%I A138566
%S A138566 36,44,63,66,138,145,154,159,167,176,183,195,224,235,242,253,257,275,
%T A138566 279,297,318,325,333,345,352,354,357,375,381,415,422,435,451,453,514,
%U A138566 519,523,527,532,534,537,541,543,572,573,591,617,671,716,725,729,735
%N A138566 Numbers n whose digits satify the following Diophantine equation: P = 
               (X1* ... *Xr)/(X1+ ... +Xr), where P = prime number, Xi = digits 
               of n.
%e A138566 n = 761, we have (7*6*1)/(7+6+1) = 3; a(56)= 761
%e A138566 n = 792, we have (7*9*2)/(7+9+2) = 7; a(57)= 792
%e A138566 n = 813, we have (8*1*3)/(8+1+3) = 2; a(58)= 813
%Y A138566 Cf. A137923.
%Y A138566 Sequence in context: A162526 A078299 A062519 this_sequence A062034 A048034 
               A144291
%Y A138566 Adjacent sequences: A138563 A138564 A138565 this_sequence A138567 A138568 
               A138569
%K A138566 base,easy,nonn
%O A138566 1,1
%A A138566 Ctibor O. Zizka (ctibor.zizka(AT)seznam.cz), May 12 2008