As I said yesterday in the chat session, I have a basic pciture of what I'm going to do to try and proof the conjecture.
But as the math is very advanced, I need some help.
First, in order for two numbers to be a "fundamental pair of periods" (see
http://en.wikipedia.org/wiki/Period_lattice) the ratio of them, i.e. w1/w2 doesn't equal a real number. In order to my proof to work, it must happent hat the ratio of two random primes must no be real. Can the ratio of two primes not be real?