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A095316 Primes in whose binary expansion the number of 1-bits is > number of 0-bits minus 2. 4

%I #15 Mar 03 2015 00:40:32

%S 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,

%T 97,101,103,107,109,113,127,139,149,151,157,163,167,173,179,181,191,

%U 197,199,211,223,227,229,233,239,241,251,263,269,271,277,281

%N Primes in whose binary expansion the number of 1-bits is > number of 0-bits minus 2.

%C Differs from primes (A000040) first time at n=32, where a(32)=139, while A000040(32)=131, as 131 whose binary expansion is 10000011, with 3 1-bits and 5 0-bits is the first prime excluded from this sequence.

%H Harvey P. Dale, <a href="/A095316/b095316.txt">Table of n, a(n) for n = 1..1000</a>

%H A. Karttunen and J. Moyer: <a href="/A095062/a095062.c.txt">C-program for computing the initial terms of this sequence</a>

%t Select[Prime[Range[60]],DigitCount[#,2,1]>(DigitCount[#,2,0]-2)&] (* _Harvey P. Dale_, May 28 2012 *)

%o (PARI)forprime(p=2,281,v=binary(p);s=0;for(k=1,#v,s+=if(v[k]==1,+1,-1));if(s>-2,print1(p,", "))) \\ _Washington Bomfim_, Jan 13 2011

%Y Complement of A095317 in A000040. Subset of A095320. Subset: A095074. Cf. also A095326.

%K nonn,base,easy

%O 1,1

%A _Antti Karttunen_, Jun 04 2004

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)