random number thought: the fundamental theorem of algebra states that every number >=2 has an unique prime factorization, however if 1 is a prime then every prime factorization can be made into an equivalent one by multiplying by one, meaning if 1 is prime these aren't unique, therefore 1 cannot be prime
or is it fundamental theorem of arithmetic
@chjara that's arithmetic, algebra is "every polynomial has a complex root"
