Find a solution for a^2+b^2+c^2+d^2+e^2=abcde in integers>0.
Source: Moldova 2008 IMO-BMO Third TST Problem 1
March 30, 2008
quadraticsnumber theory proposednumber theory
Problem Statement
Determine a subset having different elements, so that the sum of the squares of its elements equals their product.
Do not simply post the subset, show how you found it.