What is known about the sequence
f(n)=min{|x^n+y^n-z^n|} over integers x,y,z>1?
Are there known values greater 1 and known n with f(n)=1?
Which initial values and non-trivial (i.e. better than 2^n)
upper bounds are known (apart from f(1)=f(2)=0, and
f(3)<3 since 5^3+6^3=7^3-2). Etc.
Valery Liskovets