This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A317164 #14 Feb 16 2025 08:33:56
%S A317164 55837783597462913,69696715810679003,83555648023895093,
%T A317164 97414580237111183,111273512450327273,125132444663543363,
%U A317164 138991376876759453,152850309089975543,166709241303191633,180568173516407723,194427105729623813,208286037942839903,222144970156055993
%N A317164 a(n) = 55837783597462913 + (n-1)*13858932213216090.
%C A317164 The terms for n = 1..26 are prime. As of Jul 23 2018, this is one of the longest known sequences of primes in arithmetic progression.
%H A317164 Jens Kruse Andersen, <a href="http://primerecords.dk/aprecords.htm#ap24">All known AP24 to AP26</a>.
%H A317164 B. Green and T. Tao, <a href="http://arxiv.org/abs/math.NT/0404188">The primes contain arbitrarily long arithmetic progressions</a>, Annals of Math. 167 (2008), 481-547.
%H A317164 PrimeGrid, <a href="http://www.primegrid.com/download/AP26.pdf">AP26 Search</a>.
%H A317164 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimeArithmeticProgression.html">Prime Arithmetic Progression</a>.
%H A317164 Wikipedia, <a href="http://en.wikipedia.org/wiki/Primes_in_arithmetic_progression">Primes in arithmetic progression</a>.
%F A317164 a(n) = 455837783597462913 + a(n-1)*62121807*23#, where 23# := 2*3*5*7*11*13*17*19*23 = 223092870.
%e A317164 a(26) = 55837783597462913 + 25*62121807*223092870 = 402311088927865163 is prime.
%p A317164 seq(55837783597462913+(n-1)*13858932213216090,n=1..15); # _Muniru A Asiru_, Jul 24 2018
%t A317164 Table[55837783597462913 + (n - 1) 13858932213216090, {n, 1, 25}]
%o A317164 (GAP) List([1..25],n->55837783597462913+(n-1)*13858932213216090); # _Muniru A Asiru_, Jul 24 2018
%Y A317164 Cf. A002110, A204189, A260751, A261140, A317163.
%K A317164 nonn,easy
%O A317164 1,1
%A A317164 _Marco Ripà_, Jul 23 2018