cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A095316 #15 Mar 03 2015 00:40:32
%S A095316 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 A095316 97,101,103,107,109,113,127,139,149,151,157,163,167,173,179,181,191,
%U A095316 197,199,211,223,227,229,233,239,241,251,263,269,271,277,281
%N A095316 Primes in whose binary expansion the number of 1-bits is > number of 0-bits minus 2.
%C A095316 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 A095316 Harvey P. Dale, <a href="/A095316/b095316.txt">Table of n, a(n) for n = 1..1000</a>
%H A095316 A. Karttunen and J. Moyer: <a href="/A095062/a095062.c.txt">C-program for computing the initial terms of this sequence</a>
%t A095316 Select[Prime[Range[60]],DigitCount[#,2,1]>(DigitCount[#,2,0]-2)&] (* _Harvey P. Dale_, May 28 2012 *)
%o A095316 (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 A095316 Complement of A095317 in A000040. Subset of A095320. Subset: A095074. Cf. also A095326.
%K A095316 nonn,base,easy
%O A095316 1,1
%A A095316 _Antti Karttunen_, Jun 04 2004