I decided to take the product of each term in the sequence and add I to the result. My main issue is that I do not know how to show that this resulting number must have a Gaussian prime factor q which has a Split primagon. If I can show this, then my idea was to show that q*q' is a prime integer within the sequence where q' is the conjugate of q.
Showing the product has a Gaussian prime factor isn't difficult, but I'm not sure how to how it's split, nor am I sure why only the split case allows for q*q' to produce a prime within the sequence.
You might get some ideas from here.
– SARTHAK GUPTA Feb 29 '20 at 20:09