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A027706 n-th prime has odd number of 1's in binary expansion and (n+1)st prime has even number of 1's. +0
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1, 6, 8, 13, 15, 19, 22, 25, 29, 33, 37, 44, 54, 58, 61, 63, 65, 67, 73, 75, 78, 86, 88, 90, 95, 98, 100, 104, 107, 113, 116, 121, 123, 130, 132, 136, 138, 140, 145, 149, 151, 153, 158, 164, 169, 172, 175, 177, 181, 186, 189, 193, 198, 202, 205, 207, 210, 212, 220 (list; graph; listen)
OFFSET

0,2

COMMENT

c[ n_ ] := OddQ[ Count[ IntegerDigits[ n,2 ],1 ] ]; Select[ Range[ 500 ],c[ Prime[ # ] ]&&Not[ c[ Prime[ #+1 ] ] ]& ]

CROSSREFS

Sequence in context: A072057 A160133 A057710 this_sequence A047336 A063188 A058938

Adjacent sequences: A027703 A027704 A027705 this_sequence A027707 A027708 A027709

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Erich Friedman (erich.friedman(AT)stetson.edu).

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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