Re: [math-fun] some conjectures (theorems?) about quadratic forms

My apologies for preemptively clarifying an ambiguous statement. I said "...When plotted with the ranges shown above, the parabolic segments can be joined in a boustraphedonic path through the naturals and, given the x,y indices, their factors. For y a prime, the only intersection points with integer indices are x=1 and x=y. ..." In the last sentence, I meant when looking at the plot of the nested parabolas, and looking at a given horizontal line y=p with p a prime, that on that horizontal line the only intersection points of any parabola with y=p having integer indices are x=1 and x=y. The sentence as given could also be interpreted as referring to y in the original quadratic form, which was not my intent.