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 A317914 #6 Feb 16 2025 08:33:56
%S A317914 142099325379199423,145791319402366873,149483313425534323,
%T A317914 153175307448701773,156867301471869223,160559295495036673,
%U A317914 164251289518204123,167943283541371573,171635277564539023,175327271587706473,179019265610873923
%N A317914 a(n) = 142099325379199423 + (n-1)*3691994023167450.
%C A317914 The terms for n = 1..26 are prime. As of Aug 10 2018, this is one of the longest known sequences of primes in arithmetic progression.
%H A317914 Jens Kruse Andersen, <a href="http://primerecords.dk/aprecords.htm#ap24">All known AP24 to AP26</a>.
%H A317914 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 A317914 PrimeGrid, <a href="http://www.primegrid.com/download/AP26.pdf">AP26 Search</a>.
%H A317914 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimeArithmeticProgression.html">Prime Arithmetic Progression</a>.
%H A317914 Wikipedia, <a href="http://en.wikipedia.org/wiki/Primes_in_arithmetic_progression">Primes in arithmetic progression</a>.
%F A317914 a(n) = 142099325379199423 + a(n-1)*16549135*23#, where 23# := 2*3*5*7*11*13*17*19*23 = 223092870.
%e A317914 a(26) = 142099325379199423 + 25*16549135*223092870 = 234399175958385673 is prime.
%p A317914 seq(142099325379199423+(n-1)*3691994023167450,n=1..26);
%t A317914 Table[142099325379199423 + (n - 1) 3691994023167450, {n, 1, 26}]
%o A317914 (GAP) List([1..26],n->142099325379199423+(n-1)*3691994023167450);
%Y A317914 Cf. A002110, A204189, A260751, A261140, A317163, A317164.
%K A317914 easy,nonn
%O A317914 1,1
%A A317914 _Marco Ripà_, Aug 10 2018