Quote:
Originally Posted by axn
Yes, unfortunately.
This question is not very meaningful. You haven't specified what property(ies) of this pair of numbers makes them "amazing". Once you specify that in a more mathematically rigorous way, we can attempt to quantify the probability.
As such, what you're doing is looking for afterthefact coincidences. When you started out with this series, you were only focusing on the lack of 6 (mod 7) primes. Now you're focusing on pairs of "amazing" exponents. But none of these were predicted beforehand. You just looked at the numbers (which gives primes) and tried to find coincidences, and you did. Nothing more.

I am sure it is NOT a coincidence!!!