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 + 214119# • n 0..21 17 07 May 2025 Dmitry Petukhov
22 1294130773627333 + 261519# • n 0..21 16 26 Apr 2025 Dmitry Petukhov
22 166537312120867 + 995919# • 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