cp's OEIS Frontend

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.

A261152 a(n) = 161004359399459161 + (n-1)*10644900609172830.

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%I A261152 #26 Sep 08 2022 08:46:13
%S A261152 161004359399459161,171649260008631991,182294160617804821,
%T A261152 192939061226977651,203583961836150481,214228862445323311,
%U A261152 224873763054496141,235518663663668971,246163564272841801,256808464882014631,267453365491187461,278098266100360291,288743166709533121
%N A261152 a(n) =  161004359399459161 + (n-1)*10644900609172830.
%C A261152 The terms n = 1..26 are prime. This is the longest and largest sequence of primes in arithmetic progression, a(26)=427126874628779911, known as of August 10, 2015.
%H A261152 Jens Kruse Andersen, <a href="http://primerecords.dk/aprecords.htm#ap24">All known AP24 to AP26</a>.
%H A261152 Wikipedia, <a href="https://en.wikipedia.org/wiki/Primes_in_arithmetic_progression#Largest_known_primes_in_AP">Largest known primes in AP</a>.
%H A261152 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F A261152 a(n) = 161004359399459161 + (n-1)*47715109*A002110(9).
%F A261152 G.f.: x*(161004359399459161 - 150359458790286331*x)/(1 - x)^2. [_Bruno Berselli_, Aug 23 2015]
%e A261152 a(26) = 161004359399459161 + 25*10644900609172830 = 427126874628779911 is prime.
%t A261152 Table[161004359399459161 + (n - 1) 10644900609172830, {n, 1, 20}] (* _Bruno Berselli_, Aug 23 2015 *)
%o A261152 (Magma) [161004359399459161+(n-1)*10644900609172830: n in [1..20]]; // _Bruno Berselli_, Aug 23 2015
%Y A261152 Cf. A002110, A204189, A260751.
%K A261152 nonn,easy
%O A261152 1,1
%A A261152 _Marco RipĂ _, Aug 10 2015