What is so amazing about this conjecture?
It is almost like the twin-prime conjecture.
One thing about number theory it is to easy to come up with unsolvable problem.
In fact, I can come up with a problem which cannot be solved by anybody in the world in under 5 minutes.
Any statement involving infinitude of prime and diophantine equations often are conjectures.
And what is the point of mentioned to prove this conjecture on a math forum?
It is almost as bad as creating a thread asking for a proof of Riemann's Hypothesis.