462364522963 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 1084 + 2150422779085537 + d, d = 0, 2, 6, 12, 14, 20, 24, 26	Norman Luhn
9	1084 + 185810018704672351 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 1084 + 47554446619947157 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 1084 + 160519720598458173 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 1084 + 350046617288377989 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30	Norman Luhn
10	1084 + 22997034170524527571 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 1084 + 1250579054870603617 + d, d = 0, 2, 6, 12, 14, 20, 24 ,26, 30, 32	Norman Luhn

k	Smallest 90 digit prime k-tuplets	Who	When
1	1089 + 31
2	1089 + 5407 + d, d = 0, 2
3	1089 + 1435837 + d, d = 0, 2, 6 1089 + 366153 + d, d = 0, 4, 6
4	1089 + 518043391 + d, d = 0, 2, 6, 8
5	1089 + 4072332151 + d, d = 0, 2, 6, 8, 12 1089 + 19359041247 + d, d = 0, 4, 6, 10, 12	Norman Luhn
6	1089 + 103150304937 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	1089 + 289268162598631 + d, d = 0, 2, 6, 8, 12, 18, 20 1089 + 5381994345559 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	1089 + 8565922593545491 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 1089 + 9216074680833643 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 1089 + 2513170035733747 + d, d = 0, 2, 6, 12, 14, 20, 24, 26	Norman Luhn
9	1089 + 1343213766375577081 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 1089 + 791904550511743597 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 1089 + 172909940212389213 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 1089 + 620790505134478479 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30	Norman Luhn
10	1089 + 46561545070308183901 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 1089 + 30470680515123366127 + d, d = 0, 2, 6, 12, 14, 20, 24 ,26, 30, 32	Norman Luhn

k	Smallest 95 digit prime k-tuplets	Who	When
1	1094 + 97
2	1094 + 121 + d, d = 0, 2
3	1094 + 1210537 + d, d = 0, 2, 6 1094 + 10244187 + d, d = 0, 4, 6
4	1094 + 539480431 + d, d = 0, 2, 6, 8
5	1094 + 54601269541 + d, d = 0, 2, 6, 8, 12 1094 + 1972961097 + d, d = 0, 4, 6, 10, 12	Norman Luhn
6	1094 + 6022731250797 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	1094 + 851743844167321 + d, d = 0, 2, 6, 8, 12, 18, 20 1094 + 212207524641469 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	1094 + 11684783829603241 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 1094 + 19235798372973253 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 1094 + 21032705059027027 + d, d = 0, 2, 6, 12, 14, 20, 24, 26	Norman Luhn
9	1094 + 2355831229384158421 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 1094 + 2932158115245924697 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 1094 + 893789089611339483 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 1094 + 2684877596386494219 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30	Norman Luhn
10	1094 + 88417260467478988171 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 1094 + 8390609070050144107 + d, d = 0, 2, 6, 12, 14, 20, 24 ,26, 30, 32	Norman Luhn	25 Dec 2021 07 Dec 2021

k	Smallest 100 digit prime k-tuplets	Who	When
1	1099 + 289
2	1099 + 6001 + d, d = 0, 2
3	1099 + 1821127 + d, d = 0, 2, 6 1099 + 3067797 + d, d = 0, 4, 6
4	1099 + 349781731 + d, d = 0, 2, 6, 8	Warut Roonguthai	1995
5	1099 + 3959234101 + d, d = 0, 2, 6, 8, 12 1099 + 12538324407 + d, d = 0, 4, 6, 10, 12
6	1099 + 8007253801407 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	1099 + 586634818606681 + d, d = 0, 2, 6, 8, 12, 18, 20 1099 + 1320312655958749 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn Gerd Lamprecht	Jan 2018
8	1099 + 3057541923099787 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 1099 + 33592004675597353 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 1099 + 67905918474430951 + d, d = 0, 2, 6, 8, 12, 18, 20, 26	Norman Luhn	Feb 2018 Jan 2018 Jan 2018
9	1099 + 284377972157403661 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 1099 + 387560827546979797 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 1099 + 2351134920853062333 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 1099 + 4417618977099919719 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30	Norman Luhn	Apr 2019
10	1099 + 84878086452295590307 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 1099 + 707220670972957883551 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32	Norman Luhn	19 May 2020 6 May 2020

