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A201463
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A list of 25 distinct numbers such that the sum of their reciprocals is 1 and each number is of the form p^i*q^j where p and q are distinct primes.
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4
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6, 10, 12, 14, 15, 18, 21, 22, 24, 26, 28, 33, 35, 36, 39, 48, 52, 56, 65, 72, 88, 91, 99, 117, 144
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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At the time Burshtein's paper appeared, this was the smallest example known of this type (it may still be the smallest).
Incidentally, this was the 200000th sequence added to the OEIS.
For the smallest example (20 numbers) of this type, see A237051. - Jon E. Schoenfield, Feb 02 2014
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REFERENCES
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E. J. Barbeau, Expressing one as a sum of distinct reciprocals: comments and a bibliography, Eureka (Ottawa), 3 (1977), 178-181.
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LINKS
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Table of n, a(n) for n=1..25.
N. Burshtein, Improving solutions of Sum_{i=1..k} 1/x_i = 1 ..., Discrete Math., 306 (2006), 1438-1439.
Index entries for sequences related to Egyptian fractions
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CROSSREFS
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Cf. A201464, A201514, A201650.
Sequence in context: A069059 A273157 A139587 * A119313 A097318 A080363
Adjacent sequences: A201460 A201461 A201462 * A201464 A201465 A201466
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KEYWORD
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nonn,fini,full
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AUTHOR
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N. J. A. Sloane, Dec 01 2011
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STATUS
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approved
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