A268476 Balanced evil primes: primes with an even number of runs of 1's in their binary expansion.

5, 11, 13, 17, 19, 23, 29, 47, 59, 61, 67, 71, 79, 97, 103, 113, 131, 149, 173, 181, 191, 193, 199, 223, 227, 239, 241, 251, 257, 263, 271, 277, 293, 331, 337, 347, 349, 373, 383, 421, 449, 463, 479, 487, 499, 503, 509, 557, 587, 593, 599, 601, 613, 617, 619

Offset: 1

Author

Vladimir Shevelev, Feb 05 2016

Keywords

• nonn
• base

Comments

Primes in A268412. Complement of A268477.

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..10000
• Vladimir Shevelev, Two analogs of Thue-Morse sequence, arXiv:1603.04434 [math.NT], 2016.

Crossrefs

Cf. A027699, A268412, A268477.

Programs

Mathematica

Select[Prime@ Range@ 120, EvenQ@ Length[Split@ IntegerDigits[#, 2] /. {0, _} -> Nothing] &] (* Michael De Vlieger, Feb 08 2016 *)

Python

from sympy import prime
A268476_list = [p for p in (prime(i) for i in range(1,10**6)) if not len(list(filter(bool,format(p,'b').split('0')))) % 2] # Chai Wah Wu, Mar 01 2016

Extensions

More terms from Peter J. C. Moses, Feb 05 2016