By measuring only the gaps between even perfect squares and even Remainder Series terms, and between odd and odd, The constellations I was seeing shrank by half in both directions… and showed me something quite unremarkable as a result. Such is math.
What it showed me was basically an arrangement of X’s and dots where the X marked divisibility by 3, 5, 7, 11, 13, … depending on the row. Quite a pretty constellation it was, but so far I cannot see that it would tell me anything to infer factorization from the constellation for a number whose factors I do not know. Chinese Remainder Theorem approaches and the like only deal with the moduli you’ve fed them.
Well, that’s all right. I will keep at it when the next new idea comes, and cool my jets a little until then. Certainly life gives me plenty to do!
What a ride this is! I can pretty much forgive it for going, so far, not much of anywhere. All the most fun rides still take you back to very near where you came in to get on board.