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A079395 a(n) = prime(n)^11. 7
2048, 177147, 48828125, 1977326743, 285311670611, 1792160394037, 34271896307633, 116490258898219, 952809757913927, 12200509765705829, 25408476896404831, 177917621779460413, 550329031716248441 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Solutions of the equation n'=11*n^(10/11), where n' is the arithmetic derivative of n. - Paolo P. Lava, Oct 31 2012

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

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Last modified February 3 11:32 EST 2023. Contains 360034 sequences. (Running on oeis4.)