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A268476
Balanced evil primes: primes with an even number of runs of 1's in their binary expansion.
4
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
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
KEYWORD
nonn,base
AUTHOR
Vladimir Shevelev, Feb 05 2016
EXTENSIONS
More terms from Peter J. C. Moses, Feb 05 2016
STATUS
approved