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A201643
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John Leech's example of a set of eleven distinct odd numbers the sum of whose reciprocals is 1.
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22
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3, 5, 7, 9, 15, 21, 27, 35, 63, 105, 135
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OFFSET
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1,1
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COMMENTS
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There are smaller sets - see for example A201644.
One of 17 possible sets of eleven numbers of the form 3^alpha 5^beta 7^gamma whose sum of reciprocals is 1. The 17 solutions are given in A211118 - A211134. N. J. A. Sloane, Apr 02 2012
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REFERENCES
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R. K. Guy, Unsolved Problems in Number Theory (UPINT), Section D11.
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LINKS
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The Prime Puzzles and Problems Connection, Problem 35
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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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