It would be easier to read this if they gave equations or names for sequences, insdead of using elipses --- 5, 13, 21, 29... is harder for me to understand than 5+8n; and the similarity between 5+8n and 3+8n is instantly obvious. Maybe that is me and not every reader.
I would also love to hear more about the algorithm; why are such astoundingly large numbers necessary?