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A051439 a(n) = prime(2^n + 1). 10

%I #24 Mar 23 2024 11:42:56

%S 3,5,11,23,59,137,313,727,1621,3673,8167,17881,38891,84047,180511,

%T 386117,821647,1742539,3681149,7754081,16290073,34136059,71378603,

%U 148948141,310248251,645155227,1339484207,2777105131,5750079077

%N a(n) = prime(2^n + 1).

%H Hugo Pfoertner, <a href="/A051439/b051439.txt">Table of n, a(n) for n = 0..78</a>, using David Baugh's b-file from A033844.

%H Kim Walisch, <a href="https://github.com/kimwalisch/primecount">Fast C++ prime counting function implementation</a>.

%e a(0) = prime(2^0+1) = prime(2) = 3,

%e a(1) = prime(2+1) = prime(3) = 5,

%e a(2) = prime(2^2+1) = prime(5) = 11,

%e a(3) = prime(2^3+1) = prime(9) = 23, and so on. - _N. J. A. Sloane_, Dec 09 2020

%t Prime[2^Range[0,30]+1] (* _Harvey P. Dale_, Jan 19 2014 *)

%Y Cf. A000040, A033844, A018249, A051438, A051440.

%K nonn

%O 0,1

%A _N. J. A. Sloane_

%E More terms from Michael Lugo (mlugo(AT)thelabelguy.com), Dec 22 1999

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Last modified April 23 15:20 EDT 2024. Contains 371916 sequences. (Running on oeis4.)