| Record history for smallest AP-k with minimal difference | ||||||
| k | Primes | n's | Digits | When | Discoverer | |
|---|---|---|---|---|---|---|
| 18 | 1027994118833642281 + 17# • n | 0..17 | 19 | 24 Apr 2005 | Gennady Gusev & Jens Kruse Andersen | |
| 18 | 24604783199 + 581 • 17# • n | 0..17 | 11 | 2002 | Gennady Gusev | |
| 19 | 1424014323012131633 + 19# • n | 0..18 | 19 | 2 Dec 2008 | Jaroslaw Wroblewski | |
| 19 | 20736372344841161 + 5 • 19# • n | 0..18 | 17 | 4 Jan 2007 | Jaroslaw Wroblewski | |
| 19 | 63734273908111 + 11 • 19# • n | 0..18 | 14 | 3 Jan 2007 | Jaroslaw Wroblewski | |
| 19 | 2773814832407 + 155 • 19# • n | 0..18 | 13 | 1992 | Paul Pritchard | |
| 20 | 1424014323012131633 + 19# • n | 0..19 | 19 | 2 Dec 2008 | Jaroslaw Wroblewski | |
| 20 | 20736372344841161 + 5 • 19# • n | 0..19 | 17 | 4 Feb 2007 | Jaroslaw Wroblewski | |
| 20 | 2773814832407 + 155 • 19# • n | 0..19 | 13 | 1992 | Paul Pritchard | |
| 21 | 28112131522731197609 + 19# • n | 0..20 | 20 | 3 Dec 2008 | Jaroslaw Wroblewski | |
| 21 | 809504830479349 + 208 • 19# • n | 0..20 | 15 | 31 Dec 2007 | Pawel Nowak & Jaroslaw Wroblewski | |
| 21 | 5749146449311 + 2681 • 19# • n | 0..20 | 13 | 1992 | Paul Pritchard | |
| 22 | 46088665875716819 + 2141 • 19# • n | 0..21 | 17 | 07 May 2025 | Dmitry Petukhov | |
| 22 | 1294130773627333 + 2615 • 19# • n | 0..21 | 16 | 26 Apr 2025 | Dmitry Petukhov | |
| 22 | 166537312120867 + 9959 • 19# • n | 0..21 | 15 | 8 May 2006 | Markus Frind | |
| 22 | 497003857949969 + 179998 • 19# • n | 0..21 | 15 | 24 Jul 2004 | Markus Frind | |
| 23 | 1151110293532377989 + 3656 • 23# • n | 0..22 | 19 | 15 Jun 2024 | Ian Johns, PrimeGrid, AP26 | |
| 23 | 403185216600637 + 9523 • 23# • n | 0..22 | 15 | 1 Apr 2006 | Markus Frind | |
| 23 | 100308707032367 + 156722 • 23# • n | 0..22 | 15 | 26 Feb 2006 | Markus Frind | |
| 23 | 56211383760397 + 199678 • 23# • n | 0..22 | 16 | 24 Jul 2004 | Markus Frind, Paul Jobling, Paul Underwood | |
| 24 | 158209144596158501 + 65073 • 23# • n | 0..23 | 18 | 24 Jun 2014 | Bryan Little, AP26 | |
| 24 | 515486946529943 + 136831 • 23# • n | 0..23 | 16 | 18 Apr 2008 | Raanan Chermoni & Jaroslaw Wroblewski | |
| 24 | 468395662504823 + 205619 • 23# • n | 0..23 | 16 | 18 Jan 2007 | Jaroslaw Wroblewski | |
| 25 | 6171054912832631 + 366384 • 23# • n | 0..24 | 16 | 17 May 2008 | Raanan Chermoni & Jaroslaw Wroblewski | |
| 26 | 3486107472997423 + 1666981 • 23# • n | 0..25 | 17 | 26 Mar 2012 | James Fry | |
| 26 | 43142746595714191 + 23681770 • 23# • n | 0..25 | 18 | 12 Apr 2010 | Benoãt Perichon, PrimeGrid, AP26 | |
| 27 | 224584605939537911 + 81292139 • 23# • n | 0..26 | 18 | 23 Sep 2019 | Rob Gahan, PrimeGrid, AP26 | |