OFFSET
1,1
COMMENTS
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
REFERENCES
R. K. Guy, Unsolved Problems in Number Theory (UPINT), Section D11.
LINKS
Burshtein, Nechemia. On distinct unit fractions whose sum equals 1. Discrete Math. 5 (1973), 201--206. MR0314738 (47 #3290)
Burshtein, Nechemia. All the solutions of the equation Sum_{i=1..11}} 1/x_i = 1 in distinct integers of the form x_i = 3^alpha 5^beta 7^gamma. Discrete Math. 308 (2008), no. 18, 4286--4292. MR2427761 (2009e:11061)
The Prime Puzzles and Problems Connection, Problem 35
CROSSREFS
KEYWORD
nonn,fini,full
AUTHOR
N. J. A. Sloane, Dec 03 2011
STATUS
approved