

A144754


Integers that have a prime number of 0's in their binary expansion.


5



4, 8, 9, 10, 12, 17, 18, 19, 20, 21, 22, 24, 25, 26, 28, 32, 35, 37, 38, 39, 41, 42, 43, 44, 45, 46, 49, 50, 51, 52, 53, 54, 56, 57, 58, 60, 65, 66, 68, 71, 72, 75, 77, 78, 79, 80, 83, 85, 86, 87, 89, 90, 91, 92, 93, 94, 96, 99, 101, 102, 103, 105, 106, 107, 108, 109, 110
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OFFSET

1,1


LINKS



EXAMPLE

66 written in binary is 1000010. This has five 0's and five is a prime. So 66 is included in the sequence.


MATHEMATICA



PROG

(PARI) isok(n) = isprime(#binary(n)  hammingweight(n)); \\ Michel Marcus, Feb 23 2016
(Python)
from sympy import isprime
i=j=1
while j<=250:
if isprime(bin(i)[2:].count("0")):
print(str(j)+" "+str(i))
j+=1


CROSSREFS



KEYWORD

base,nonn


AUTHOR



EXTENSIONS



STATUS

approved



