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A327760 Primes in Rob Gahan's arithmetic progression of 27 primes.

%I A327760 #39 May 23 2025 11:40:05
%S A327760 224584605939537911,242720302537486841,260855999135435771,
%T A327760 278991695733384701,297127392331333631,315263088929282561,
%U A327760 333398785527231491,351534482125180421,369670178723129351,387805875321078281,405941571919027211,424077268516976141,442212965114925071
%N A327760 Primes in Rob Gahan's arithmetic progression of 27 primes.
%C A327760 This arithmetic progression of 27 primes (AP27) was discovered by Rob Gahan on 23 September 2019 as part of PrimeGrid's AP27 Search subproject (cf. Goetz, 2019).
%H A327760 Felix Fröhlich, <a href="/A327760/b327760.txt">Table of n, a(n) for n = 1..27</a>
%H A327760 M. Goetz, <a href="https://www.primegrid.com/forum_thread.php?id=7012&amp;nowrap=true#133172">World's First AP27!!!</a>, PrimeGrid forum, Sep 23, 2019.
%H A327760 PrimeGrid, <a href="https://www.primegrid.com/ap.php?fterm=224584605939537911&amp;length=27&amp;difference=81292139">224584605939537911+81292139*23#*n for n=0..26</a>
%H A327760 PrimeGrid, <a href="https://www.primegrid.com/download/AP27-81292139.pdf">Official announcement of the AP27</a>
%H A327760 Stéphane Vinatier and William Reginald Alcorn, <a href="https://doi.org/10.4171/MAG/248">Mathematics as seen by an artist: Inspiring mathematical objects</a>, Eur. Math. Soc. Mag. (2025) Vol. 135, 20-31. See p. 26.
%H A327760 <a href="/index/Pri#primes_AP">Index entries for sequences related to primes in arithmetic progressions</a>
%t A327760 A327760[n_] := 224584605939537911 + (n-1)*18135696597948930;
%t A327760 Array[A327760, 27] (* _Paolo Xausa_, Jan 30 2024 *)
%o A327760 (PARI) vector(27, t, 224584605939537911+81292139*223092870*(t-1))
%Y A327760 Cf. A033188, A033290, A204189, A260751, A261140, A363980, A374949.
%K A327760 nonn,fini,full,easy
%O A327760 1,1
%A A327760 _Felix Fröhlich_, Sep 25 2019