k | Smallest 100 digit prime k-tuplets | Who | When | Certificates |
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 | 15 Sep 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 06 May 2020 |
k | Smallest 200 digit prime k-tuplets | Who | When | Certificates |
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 | 15 Sep 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 | 01 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 02 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 |
k | Smallest 300 digit prime k-tuplets | Who | When | Certificates |
1 | 10299 + 669 | - | - | |
2 | 10299 + 205477 + d, d = 0, 2 | - | - | |
3 |
10299 + 14790787 + d, d = 0, 2, 6 10299 + 119289723 + d, d = 0, 4, 6 |
- | - | |
4 | 10299 + 140159459341 + d, d = 0, 2, 6, 8 | Warut Roonguthai | 15 Sep 1995 | |
5 |
10299 + 29499802857901 + d, d = 0, 2, 6, 8, 12 10299 + 6948302379747 + d, d = 0, 4, 6, 10, 12 |
Norman Luhn | 2018 | |
6 | 10299 + 4806219413658657 + d, d = 0, 4, 6, 10, 12, 16 | Norman Luhn | 03 Dec 2018 | |
7 |
10299 + 1778767958673650041 + d, d = 0, 2, 6, 8, 12, 18, 20 10299 + 811955928765210319 + d, d = 0, 2, 8, 12, 14, 18, 20 |
Norman Luhn | 01 Oct 2020 25 Oct 2020 |
k | Smallest 400 digit prime k-tuplets | Who | When | Certificates |
1 | 10399 + 1311 | - | - | |
2 | 10399 + 253297 + d, d = 0, 2 | - | - | |
3 |
10399 + 229912897 + d, d = 0, 2, 6 10399 + 102992967 + d, d = 0, 4, 6 |
- | - | |
4 | 10399 + 34993836001 + d, d = 0, 2, 6, 8 | Warut Roonguthai | 15 Sep 1995 | |
5 |
10399 + 53666022558811 + d, d = 0, 2, 6, 8, 12 10399 + 101170544755377 + d, d = 0, 4, 6, 10, 12 |
Norman Luhn | Jun 2020 | |
6 | 10399 + 33756090918084087 + d, d = 0, 4, 6, 10, 12, 16 | Norman Luhn | Apr 2019 |
k | Smallest 500 digit prime k-tuplets | Who | When | Certificates |
1 | 10499 + 153 | - | - | |
2 | 10499 + 3943441 + d, d = 0, 2 | - | - | |
3 |
10499 + 467762947 + d, d = 0, 2, 6 10499 + 818713227 + d, d = 0, 4, 6 |
- | - | |
4 | 10499 + 883750143961 + d, d = 0, 2, 6, 8 | Warut Roonguthai | 1996 | |
5 |
10499 + 58195471283341 + d, d = 0, 2, 6, 8, 12 10499 + 69672492141807 + d, d = 0, 4, 6, 10, 12 |
Norman Luhn | 11/12 Jun 2020 | |
6 | 10499 + 464261549124325347 + d, d = 0, 4, 6, 10, 12, 16 | Norman Luhn | 1 Oct 2020 |
k | Smallest 600 digit prime k-tuplets | Who | When | Certificates |
1 | 10599 + 2161 | - | - | |
2 | 10599 + 302761 + d, d = 0, 2 | - | - | |
3 |
10599 + 1617893281 + d, d = 0, 2, 6 10599 + 1200032247 + d, d = 0, 4, 6 |
- | - | |
4 | 10599 + 1394283756151 + d, d = 0, 2, 6, 8 | Warut Roonguthai | 15 Sep 1997 | |
5 |
10599 + 319491304676641 + d, d = 0, 2, 6, 8, 12 10599 + 12754947401547 + d, d = 0, 4, 6, 10, 12 |
Norman Luhn | 13 Jun 2020 | |
6 | 10599 + 314360191056418137 + d, d = 0, 4, 6, 10, 12, 16 | Norman Luhn | 13 Jul 2021 |
