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A078830 Numbers having in binary representation exactly one binary substring representing a prime. 2

%I #5 Mar 30 2012 18:50:29

%S 2,3,4,8,9,16,32,33,64,65,128,129,256,512,513,1024,1025,2048,2049,

%T 4096,4097,8192,8193,16384,16385,32768,32769,65536,131072,131073,

%U 262144,262145,524288,524289,1048576,1048577,2097152,2097153,4194304,4194305

%N Numbers having in binary representation exactly one binary substring representing a prime.

%C A078827(a(n)) = 1; subsequence of A078829 and of A078831;

%C for k>2 also floor(a(k)/2) belongs to the sequence.

%e p=2 -> '10' is the only prime contained exactly once in 2^k, k>0.

%Y Cf. A078827, A078829, A007088, A000079, A048578.

%K nonn,base

%O 1,1

%A _Reinhard Zumkeller_, Dec 08 2002

%E Extended by _Ray Chandler_, Nov 03 2008

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Last modified June 4 06:06 EDT 2024. Contains 373089 sequences. (Running on oeis4.)