k	Smallest 105 digit prime k-tuplets	Who	When
1	10104 + 267
2	10104 + 3457 + d, d = 0, 2
3	10104 + 694771 + d, d = 0, 2, 6 10104 + 6897537 + d, d = 0, 4, 6
4	10104 + 951859441 + d, d = 0, 2, 6, 8	Norman Luhn
5	10104 + 21921196201 + d, d = 0, 2, 6, 8, 12 10104 + 95552423277 + d, d = 0, 4, 6, 10, 12
6	10104 + 1974070019457 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10104 + 37825097532931 + d, d = 0, 2, 6, 8, 12, 18, 20 10104 + 401670263375089 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	10104 + 8481024525985057 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 10104 + 63458476312381573 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 10104 + 16928125998071101 + d, d = 0, 2, 6, 8, 12, 18, 20, 26	Norman Luhn
9	10104 + 7917858553309940671 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 10104 + 459025173250922377 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 10104 + 2377739461478508873 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 10104 + 10825433926838978859 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30	Norman Luhn	01 Nov 2022 09 Nov 2022 09 Nov 2022 07 Nov 2022

k	Smallest 110 digit prime k-tuplets	Who	When
1	10109 + 457
2	10109 + 35371 + d, d = 0, 2
3	10109 + 6415297 + d, d = 0, 2, 6 10109 + 11320263 + d, d = 0, 4, 6
4	10109 + 214038511 + d, d = 0, 2, 6, 8	Norman Luhn
5	10109 + 2746970101 + d, d = 0, 2, 6, 8, 12 10109 + 51147255987 + d, d = 0, 4, 6, 10, 12
6	10109 + 20017039900917 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10109 + 2746970101 + d, d = 0, 2, 6, 8, 12, 18, 20 10109 + 4134073750854559 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	10109 + 58526420136409207 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 10109 + 82398383757642073 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 10109 + 32438339931952291 + d, d = 0, 2, 6, 8, 12, 18, 20, 26	Norman Luhn

k	Smallest 115 digit prime k-tuplets	Who	When
1	10114 + 271
2	10114 + 88237 + d, d = 0, 2
3	10114 + 535201 + d, d = 0, 2, 6 10114 + 9414753 + d, d = 0, 4, 6
4	10114 + 1137967651 + d, d = 0, 2, 6, 8	Norman Luhn
5	10114 + 22846126711 + d, d = 0, 2, 6, 8, 12 10114 + 8797498407 + d, d = 0, 4, 6, 10, 12
6	10114 + 734234378967 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10114 + 2809645827475021 + d, d = 0, 2, 6, 8, 12, 18, 20 10114 + 1204331983045999 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	10114 + 16835365367175787 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 10114 + 574026212329938043 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 10114 + 120163155770412751 + d, d = 0, 2, 6, 8, 12, 18, 20, 26	Norman Luhn

k	Smallest 120 digit prime k-tuplets	Who	When
1	10119 + 69
2	10119 + 39199 + d, d = 0, 2
3	10119 + 7532851 + d, d = 0, 2, 6 10119 + 6931653 + d, d = 0, 4, 6
4	10119 + 2048632891 + d, d = 0, 2, 6, 8	Norman Luhn
5	10119 + 147314870701 + d, d = 0, 2, 6, 8, 12 10119 + 5465448807 + d, d = 0, 4, 6, 10, 12
6	10119 + 24262562116017 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10119 + 2343972825025201 + d, d = 0, 2, 6, 8, 12, 18, 20 10119 + 5771688502223839 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	10119 + 15524370317950597 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 10119 + 62102228797606543 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 10119 + 67230037640177971 + d, d = 0, 2, 6, 8, 12, 18, 20, 26	Norman Luhn

