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%I #55 Sep 08 2022 08:46:13
%S 6171054912832631,6252792570914711,6334530228996791,6416267887078871,
%T 6498005545160951,6579743203243031,6661480861325111,6743218519407191,
%U 6824956177489271,6906693835571351,6988431493653431,7070169151735511,7151906809817591,7233644467899671
%N 25 primes in arithmetic progression: a(n) = 6171054912832631 + (n-1)*81737658082080 for n = 1, 2, ..., 25.
%C This was the longest known sequence of primes in arithmetic progression from 17 May 2008 to 12 April 2010.
%H Marco Ripà, <a href="/A260751/b260751.txt">Table of n, a(n) for n = 1..25</a>
%H Jens Kruse Andersen, <a href="http://primerecords.dk/aprecords.htm#ap24">All known AP24 to AP26</a>.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Primes_in_arithmetic_progression#Largest_known_primes_in_AP">Largest known primes in AP</a>.
%F a(n) = 6171054912832631 + (n-1)*366384*A002110(9) with 1 <= n <= 25.
%e a(25) = 6171054912832631 + 24*81737658082080 = 8132758706802551 is prime.
%t Table[6171054912832631 + (n - 1) 81737658082080, {n, 1, 25}] (* _Bruno Berselli_, Aug 06 2015 *)
%o (Sage) [6171054912832631+(n-1)*81737658082080 for n in (1..25)] # _Bruno Berselli_, Aug 06 2015
%o (Magma) [6171054912832631+(n-1)*81737658082080: n in [1..25]]; // _Bruno Berselli_, Aug 06 2015
%Y Cf. A002110, A204189.
%K nonn,fini,full
%O 1,1
%A _Marco Ripà_, Aug 05 2015
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