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Search: id:A100726
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| A100726 |
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Prime numbers whose binary representations are split into a maximum of 7 runs. |
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+0
1
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| 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277
(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)<=7
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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 at most 7 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]]] <= 7 &]
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CROSSREFS
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Cf. A100714, A000040.
Sequence in context: A158611 A000040 A008578 this_sequence A015919 A064555 A095320
Adjacent sequences: A100723 A100724 A100725 this_sequence A100727 A100728 A100729
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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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