The book "Program = Proof" by Samuel Mimram starts with a formula which is true for all n below

n = 15 341 178 777 673 149 429 167 740 440 969 249 338 310 889

I don't think you can catch it with any test suite.

If you have an int32 or less you can!

And you'll rapidly return to proofs when your "function input" is something like a sequence of, say, ieee floating point numbers coming over the wire of possibly unbounded length. State machines with proofs that all the cases are handled are great.