The fact that there are infinite integers can only let us deduce that there are infinite primes if we’ve already proved that every integer greater than 1 has a unique prime factorization (the Fundamental Theorem of Algebra). This point might be a little less obvious :)
The fact that there are infinite integers can only let us deduce that there are infinite primes if we’ve already proved that every integer greater than 1 has a unique prime factorization (the Fundamental Theorem of Algebra). This point might be a little less obvious :)