Find the positive integer solutions of the equation (1+1/a)(1+1/b)(1+1/c) = 2
What is wrong with these dodgy proofs?
Find all the 3 digit numbers such that by adding the first
digit, the square of the second digit and the cube of the third
digit you get the original number, for example $1 + 3^2
+ 5^3 = 135$. Can you find ways of reducing the search
so that you do not need to test 900 cases?
[This problem appears in Ken Follett's spy thriller of the same