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 A034785 a(n) = 2^(n-th prime). 37
 4, 8, 32, 128, 2048, 8192, 131072, 524288, 8388608, 536870912, 2147483648, 137438953472, 2199023255552, 8796093022208, 140737488355328, 9007199254740992, 576460752303423488, 2305843009213693952 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS These are the "outputs" in Conway's PRIMEGAME (see A007542). - Alonso del Arte, Jan 03 2011 Multiplicative encoding of the n-th prime. - Daniel Forgues, Feb 26 2017 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..200 Index to divisibility sequences. FORMULA From Amiram Eldar, Aug 11 2020: (Start) a(n) = 2^A000040(n). Sum_{n>=1} 1/a(n) = A051006. (End) From Amiram Eldar, Nov 22 2022: (Start) Product_{n>=1} (1 + 1/a(n)) = A184083. Product_{n>=1} (1 - 1/a(n)) = A184082. (End) EXAMPLE a(4) = 128 because the fourth prime number is 7 and 2^7 = 128. MATHEMATICA 2^Prime@Range@40 (* Vladimir Joseph Stephan Orlovsky, Apr 11 2011 *) PROG (Haskell) a034785 = (2 ^) . a000040 -- Reinhard Zumkeller, Feb 07 2015, Jan 24 2012 (PARI) a(n)=1<

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Last modified May 19 14:45 EDT 2024. Contains 372698 sequences. (Running on oeis4.)