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A236695 The n-th prime with n 0-bits in its binary expansion. 1
2, 43, 41, 139, 269, 773, 1049, 2309, 4357, 8737, 16673, 34819, 66569, 139393, 279553, 589829, 1051649, 2621569, 4260097, 9437189, 17039489, 33817601, 67649537, 167903233, 269484097, 545260033, 1074267137, 2155872769, 4311760897, 12884901893, 17184063521 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Charles R Greathouse IV and Alois P. Heinz, Table of n, a(n) for n = 1..500 (first 40 terms from Charles R Greathouse IV)

EXAMPLE

Primes p(k) such that

A035103(p(k)) = 0: 3, 7, 31, 127, 8191,...

A035103(p(k)) = 1: 2, 5, 11, 13, 23, 29,...

A035103(p(k)) = 2: 19, 43, 53, 79, 103, 107,...

A035103(p(k)) = 3: 17, 37, 41, 71, 83, 89, 101,...

A035103(p(k)) = 4: 67, 73, 97, 139, 149, 163,...

A035103(p(k)) = 5: 131, 137, 193, 263, 269, 277,...

PROG

(PARI) nz(n)=#binary(n)-hammingweight(n)

a(n)=my(k=n); forprime(p=2, , if(nz(p)==n&&k--==0, return(p))) \\ Charles R Greathouse IV, Feb 04 2014

CROSSREFS

Cf. A066195 (least prime having n zeros in binary), A236513 (the n-th prime with n 1-bits in its binary expansion).

Sequence in context: A069544 A256285 A268467 * A085460 A139835 A235473

Adjacent sequences:  A236692 A236693 A236694 * A236696 A236697 A236698

KEYWORD

nonn,base,less

AUTHOR

Irina Gerasimova, Jan 30 2014

EXTENSIONS

New name from Ralf Stephan and Charles R Greathouse IV, Feb 04 2014

a(14)-a(27) from Charles R Greathouse IV, Feb 04 2014

a(28)-a(31) from Giovanni Resta, Feb 04 2014

STATUS

approved

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Last modified February 28 08:06 EST 2020. Contains 332321 sequences. (Running on oeis4.)