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Search: id:A102029
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| A102029 |
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Smallest semiprime with Hamming weight n (i.e. smallest semiprime with exactly n ones when written in binary), or -1 if no such number exists. |
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+0
1
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| 4, 6, 14, 15, 55, 95, 247, 447, 511, 1535, 2047, 7167, 12287, 32255, 49151, 98303, 196607, 393215, 983039, 1572863, 3145727, 6291455, 8388607, 33423359, 50331647, 117440511, 201326591, 528482303, 805306367, 1879048191, 3221225471
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Semiprime analogue of A061712. Extended by Stefan Steinerberger (stefan.steinerberger(AT)gmail.com). Includes the subset Mersenne semiprimes A092561.
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EXAMPLE
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a(1) = 4 because the first semiprime A001358(1) is 4 (base 10) which is written 100 in binary, the latter representation having exactly 1 one.
a(2) = 6 since A001358(2) = 6 = 110 (base 2) has exactly 2 one.
a(4) = 15 since A001358(6) = 15 = 1111 (base 2) has exactly 4 ones
and, as it also has no zeros, is the smallest of the Mersenne
semiprimes.
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CROSSREFS
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Cf. A000043, A000120, A000337, A000668, A001358, A007088, A061712, A085724, A089226, A089998, A089999, A091991, A092558, A092559, A092561, A092562, A081093, A102782, A110472, A110699, A110700.
Sequence in context: A034759 A094298 A089226 this_sequence A029641 A089377 A090773
Adjacent sequences: A102026 A102027 A102028 this_sequence A102030 A102031 A102032
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 23 2007
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