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%I #7 Oct 26 2024 21:17:24
%S 3,5,7,9,13,15,25,75,105,315,325
%N One of 15 possible sets of eleven odd numbers, not all of the form 3^alpha 5^beta 7^gamma, whose sum of reciprocals is 1.
%H Nechemia Burshtein, <a href="https://doi.org/10.1016/j.disc.2007.08.049">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</a>, Disc. Math. (2008) Vol. 308, No. 18, 4286-4292. MR2427761 (2009e:11061)
%Y Five of the 15 solutions are shown in A211135-A211139. Cf. A211118-A211134, A201643, A201644, A201646, A201647, A201648, A201649.
%K nonn,fini,full
%O 1,1
%A _N. J. A. Sloane_, Apr 02 2012