%I #9 Aug 06 2018 05:32:55
%S 149836681069944461,151560138187626761,153283595305309061,
%T 155007052422991361,156730509540673661,158453966658355961,
%U 160177423776038261,161900880893720561,163624338011402861,165347795129085161,167071252246767461,168794709364449761,170518166482132061
%N a(n) = 149836681069944461 + (n-1)*1723457117682300.
%C The terms for n = 1..26 are prime. As of Jul 25 2018, this is one of the longest known sequences of primes in arithmetic progression.
%H Jens Kruse Andersen, <a href="http://primerecords.dk/aprecords.htm#ap24">All known AP24 to AP26</a>.
%H 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 PrimeGrid, <a href="http://www.primegrid.com/download/AP26.pdf">AP26 Search</a>.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PrimeArithmeticProgression.html">Prime Arithmetic Progression</a>.
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Primes_in_arithmetic_progression">Primes in arithmetic progression</a>.
%e a(26) = 149836681069944461 + 25*7725290*223092870 = 192923109012001961 is prime.
%p seq(149836681069944461+(n-1)*1723457117682300,n=1..25);
%t Table[149836681069944461 + (n - 1) 1723457117682300, {n, 1, 25}]
%o (GAP) List([1..25], n->149836681069944461+(n-1)*1723457117682300);
%Y Cf. A002120, A204189, A260751, A261140, A317163, A317164.
%K nonn,easy
%O 1,1
%A _Marco RipĂ _, Jul 25 2018
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