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Search: id:A100724
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| A100724 |
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Prime numbers whose binary representations are split into a maximum of 3 runs. |
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+0
1
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| 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 47, 59, 61, 67, 71, 79, 97, 103, 113, 127, 131, 191, 193, 199, 223, 227, 239, 241, 251, 257, 263, 271, 383, 449, 463, 479, 487, 499, 503, 509, 769, 911, 967, 991, 1009, 1019, 1021, 1031, 1039, 1087, 1151, 1279, 1543, 1567
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The n-th prime is a member iff A100714(n)<=3
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LINKS
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Eric Weisstein's World of Mathematics, "Run-Length Encoding."
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EXAMPLE
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a(3)=5 is a member because it is the 3rd prime whose binary representation splits into less than 3 runs. 5_10=101_2
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MATHEMATICA
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Select[Table[Prime[k], {k, 1, 50000}], Length[Split[IntegerDigits[ #, 2]]] <= 3 &]
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CROSSREFS
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Cf. A100714, A000040.
Sequence in context: A012883 A002267 A051750 this_sequence A100110 A095323 A100370
Adjacent sequences: A100721 A100722 A100723 this_sequence A100725 A100726 A100727
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KEYWORD
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base,nonn
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AUTHOR
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Joseph Biberstine (jrbibers(AT)indiana.edu), Dec 11 2004
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