A079395 a(n) = prime(n)^11.

2048, 177147, 48828125, 1977326743, 285311670611, 1792160394037, 34271896307633, 116490258898219, 952809757913927, 12200509765705829, 25408476896404831, 177917621779460413, 550329031716248441

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Formula

From Amiram Eldar, Jan 24 2021: (Start)

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

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

Example

2^11 = 2048.

Maple

A079395:=n->ithprime(n)^11: seq(A079395(n), n=1..30); # Wesley Ivan Hurt, Feb 07 2017

Mathematica

Array[Prime[ # ]^11 &, 30] (* Vladimir Joseph Stephan Orlovsky, May 01 2008 *)
Prime[Range[20]]^11 (* Vincenzo Librandi, Mar 27 2014 *)

Prog

(PARI) forprime (p=2, 100, print1(p^11", "))
(Magma) [p^11: p in PrimesUpTo(300)]; // Vincenzo Librandi, Mar 27 2014

Crossrefs

Subsequence of A008455.

Cf. A013669.

Sequence in context: A321835 A017686 A008455 * A096963 A234740 A134684

Adjacent sequences: A079392 A079393 A079394 * A079396 A079397 A079398

Keyword

nonn,easy

Author

Jon Perry, Jan 06 2003

Status

approved