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a(n) = prime(n)^11.
9

%I #28 Feb 04 2024 01:14:35

%S 2048,177147,48828125,1977326743,285311670611,1792160394037,

%T 34271896307633,116490258898219,952809757913927,12200509765705829,

%U 25408476896404831,177917621779460413,550329031716248441

%N a(n) = prime(n)^11.

%H Vincenzo Librandi, <a href="/A079395/b079395.txt">Table of n, a(n) for n = 1..1000</a>

%F From _Amiram Eldar_, Jan 24 2021: (Start)

%F Product_{n>=1} (1 + 1/a(n)) = zeta(11)/zeta(22).

%F Product_{n>=1} (1 - 1/a(n)) = 1/zeta(11) = 1/A013669. (End)

%e 2^11 = 2048.

%p A079395:=n->ithprime(n)^11: seq(A079395(n), n=1..30); # _Wesley Ivan Hurt_, Feb 07 2017

%t Array[Prime[ # ]^11 &, 30] (* _Vladimir Joseph Stephan Orlovsky_, May 01 2008 *)

%t Prime[Range[20]]^11 (* _Vincenzo Librandi_, Mar 27 2014 *)

%o (PARI) forprime (p=2,100,print1(p^11","))

%o (Magma) [p^11: p in PrimesUpTo(300)]; // _Vincenzo Librandi_, Mar 27 2014

%Y Subsequence of A008455.

%Y Cf. A013669.

%K nonn,easy

%O 1,1

%A _Jon Perry_, Jan 06 2003