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A346603
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The first of four solutions to a Monthly problem asking if there exist finite sequences 1 < a(1) < a(2) < ... < a(n) such that Sum_i 1/a(i) = 1 and gcd(a(i), a(i+1)) = 1 for 1 <= i < n.
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3
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OFFSET
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1,1
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COMMENTS
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There are probably a large number of such sequences, but it seems worthwhile putting these four examples on record. They were the only solutions submitted.
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LINKS
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Daniel Ullman, Proposer, Problem E3359, Amer. Math. Monthly, 98:2 (1991), 168.
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CROSSREFS
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KEYWORD
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nonn,fini,full
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AUTHOR
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STATUS
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approved
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