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

1,1

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.

Mathematica

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

Prog

(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

Crossrefs

Cf. A027699, A268412, A268477.

Sequence in context: A156312 A172988 A020604 * A082554 A141246 A288445

Adjacent sequences: A268473 A268474 A268475 * A268477 A268478 A268479

Keyword

nonn,base

Author

Vladimir Shevelev, Feb 05 2016

Extensions

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

Status

approved