k | Smallest 700 digit prime k-tuplets | Who | When | Certificates |
1 | 10699 + 1279 | - | - | |
2 | 10699 + 1280017 + d, d = 0, 2 | - | - | |
3 |
10699 + 563094277 + d, d = 0, 2, 6 10699 + 3206800863 + d, d = 0, 4, 6 |
- | - | |
4 | 10699 + 547634621251 + d, d = 0, 2, 6, 8 | Warut Roonguthai | 26 Apr 1998 | |
5 |
10699 + 2254633393747621 + d, d = 0, 2, 6, 8, 12 10699 + 209264286017367 + d, d = 0, 4, 6, 10, 12 |
Norman Luhn | 22 Jun 2020 |
k | Smallest 800 digit prime k-tuplets | Who | When | Certificates |
1 | 10799 + 2409 | - | - | |
2 | 10799 + 264907 + d, d = 0, 2 | - | - | |
3 |
10799 + 865319917 + d, d = 0, 2, 6 10799 + 59447733 + d, d = 0, 4, 6 |
- | - | |
4 | 10799 + 3125423484751 + d, d = 0, 2, 6, 8 | - | Aug 2017 | |
5 |
10799 + 2117758391972791 + d, d = 0, 2, 6, 8, 12 10799 + 1299258655252617 + d, d = 0, 4, 6, 10, 12 |
Norman Luhn | 28 Jun 2020 01 Jul 2020 |
k | Smallest 900 digit prime k-tuplets | Who | When | Certificates |
1 | 10899 + 201 | - | - | |
2 | 10899 + 946009 + d, d = 0, 2 | - | - | |
3 |
10899 + 3544913887 + d, d = 0, 2, 6 10899 + 3460243053 + d, d = 0, 4, 6 |
- | - | |
4 | 10899 + 430772369311 + d, d = 0, 2, 6, 8 | - | Aug 2017 | |
5 |
10899 + 2365663735968811 + d, d = 0, 2, 6, 8, 12 10899 + 1484244113736867 + d, d = 0, 4, 6, 10, 12 |
Norman Luhn | 6 Jul 2020 13 Jul 2020 |
k | Smallest 1,000 digit prime k-tuplets | Who | When | Certificates |
1 | 10999 + 7 | - | - | |
2 | 10999 + 1975081 + d, d = 0, 2 | Daniel Heuer | 11 Oct 1999 | |
3 |
10999 + 5537073001 + d, d = 0, 2, 6 10999 + 1598241813 + d, d = 0, 4, 6 |
Norman Luhn | - | |
4 | 10999 + 4114571944591 + d, d = 0, 2, 6, 8 | Norman Luhn | 16 Oct 2004 | |
5 |
10999 + 3554007760224751 + d, d = 0, 2, 6, 8, 12 10999 + 3818999670116007 + d, d = 0, 4, 6, 10, 12 |
Norman Luhn | 01 Jun 2014 27 Dec 2019 |
k | Smallest 1,100 digit prime k-tuplets | Who | When | Certificates |
1 | 101099 + 73 | - | - | |
2 | 101099 + 3140107 + d, d = 0, 2 | - | 2020 | |
3 |
101099 + 9688002421 + d, d = 0, 2, 6 101099 + 6656645493 + d, d = 0, 4, 6 |
- | - | |
4 | 101099 + 32016108066811 + d, d = 0, 2, 6, 8 | Gerd Lamprecht | 2017 | |
5 |
101099 + 26317044823878361 + d, d = 0, 2, 6, 8, 12 101099 + 15720821612555937 + d, d = 0, 4, 6, 10, 12 |
Norman Luhn | 27 Jun 2022 25 Jul 2022 |
k | Smallest 1,200 digit prime k-tuplets | Who | When | Certificates |
1 | 101199 + 3937 | - | - | |
2 | 101199 + 4316299 + d, d = 0, 2 | - | 2020 | |
3 |
101199 + 4004123317 + d, d = 0, 2, 6 101199 + 13010732343 + d, d = 0, 4, 6 |
Norman Luhn | 2020 | |
4 | 101199 + 3371029327411 + d, d = 0, 2, 6, 8 | Steffen Polster | 2017 | |
5 |
101199 + 20483870459152351 + d, d = 0, 2, 6, 8, 12 101199 + 7033048489975137 + d, d = 0, 4, 6, 10, 12 |
