In every single case with a semiprime, (BigN-n)/(b-1) = (a-1)/2 (where a and b are the factors we're trying to find, so not BigN's a and b).

>>7191

I've tested this on non-semiprimes too now (in fact every odd number up to 100, and a bunch of bigger ones), and it seems to hold true for every set of a and b where c is odd (not evens since they don't have BigN). Here's some example output.

54321BigN cell: (32,26928,117) = {32:26928:233:232:1:54321}, f = -435(32,272,89) = {32:272:233:176:57:953}, f = -435BigN - n = 26656(BigN-n)/(b-1) = 28, (BigN-n)%(b-1) = 0(a-1)/2 = 28(32,1206,108) = {32:1206:233:214:19:2859}, f = -435BigN - n = 25722(BigN-n)/(b-1) = 9, (BigN-n)%(b-1) = 0(a-1)/2 = 9(32,8822,116) = {32:8822:233:230:3:18107}, f = -435BigN - n = 18106(BigN-n)/(b-1) = 1, (BigN-n)%(b-1) = 0(a-1)/2 = 1

I don't know if this is actually useful in any way, but it does seem pretty weird to me that the distance between BigN and n even has any relationship with a and b values that aren't actually related to BigN.

>>7191

>>7192

Something’s fishy about this. It’s definitely true that (BigN-n)/(b-1) = (a-1)/2 for every n, but it doesn’t make algebraic sense. So why is it the case?

(BigN-n)/(b-1) = (a-1)/2

((((c+1)/2)-d) – (((a+b)/2)-d)) / (b-1) = (a-1) / 2

(((c+1)/2)-d) – (((a+b)/2)-d) = ((a-1)/2)(b-1)

((c+1)/2)-d = (((a-1)/2)(b-1)) + ((a+b)/2) – d

(c+1)/2 = ((a-1)/2)(b-1) + (a+b)/2

c+1 = (a-1)2(b-1) + a+b

c+1 = (a-1)(2b-2) + a+b

c+1 = 2c-2a-2b+2 + a+b

c+1 = 2c-a-b+2

c+a+b-1 = 2c

The difference between c and 2c is a+b-1, according to the algebra. But it definitely isn't true.

c559

559 =/= 13+43-1

c203

406 =/= 7+29-1

>>7194

…what?

>>7196

Each of the points in that first picture is a pair of e and n values. e is the x axis, n is the y axis. The thing I'm talking about involves two points with the same e value but two different n values. It would be a vertical line. Also here's a more hi-res version since you seem to have saved a thumbnail by mistake. I don't mean to be patronizing, but I'm asking this because I'm not sure who you are: do you know much about what we're doing here? Do you know about all of the different variables, how they relate to each other, and the other relationships we've been finding? VQC has mentioned diagonals being important, so you're probably going in a pretty useful direction with your thinking, but I don't think it's related to the thing I was posting about.