k	Smallest 125 digit prime k-tuplets	Who	When
1	10124 + 753
2	10124 + 2149 + d, d = 0, 2
3	10124 + 2715781 + d, d = 0, 2, 6 10124 + 20161083 + d, d = 0, 4, 6
4	10124 + 1871400811 + d, d = 0, 2, 6, 8	Norman Luhn
5	10124 + 265335282421 + d, d = 0, 2, 6, 8, 12 10124 + 536780398617 + d, d = 0, 4, 6, 10, 12
6	10124 + 18451831606287 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10124 + 1516448012373301 + d, d = 0, 2, 6, 8, 12, 18, 20 10124 + 133726374524659 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	10124 + 90184918750376827 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 10124 + 122763578840114353 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 10124 + 10839226293817201 + d, d = 0, 2, 6, 8, 12, 18, 20, 26	Norman Luhn

k	Smallest 130 digit prime k-tuplets	Who	When
1	10129 + 459
2	10129 + 73021 + d, d = 0, 2
3	10129 + 9128347 + d, d = 0, 2, 6 10129 + 5911293 + d, d = 0, 4, 6
4	10129 + 2748589231 + d, d = 0, 2, 6, 8	Norman Luhn
5	10129 + 221533084351 + d, d = 0, 2, 6, 8, 12 10129 + 60997834527 + d, d = 0, 4, 6, 10, 12
6	10129 + 41675244074457 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10129 + 4999181176360831 + d, d = 0, 2, 6, 8, 12, 18, 20 10129 + 12209916320861509 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	10129 + 164970485356912207 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 10129 + 232652766837987943 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 10129 + 353816093640504031 + d, d = 0, 2, 6, 8, 12, 18, 20, 26	Norman Luhn

k	Smallest 135 digit prime k-tuplets	Who	When
1	10134 + 7
2	10134 + 142039 + d, d = 0, 2
3	10134 + 3456517 + d, d = 0, 2, 6 10134 + 8871963 + d, d = 0, 4, 6
4	10134 + 493019851 + d, d = 0, 2, 6, 8	Norman Luhn
5	10134 + 66606039481 + d, d = 0, 2, 6, 8, 12 10134 + 361066771887 + d, d = 0, 4, 6, 10, 12
6	10134 + 20474582698287 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10134 + 2016267896914651 + d, d = 0, 2, 6, 8, 12, 18, 20 10134 + 5030352782638969 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	10134 + 32882459574338707 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 10134 + 1402558748001088093 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 10134 + 873383234168270611 + d, d = 0, 2, 6, 8, 12, 18, 20, 26	Norman Luhn

k	Smallest 140 digit prime k-tuplets	Who	When
1	10139 + 513
2	10139 + 184267 + d, d = 0, 2
3	10139 + 19272907 + d, d = 0, 2, 6 10139 + 11130003 + d, d = 0, 4, 6
4	10139 + 469899331 + d, d = 0, 2, 6, 8	Norman Luhn
5	10139 + 235539117751 + d, d = 0, 2, 6, 8, 12 10139 + 344624244057 + d, d = 0, 4, 6, 10, 12
6	10139 + 69270293880357 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10139 + 19290882247134121 + d, d = 0, 2, 6, 8, 12, 18, 20 10139 + 244002618093319 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	10139 + 262369664627003017 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 10139 + 84232730386965673 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 10139 + 276656561661858211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26	Norman Luhn

k	Smallest 145 digit prime k-tuplets	Who	When
1	10144 + 91
2	10144 + 198259 + d, d = 0, 2
3	10144 + 2918581 + d, d = 0, 2, 6 10144 + 18516033 + d, d = 0, 4, 6
4	10144 + 800150731 + d, d = 0, 2, 6, 8	Norman Luhn
5	10144 + 590644287151 + d, d = 0, 2, 6, 8, 12 10144 + 118746745947 + d, d = 0, 4, 6, 10, 12
6	10144 + 2981601153627 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10144 + 6721223969652181 + d, d = 0, 2, 6, 8, 12, 18, 20 10144 + 8198244704670289 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	10144 + 1018463109094316317 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 10144 + 480474668669944393 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 10144 + 1442917682322142561 + d, d = 0, 2, 6, 8, 12, 18, 20, 26	Norman Luhn

