>So, re-read a few crumbs and had a breakthrough this eve!

I am gonna post an idea here, and if MM's breakthrough overshadows this, great, that's positive news, hope it works. Here's the idea. What about iterating new_d = old_d^2 + e. Inspired by the Mandelbrot set clue. Just mucking around with it now.

>>4160

I haven't found anything useful but, with the Mandelbrot set you would start with z_0=0, and a constant c, then z_1 = z_0^2+c ; z_2 = z_1^2 + c, and so on.

I was picking a fixed e, and choosing an intial d_0 value, then iterating:

d_1 = d_0^2 + e

d_2 = d_1^2 + e

I still haven't gotten any math type programs going on this pc; the numbers grow quick and I haven't found anything useful yet. Plus I keep looking at different spirals…

>>4168

and I am curious also about whether, when going from d_n to d_n^2+e, there is any useful connection between the cell(s) with d_n^2 + e as its c-value (the product of its a,b terms), and the cell(s) with d_n as a d-value. That type of thing.

>>4283

grid patterns can't just be for semiprimes

>>4276

> this forum is such a pain in the ass to read.

yep haha! we anons are generally sloppy, and vqc makes sloppy / partially true statements sometimes . let's hope it's to throw off the overconfident boring academics :)

>>4281

>The rule still holds. Actually read what he said for fuck sake.

vqc did make a mistake here, when he says 'even, even, odd, odd' it doesn't apply to x+n but it works for d+n

thanks to PMA for that breakdown here >>4246

e mod 4 : 0, 1, 2, 3

x+n : odd, even, odd, even

d+n : odd, odd, even, even.

I didn't check the whole first row but what I checked was consistent with this. In the rest of the grid (n>1) I have had seen one counterexample at (4,20) haha, and in general this e mod 4 rule can't hold throughout the grid.

>>4291

you don't even need a theorem, you can play with the rules pretty easily:

odd + odd = even

odd + even = odd

even + even = even

odd^2=odd

even^2=even

odd*even=even

odd*odd=odd

even*even=even

odd-even=odd

even-odd=odd

odd-odd=even

even-even=even

>>4300

as a follow up, when c is odd:

c=i^2-j^2 (remember i = d+n, j = x+n)

a difference which is odd, so one of i, j is odd, the other even. we would be looking at the combination with x+n odd, and d+n even, or vice versa. (this doesn't tell us about e unless it's in row 1, though)

>>4444

>I hereby pronounce this day the day of 4

Thank you anon, for the importance of the number four is not to be underestimated in this great human revolution. Music, physics, math, history. 4 is everywhere. no coincidences.