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 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Indranil Ghosh, Table of n, a(n) for n = 1..25000 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 Select[Range@ 120, PrimeQ@ DigitCount[#, 2, 0] &] (* Michael De Vlieger, Oct 26 2017 *) 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 i+=1 # Indranil Ghosh, Feb 03 2017 CROSSREFS Cf. A052294. Sequence in context: A193166 A155101 A158582 * A080970 A288862 A274584 Adjacent sequences: A144751 A144752 A144753 * A144755 A144756 A144757 KEYWORD base,nonn AUTHOR Leroy Quet, Sep 20 2008 EXTENSIONS Many more terms from Reikku Kulon, Sep 21 2008 Name edited by Michel Marcus, Apr 30 2021 STATUS approved

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Last modified April 12 16:13 EDT 2024. Contains 371635 sequences. (Running on oeis4.)