k	Smallest 150 digit prime k-tuplets	Who	When
1	10149 + 183
2	10149 + 181627 + d, d = 0, 2
3	10149 + 1899841 + d, d = 0, 2, 6 10149 + 7736733 + d, d = 0, 4, 6
4	10149 + 105012451 + d, d = 0, 2, 6, 8	Norman Luhn
5	10149 + 633115825411 + d, d = 0, 2, 6, 8, 12 10149 + 195977215917 + d, d = 0, 4, 6, 10, 12
6	10149 + 15103097344707 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10149 + 7731026837871511 + d, d = 0, 2, 6, 8, 12, 18, 20 10149 + 1868307363026089 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn
8	10149 + 883945334707753267 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 10149 + 935628779313782743 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 10149 + 177107310312127411 + d, d = 0, 2, 6, 8, 12, 18, 20, 26	Norman Luhn

k	Smallest 155 digit prime k-tuplets	Who	When
1	10154 + 453
2	10154 + 30991 + d, d = 0, 2
3	10154 + 27285481 + d, d = 0, 2, 6 10154 + 7107333 + d, d = 0, 4, 6
4	10154 + 1658947471 + d, d = 0, 2, 6, 8	Norman Luhn
5	10154 + 1204932738421 + d, d = 0, 2, 6, 8, 12 10154 + 200691910827 + d, d = 0, 4, 6, 10, 12
6	10154 + 36893278348467 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10154 + 13568387373782521 + d, d = 0, 2, 6, 8, 12, 18, 20 10154 + 19671199653518329 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn

k	Smallest 160 digit prime k-tuplets	Who	When
1	10159 + 187
2	10159 + 39637 + d, d = 0, 2
3	10159 + 18507307 + d, d = 0, 2, 6 10159 + 15653433 + d, d = 0, 4, 6
4	10159 + 3806539531 + d, d = 0, 2, 6, 8	Norman Luhn
5	10159 + 557304861481 + d, d = 0, 2, 6, 8, 12 10159 + 153865246527 + d, d = 0, 4, 6, 10, 12
6	10159 + 53719571598147 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10159 + 886440913901611 + d, d = 0, 2, 6, 8, 12, 18, 20 10159 + 61929943965320779 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn

k	Smallest 165 digit prime k-tuplets	Who	When
1	10164 + 1527
2	10164 + 169429 + d, d = 0, 2
3	10164 + 25816291 + d, d = 0, 2, 6 10164 + 2117523 + d, d = 0, 4, 6
4	10164 + 5209833421 + d, d = 0, 2, 6, 8	Norman Luhn
5	10164 + 1957164479761 + d, d = 0, 2, 6, 8, 12 10164 + 731809803897 + d, d = 0, 4, 6, 10, 12
6	10164 + 338406621721347 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10164 + 709318370848621 + d, d = 0, 2, 6, 8, 12, 18, 20 10164 + 26019624383630509 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn

k	Smallest 170 digit prime k-tuplets	Who	When
1	10169 + 37
2	10169 + 66907 + d, d = 0, 2
3	10169 + 31373107 + d, d = 0, 2, 6 10169 + 1235613 + d, d = 0, 4, 6
4	10169 + 428260741 + d, d = 0, 2, 6, 8	Norman Luhn
5	10169 + 218433296551 + d, d = 0, 2, 6, 8, 12 10169 + 91293251037 + d, d = 0, 4, 6, 10, 12
6	10169 + 407130595104957 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10169 + 8057404726746901 + d, d = 0, 2, 6, 8, 12, 18, 20 10169 + 40972970726788339 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn

k	Smallest 175 digit prime k-tuplets	Who	When
1	10174 + 691
2	10174 + 47899 + d, d = 0, 2
3	10174 + 50520121 + d, d = 0, 2, 6 10174 + 1984953 + d, d = 0, 4, 6
4	10174 + 6241905631 + d, d = 0, 2, 6, 8	Norman Luhn
5	10174 + 1496725081441 + d, d = 0, 2, 6, 8, 12 10174 + 210563582577 + d, d = 0, 4, 6, 10, 12
6	10174 + 153781066417557 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10174 + 18893998903748041 + d, d = 0, 2, 6, 8, 12, 18, 20 10174 + 27572851061109259 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn

