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A211137 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. 0

%I #3 Apr 02 2012 13:58:24

%S 3,5,7,9,15,21,23,45,69,105,115

%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.

%D 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)

%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

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