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A095316 Primes in whose binary expansion the number of 1-bits is > number of 0-bits minus 2. 4
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 263, 269, 271, 277, 281 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

A. Karttunen and J. Moyer: C-program for computing the initial terms of this sequence

MATHEMATICA

Select[Prime[Range[60]], DigitCount[#, 2, 1]>(DigitCount[#, 2, 0]-2)&] (* Harvey P. Dale, May 28 2012 *)

PROG

(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

CROSSREFS

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

Sequence in context: A049569 A100725 A050260 * A095313 A095285 A163849

Adjacent sequences:  A095313 A095314 A095315 * A095317 A095318 A095319

KEYWORD

nonn,base,easy

AUTHOR

Antti Karttunen, Jun 04 2004

STATUS

approved

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Last modified June 25 05:41 EDT 2019. Contains 324346 sequences. (Running on oeis4.)