k	Smallest 180 digit prime k-tuplets	Who	When
1	10179 + 979
2	10179 + 50947 + d, d = 0, 2
3	10179 + 22056397 + d, d = 0, 2, 6 10179 + 82179657 + d, d = 0, 4, 6
4	10179 + 1186753111 + d, d = 0, 2, 6, 8	Norman Luhn
5	10179 + 229563254191 + d, d = 0, 2, 6, 8, 12 10179 + 197925798057 + d, d = 0, 4, 6, 10, 12
6	10179 + 436304414105547 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10179 + 79685286082911781 + d, d = 0, 2, 6, 8, 12, 18, 20 10179 + 83979500024983009 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn

k	Smallest 185 digit prime k-tuplets	Who	When
1	10184 + 37
2	10184 + 75871 + d, d = 0, 2
3	10184 + 16955827 + d, d = 0, 2, 6 10184 + 162370917 + d, d = 0, 4, 6
4	10184 + 5757293521 + d, d = 0, 2, 6, 8	Norman Luhn
5	10184 + 121719152701 + d, d = 0, 2, 6, 8, 12 10184 + 116930950557 + d, d = 0, 4, 6, 10, 12
6	10184 + 371313061736157 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10184 + 60658279565071111 + d, d = 0, 2, 6, 8, 12, 18, 20 10184 + 81666081753915379 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn

k	Smallest 190 digit prime k-tuplets	Who	When
1	10189 + 181
2	10189 + 136561 + d, d = 0, 2
3	10189 + 19085827 + d, d = 0, 2, 6 10189 + 1119935653 + d, d = 0, 4, 6
4	10189 + 4392098191 + d, d = 0, 2, 6, 8	Norman Luhn
5	10189 + 331159635931 + d, d = 0, 2, 6, 8, 12 10189 + 2480511937287 + d, d = 0, 4, 6, 10, 12
6	10189 + 2073333430471527 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10189 + 89656154100397981 + d, d = 0, 2, 6, 8, 12, 18, 20 10189 + 5340375801434539 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn

k	Smallest 195 digit prime k-tuplets	Who	When
1	10194 + 951
2	10194 + 236887 + d, d = 0, 2
3	10194 + 56128051 + d, d = 0, 2, 6 10194 + 15449403 + d, d = 0, 4, 6
4	10194 + 14380774051 + d, d = 0, 2, 6, 8	Norman Luhn
5	10194 + 1438783896391 + d, d = 0, 2, 6, 8, 12 10194 + 2967558491397 + d, d = 0, 4, 6, 10, 12
6	10194 + 49883376447027 + d, d = 0, 4, 6, 10, 12, 16	Norman Luhn
7	10194 + 174129925876738981 + d, d = 0, 2, 6, 8, 12, 18, 20 10194 + 54304574787785569 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn

k	Smallest 200 digit prime k-tuplets	Who	When
1	10199 + 153
2	10199 + 62209 + d, d = 0, 2
3	10199 + 5921947 + d, d = 0, 2, 6 10199 + 3299493 + d, d = 0, 4, 6
4	10199 + 21156403891 + d, d = 0, 2, 6, 8	Warut Roonguthai	1995
5	10199 + 3731038824031 + d, d = 0, 2, 6, 8, 12 10199 + 3164151655527 + d, d = 0, 4, 6, 10, 12	Norman Luhn	2018
6	10199 + 452059153787937 + d, d = 0, 4, 6, 10, 12, 16	Gerd Lamprecht	1 Jan 2018
7	10199 + 73899530218782871 + d, d = 0, 2, 6, 8, 12, 18, 20 10199 + 54922679011184419 + d, d = 0, 2, 8, 12, 14, 18, 20	Norman Luhn Gerd Lamprecht	21 Jan 2020 2 Feb 2020
8	10199 + 589262946758538727 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 10199 + 4456720213751803153 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 10199 + 4342765936145019181 + d, d = 0, 2, 6, 8, 12, 18, 20, 26	Norman Luhn	28 Dec 2020