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A079395
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a(n) = prime(n)^11.
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7
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2048, 177147, 48828125, 1977326743, 285311670611, 1792160394037, 34271896307633, 116490258898219, 952809757913927, 12200509765705829, 25408476896404831, 177917621779460413, 550329031716248441
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OFFSET
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1,1
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COMMENTS
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Solutions of the equation n'=11*n^(10/11), where n' is the arithmetic derivative of n. - Paolo P. Lava, Oct 31 2012
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..1000
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FORMULA
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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)
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EXAMPLE
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2^11 = 2048.
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MAPLE
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A079395:=n->ithprime(n)^11: seq(A079395(n), n=1..30); # Wesley Ivan Hurt, Feb 07 2017
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MATHEMATICA
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Array[Prime[ # ]^11 &, 30] (* Vladimir Joseph Stephan Orlovsky, May 01 2008 *)
Prime[Range[20]]^11 (* Vincenzo Librandi, Mar 27 2014 *)
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PROG
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(PARI) forprime (p=2, 100, print1(p^11", "))
(Magma) [p^11: p in PrimesUpTo(300)]; // Vincenzo Librandi, Mar 27 2014
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CROSSREFS
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Subsequence of A008455.
Cf. A013669.
Sequence in context: A321835 A017686 A008455 * A096963 A234740 A134684
Adjacent sequences: A079392 A079393 A079394 * A079396 A079397 A079398
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KEYWORD
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nonn,easy
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AUTHOR
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Jon Perry, Jan 06 2003
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STATUS
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approved
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