Suppose I told you that the Goldbach conjecture is one of those. (The Goldbach conjecture supposes that every even integer number can be expressed as the sum of two odd primes.)

Is that logically possible? (And, no, I haven't proved it!)

Infinity isn't a number, it is a concept, a destination, or a boundary.  Numbers can be used to perform calculations.  The objection about zero is relevant (which two primes add to zero?) but zero is even.  What doesn't apply to zero is a +/- sign.

As to Goldbach, what about 2?  Since when is 1 prime?

-Tom