MathDB
x!+y!/n!=3^n

Source: VietNamMO 2005,problem5

March 11, 2005
Ross Mathematics Programnumber theory proposednumber theory

Problem Statement

Find all triples of natural (x,y,n) (x,y,n) satisfying the condition: \frac {x! \plus{} y!}{n!} \equal{} 3^n Define 0! \equal{} 1