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Primes in Rob Gahan's arithmetic progression of 27 primes.
7

%I #36 Jul 30 2024 04:28:44

%S 224584605939537911,242720302537486841,260855999135435771,

%T 278991695733384701,297127392331333631,315263088929282561,

%U 333398785527231491,351534482125180421,369670178723129351,387805875321078281,405941571919027211,424077268516976141,442212965114925071

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

%C 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 Felix Fröhlich, <a href="/A327760/b327760.txt">Table of n, a(n) for n = 1..27</a>

%H 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 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 PrimeGrid, <a href="https://www.primegrid.com/download/AP27-81292139.pdf">Official announcement of the AP27</a>

%H <a href="/index/Pri#primes_AP">Index entries for sequences related to primes in arithmetic progressions</a>

%t A327760[n_] := 224584605939537911 + (n-1)*18135696597948930;

%t Array[A327760, 27] (* _Paolo Xausa_, Jan 30 2024 *)

%o (PARI) vector(27, t, 224584605939537911+81292139*223092870*(t-1))

%Y Cf. A033188, A033290, A204189, A260751, A261140, A363980, A374949.

%K nonn,fini,full,easy

%O 1,1

%A _Felix Fröhlich_, Sep 25 2019