Norman Luhn | 03 Mar 2023 17 Mar 2023 |
k | Smallest 1,300 digit prime k-tuplets | Who | When | Certificates |
1 | 101299 + 3289 | - | - | |
2 | 101299 + 538837 + d, d = 0, 2 | - | 2020 | |
3 |
101299 + 10975301047 + d, d = 0, 2, 6 101299 + 22101529023 + d, d = 0, 4, 6 |
Norman Luhn | 2020 | |
4 | 101299 + 280780601461 + d, d = 0, 2, 6, 8 | Steffen Polster | 2017 |
k | Smallest 1,400 digit prime k-tuplets | Who | When | Certificates |
1 | 101399 + 3687 | - | - | |
2 | 101399 + 10871077 + d, d = 0, 2 | - | 2020 | |
3 |
101399 + 22502870977 + d, d = 0, 2, 6 101399 + 46234904577 + d, d = 0, 4, 6 |
Norman Luhn | 2020 | |
4 | 101399 + 69670344083131 + d, d = 0, 2, 6, 8 | Norman Luhn | 2020 |
k | Smallest 1,500 digit prime k-tuplets | Who | When | Certificates |
1 | 101499 + 2001 | - | - | |
2 | 101499 + 1002259 + d, d = 0, 2 | - | 2020 | |
3 |
101499 + 3251852371 + d, d = 0, 2, 6 101499 + 14264584383 + d, d = 0, 4, 6 |
Norman Luhn | 2020 | |
4 | 101499 + 11263823690221 + d, d = 0, 2, 6, 8 | Horst Hahnewinkel | 2018 |
k | Smallest 1,600 digit prime k-tuplets | Who | When | Certificates |
1 | 101599 + 553 | - | - | |
2 | 101599 + 9773671 + d, d = 0, 2 | - | 2020 | |
3 |
101599 + 15604273447 + d, d = 0, 2, 6 101599 + 17352556737 + d, d = 0, 4, 6 |
Norman Luhn | 2020 | |
4 | 101599 + 35547764907541 + d, d = 0, 2, 6, 8 | Norman Luhn | 2020 |
k | Smallest 1,700 digit prime k-tuplets | Who | When | Certificates |
1 | 101699 + 511 | - | - | |
2 | 101699 + 663727 + d, d = 0, 2 | - | 2020 | |
3 |
101699 + 77697495757 + d, d = 0, 2, 6 101699 + 61779337833 + d, d = 0, 4, 6 |
Norman Luhn | 2020 | |
4 | 101699 + 91659238633591 + d, d = 0, 2, 6, 8 | Norman Luhn | 2020 |
k | Smallest 1,800 digit prime k-tuplets | Who | When | Certificates |
1 | 101799 + 1953 | - | - | |
2 | 101799 + 294109 + d, d = 0, 2 | - | 2020 | |
3 |
101799 + 2426988187 + d, d = 0, 2, 6 101799 + 54242463087 + d, d = 0, 4, 6 |
Norman Luhn | 2020 | |
4 | 101799 + 63854821848361 + d, d = 0, 2, 6, 8 | Norman Luhn | 2020 |
k | Smallest 1,900 digit prime k-tuplets | Who | When | Certificates |
1 | 101899 + 2863 | - | - | |
2 | 101899 + 19278529 + d, d = 0, 2 | - | 2020 | |
3 |
101899 + 27851595391 + d, d = 0, 2, 6 101899 + 51739370637 + d, d = 0, 4, 6 |
Norman Luhn | 2020 | |
4 | 101899 + 4297896231241 + d, d = 0, 2, 6, 8 | Norman Luhn | 7 Aug 2020 |
k | Smallest 2,000 digit prime k-tuplets | Who | When | Certificates |
1 | 101999 + 7321 | Peter Kaiser | 25 Jun 2013 | |
2 | 101999 + 89316289 + d, d = 0, 2 | Norman Luhn | 22 May 2021 | |
3 |
101999 + 27107552191 + d, d = 0, 2, 6 101999 + 38866053453 + d, d = 0, 4, 6 |
Norman Luhn | 22 May 2021 | |
4 | 101999 + 205076414983951 + d, d = 0, 2, 6, 8 | Gerd Lamprecht | 24 Oct 2017 |