

A177796


Numbers n such that number of 1's in binary representation of nth prime = number of 0's in binary representation of nth prime.


2



1, 12, 13, 34, 35, 38, 45, 100, 102, 103, 104, 107, 110, 112, 113, 118, 119, 120, 121, 123, 127, 138, 140, 158, 323, 328, 331, 335, 339, 345, 348, 350, 353, 355, 356, 359, 365, 366, 380, 385, 393, 394, 396, 398, 412, 414, 415, 419, 425, 456, 472, 484
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OFFSET

1,2


LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000


FORMULA

A014499(a(n))=A035103(a(n)).


MATHEMATICA

n1Q[n_]:=Module[{idn2=IntegerDigits[Prime[n], 2]}, Count[idn2, 1] == Length[idn2]/2]; Select[Range[500], n1Q] (* Harvey P. Dale, Jun 26 2013 *)


PROG

(PARI) is(n)=n=prime(n); hammingweight(n)==hammingweight(bitneg(n, #binary(n))) \\ Charles R Greathouse IV, Mar 29 2013


CROSSREFS

Cf. A031443, A014499, A035103.
Sequence in context: A125998 A307279 A106323 * A342942 A322462 A037304
Adjacent sequences: A177793 A177794 A177795 * A177797 A177798 A177799


KEYWORD

nonn


AUTHOR

JuriStepan Gerasimov, May 14 2010


EXTENSIONS

Entries checked by D. S. McNeil, Nov 26 2010


STATUS

approved



