Examples
One can show that if an integer of the form 2**k+1 is prime, then k
must be a power of two.
Pierre Fermat conjectured that every integer of the form 2**(2**n)+1
is prime. Let's look for a counterexample. First define a function:
Now try commands like:
until you find an integer of this form which is composite. You can also
try the following command:
Obviously, Fermat didn't have access to Axiom.