A066149 Primes with an odd number of 0's in binary expansion.

2, 5, 11, 13, 17, 23, 29, 37, 41, 47, 59, 61, 71, 83, 89, 101, 113, 131, 137, 151, 157, 167, 173, 179, 181, 191, 193, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 277, 281, 293, 311, 317, 337, 347, 349, 353, 359, 373, 383, 389, 401, 449, 461

Offset: 1

Author

R. K. Guy, Dec 13 2001

Keywords

• nonn
• easy
• base

Examples

			17 is in the sequence because 17 is a prime and 17 = 10001_2. '10001' has three 0's. - _Indranil Ghosh_, Feb 06 2017
		

Links

• Indranil Ghosh, Table of n, a(n) for n = 1..20000 (terms 1..1000 from T. D. Noe)

Crossrefs

Cf. A066148, A027699, A027697.

Cf. A059009.

Programs

Mathematica

Select[ Prime[ Range[ PrimePi[ 1000 ] ] ], OddQ[ Count[ IntegerDigits[ #, 2 ], 0 ] ]& ]

PARI

forprime(p=2, 10^3, if( #select(x->x==0, digits(p, 2))%2==1, print1(p, ", "))); \\ Joerg Arndt, Jun 16 2018

Extensions

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