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A095078 Primes with a single 0 bit in their binary expansion. 5

%I #18 Nov 28 2019 14:46:34

%S 2,5,11,13,23,29,47,59,61,191,223,239,251,383,479,503,509,991,1019,

%T 1021,2039,3583,3967,4079,4091,4093,6143,15359,16127,16319,16381,

%U 63487,65407,65519,129023,131063,245759,253951,261631,261887,262079

%N Primes with a single 0 bit in their binary expansion.

%C Except for the first value 2, the sequence gives the primes of the form 2^k -2^j -1 with 0 < j < k-1. If j=k-1 we obtain the Mersenne primes. - _Pierre CAMI_, May 19 2005

%H T. D. Noe, <a href="/A095078/b095078.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[23000]],DigitCount[#,2,0]==1&] (* _Harvey P. Dale_, Nov 28 2019 *)

%o (PARI)forprime(p=2,262079,v=binary(p);s=0;for(k=1,#v,s+=v[k]);if(#v-s==1,print1(p,", "))) \\ _Washington Bomfim_, Jan 13 2011

%Y Intersection of A000040 and A030130. Cf. A095058.

%K nonn,base,easy

%O 1,1

%A _Antti Karttunen_, Jun 01 2004

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)