A066148 Primes with an even number of 0's in binary expansion.

3, 7, 19, 31, 43, 53, 67, 73, 79, 97, 103, 107, 109, 127, 139, 149, 163, 197, 271, 283, 307, 313, 331, 367, 379, 397, 409, 419, 421, 431, 433, 439, 443, 457, 463, 487, 491, 499, 523, 547, 571, 593, 599, 619, 643, 673, 683, 691, 739, 751, 773, 797, 811, 821

Offset

1,1

Links

T. D. Noe, Table of n, a(n) for n = 1..1000

Mathematica

Select[Prime[Range[200]], EvenQ[DigitCount[#, 2, 0]]&] (* Harvey P. Dale, Mar 04 2017 *)

Prog

(PARI): a066148(m) = local(p, v, z); forprime(p=2, m, v=binary(p); z=0; for(j=1, matsize(v)[2], if(v[j]==0, z++)); if(z%2==0, print1(p, ", "))) a066148(850)
(PARI) f(p)={v=binary(p); s=0; for(k=1, #v, if(v[k]==0, s++)); return(1-s%2)}; forprime(p=3, 821, if(f(p), print1(p, ", "))) \\ Washington Bomfim, Jan 14 2011
(PARI) forprime(p=2, 10^3, if( #select(x->x==0, digits(p, 2))%2==0, print1(p, ", "))); \\ Joerg Arndt, Jun 16 2018

Crossrefs

Cf. A066149, A027699, A027697.

Cf. A059010

Sequence in context: A136054 A006032 A240072 * A093932 A141173 A145472

Adjacent sequences: A066145 A066146 A066147 * A066149 A066150 A066151

Keyword

nonn,easy,base

Author

R. K. Guy, Dec 13 2001

Extensions

More terms from Vladeta Jovovic and Klaus Brockhaus, Dec 13 2001

Status

approved