

A343258


Numbers whose binary representation has a prime number of zeros and a prime number of ones.


1



9, 10, 12, 17, 18, 19, 20, 21, 22, 24, 25, 26, 28, 35, 37, 38, 41, 42, 44, 49, 50, 52, 56, 65, 66, 68, 72, 79, 80, 87, 91, 93, 94, 96, 103, 107, 109, 110, 115, 117, 118, 121, 122, 124, 131, 133, 134, 137, 138, 140, 143, 145, 146, 148, 151, 152, 155, 157, 158
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OFFSET

1,1


COMMENTS

Terms of 4, 5 and 6 total bits (9 through 56) are the same as A089648.


LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000 (first 78 terms from JeanJacques Vaudroz)


MAPLE

q:= n>(l>(t>andmap(isprime, [t, nops(l)t]))(add(i, i=l)))(Bits[Split](n)):
select(q, [$1..200])[]; # Alois P. Heinz, Apr 11 2021


MATHEMATICA

Select[Range[160], And @@ PrimeQ[DigitCount[#, 2]] &] (* Amiram Eldar, Apr 09 2021 *)


PROG

(PARI) for(n=1, 100, print1(isa(n) && isb(n) ", "))
isa(n)= isprime(hammingweight(n))
isb(n)= isprime(#binary(n)  hammingweight(n))


CROSSREFS

Intersection of A052294 and A144754.
Cf. A089648.
Sequence in context: A242475 A160947 A158581 * A078459 A156345 A078390
Adjacent sequences: A343255 A343256 A343257 * A343259 A343260 A343261


KEYWORD

nonn,base


AUTHOR

JeanJacques Vaudroz, Apr 09 2021


STATUS

approved



