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Search: id:A100723
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| A100723 |
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Prime numbers whose binary representations are split into exactly seven runs. |
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+0
1
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| 149, 173, 181, 277, 293, 331, 337, 347, 349, 373, 421, 557, 587, 593, 599, 601, 613, 617, 619, 653, 659, 673, 691, 701, 709, 727, 733, 757, 809, 811, 821, 857, 859, 877, 937, 941, 1061, 1069, 1093, 1097, 1117, 1129, 1163, 1171, 1181, 1187, 1201, 1213
(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)=181 is a member because it is the 3rd prime whose binary representation splits into exactly 7 runs. 43_10=10110101_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: A121280 A035822 A128919 this_sequence A031929 A115231 A161487
Adjacent sequences: A100720 A100721 A100722 this_sequence A100724 A100725 A100726
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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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