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A360028
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Lexicographically earliest sequence of positive numbers in which no nonempty subsequence of consecutive terms sums to a semiprime.
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1
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1, 1, 1, 16, 1, 11, 1, 11, 30, 30, 79, 17, 44, 28, 12, 30, 150, 144, 252, 304, 20, 300, 132, 12, 252, 234, 18, 112, 32, 456, 52, 520, 60, 28, 120, 180, 162, 2, 52, 324, 42, 130, 20, 60, 100, 92, 132, 126, 186, 184, 104, 12, 104, 320, 8, 12, 20, 320, 104, 16, 32, 208, 404, 240, 300, 60, 408
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OFFSET
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0,4
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COMMENTS
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The sequence cannot contain any semiprimes.
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LINKS
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EXAMPLE
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a(0) = 1 by the definition of the sequence. For the next number we try 1; {1, 1 + 1} are not semiprimes, thus a(1) = 1. For the next number we try 1; {1, 1 + 1, 1 + 1 + 1} are not semiprimes, thus a(2) = 1.
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PROG
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(MATLAB)
a = 1; s = 1;
while length(a) < max_n
sn = [s+1 1];
while(~isempty(find(arrayfun(@(x)(length(factor(x))), sn)==2, 1)))
sn = sn+1;
end
s = sn; a = [a sn(end)];
end
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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