Record history for smallest AP-k with minimal start
k	Primes	n's	Digits	When	Discoverer
16	17 + 378230305161714 • 13# • n	0..15	21	3 Feb 2005	Phil Carmody
16	17 + 11387819007325752 • 13# • n	0..15	22	2001	Phil Carmody
17	17 + 11387819007325752 • 13# • n	0..16	22	2001	Phil Carmody
18	19 + 251988718036418903 • 17# • n	0..17	25	31 Oct 2012	Gennady Gusev
18	47 + 19622534420177523 • 17# • n	0..17	24	9 Jan 2007	Gennady Gusev
18	602521111 + 96575729250 • n	0..17	13	8 Dec 2005	Gennady Gusev
18	1052724247 + 6549 • 17# • n	0..17	11	2002	Gennady Gusev
19	19 + 4244193265542951705 • 17# • n	0..18	26	4 Apr 2013	Wojciech Izykowski
19	19 + 13234551541698967679 • 17# • n	0..18	27	26 Feb 2013	Wojciech Izykowski
19	275525353 + 407133393 • 19# • n	0..18	17	26 Jan 2009	Mariusz Szafranski, Jaroslaw Wroblewski
19	275955343 + 368042893 • 19# • n	0..18	17	21 Jan 2009	Mariusz Szafranski, Jaroslaw Wroblewski
19	1358498353 + 16584560 • 19# • n	0..18	16	8 Jan 2009	Machloj, Jaroslaw Wroblewski
19	2027663243 + 1002606 • 19# • n	0..18	15	23 May 2008	Jaroslaw Wroblewski
19	8297644387 + 431 • 19# • n	0..18	11	1984	Paul Pritchard
20	23 + 134181089232118748020 • 19# • n	0..19	29	1 Dec 2017	Wojciech Izykowski
20	566547019 + 846627559 • 19# • n	0..19	18	19 Feb 2009	Aleksander Parkitny, Jaroslaw Wroblewski
20	24670154221 + 370766 • 19# • n	0..19	14	1 Feb 2009	Sebastian Jaworowicz, Jaroslaw Wroblewski
20	68469367129 + 4926 • 19# • n	0..19	12	1992	Paul Pritchard
21	124701216737 + 9986827 • 19# • n	0..20	16	22 Feb 2009	Ryszard Walczak, Jaroslaw Wroblewski
21	142072321123 + 146372 • 19# • n	0..20	14	1990	Paul Pritchard
22	1322554958713 + 2861998 • 23# • n	0..21	17	29 May 2009	Jacek Kotnowski, PrimeGrid, AP26
22	1365385579783 + 405927 • 23# • n	0..21	16	11 Jan 2007	Jaroslaw Wroblewski
22	11410337850553 + 475180 • 19# • n	0..21	15	17 Mar 1993	Paul Pritchard et al.
23	18381846925451 + 202602444 • 23# • n	0..22	19	14 Nov 2020	Grebuloner, PrimeGrid AP26
23	20389023122473 + 5785546 • 23# • n	0..22	17	29 May 2009	Eric Markle, PrimeGrid, AP26
23	43760869165417 + 2339805 • 23# • n	0..22	17	25 Feb 2008	Raanan Chermoni & Jaroslaw Wroblewski
23	56211383760397 + 199678 • 23# • n	0..22	16	24 Jul 2004	Markus Frind, Paul Jobling, Paul Underwood
24	18381846925451 + 202602444 • 23# • n	0..23	19	14 Nov 2020	James Krauss, PrimeGrid AP26
24	39421708111691 + 9740894 • 23# • n	0..23	17	9 Jul 2009	Mark Codding, PrimeGrid, AP26
24	167806194923077 + 4935146 • 23# • n	0..23	17	5 May 2009	Andreas Kobara, PrimeGrid, AP26
24	401516288036293 + 608239 • 23# • n	0..23	16	21 Apr 2008	Raanan Chermoni & Jaroslaw Wroblewski
24	468395662504823 + 205619 • 23# • n	0..23	16	18 Jan 2007	Jaroslaw Wroblewski
25	2648861307187097 + 94293751 • 23# • n	0..24	18	29 Dec 2018	Tom Greer, PrimeGrid, AP26
25	2960886048458003 + 2346233 • 23# • n	0..24	17	8 Apr 2009	BOINC@Poland , PrimeGrid, AP26
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	19 Sep 2019	Rob Gahan, PrimeGrid, AP26