k | Smallest 10,000 digit prime k-tuplets | Who | When | Certificates |
1 | 109999 + 33603 | Jens Franke, Thorsten Kleinjung & Tobias Wirth | 19 Aug 2003 | |
2 | 109999 + 2421018649 + d, d = 0, 2 | Dirk Augustin ( PRP ) Norman Luhn ( proven primes via Primo ) |
Dec 2009 03 Jun 2021 |
|
3 |
109999 + 274366375357 + d, d = 0, 2, 6 109999 + 194011932117 + d, d = 0, 4, 6 |
Norman Luhn ( PRP ) Oliver Kruse ( proven primes via CM ) |
15 / 22 Jun 2023 30 Jun 2023 |
k | Smallest 20,000 digit prime k-tuplets | Who | When | Certificates |
1 | 1019999 + 110949 | Dirk Augustin ( PRP ) Paul Underwood ( proven prime via CM ) |
Jul 2002 19 Jun 2022 |
|
2 | 1019999 + 1514722609 + d, d = 0, 2 | Norman Luhn ( PRP ) Paul Underwood ( proven primes via CM ) |
05 Jun 2021 25 Jun 2022 |
k | Smallest 30,000 digit prime k-tuplets | Who | When | Certificates |
1 | 1029999 + 89821 | Patrick De Geest ( PRP ) | 09 Nov 2004 | |
2 | 1029999 + 612572491 + d, d = 0, 2 | Norman Luhn ( PRP ) | 29 Jun 2023 |
k | Smallest 40,000 digit prime k-tuplets | Who | When | Certificates |
1 | 1039999 + 7161 | Patrick De Geest ( PRP ) | 01 Dec 2004 |
k | Smallest 50,000 digit prime k-tuplets | Who | When | Certificates |
1 | 1049999 + 91701 | Patrick De Geest ( PRP ) | 01 May 2005 |
k | Smallest 60,000 digit prime k-tuplets | Who | When | Certificates |
1 | 1059999 + 65197 | Patrick De Geest ( PRP ) | 30 May 2005 |
k | Smallest 70,000 digit prime k-tuplets | Who | When | Certificates |
1 | 1069999 + 134857 | Patrick De Geest ( PRP ) | 22 Feb 2007 |
k | Smallest 80,000 digit prime k-tuplets | Who | When | Certificates |
1 | 1079999 + 22399 | Patrick De Geest ( PRP ) | 07 Sep 2009 |
k | Smallest 90,000 digit prime k-tuplets | Who | When | Certificates |
1 | 1089999 + 82939 | Patrick De Geest ( PRP ) | 29 Oct 2009 |
k | Smallest 100,000 digit prime k-tuplets | Who | When | Certificates |
1 | 1099999 + 309403 | Daniel Heuer ( PRP ) | Jan 2004 |
k | Smallest 1,000,000 digit prime k-tuplets | Who | When | Certificates |
1 | 10999999 + 593499 | Peter Kaiser, Kenneth Pedersen, Patrick De Geest ( PRP ) | 24 Dec 2012 |