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A100724
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Prime numbers whose binary representations are split into at most 3 runs.
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0
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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
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OFFSET
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1,1
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COMMENTS
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The n-th prime is a term iff A100714(n) <= 3.
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LINKS
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EXAMPLE
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a(3)=5 is a term because it is the 3rd prime whose binary representation splits into no more 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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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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STATUS
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approved
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