Hey bobby623,
Let's see if this makes any sense to you and can possbily help you out. I put all the strings into this and looked for what I was talking about. I just split them up into sets of 6 digits and put them into it, so I know they're what you gave me exactly. I haven't switched it to vertical yet, but can and will if you think this may help. I figured I'd explain it here and show you how I would use it, then if you thought it may help, you could always refer to here if I wasn't around.
What this does is it just brings up the pairs in the string so you can see them easier. I color coded each differently to make tracking them easier and faster.
In column A rows 4 thru 19 are the pairs that are possible out of all the digits in the string. 11 to 44.
Column B rows 4 thru 19 are how many times each pair hs showed up in the string. With D there giving you the percentage for each. Each time you add a string, it will take it into account and adjust the percentage accordingly.
Now row 1 is just a counter setup. It basicly counts the digits 1 thru whatever. Right now it's set up for 1,373 digits in the string. Your on 429 as of the last ones you sent me, so you got a ways to go. And extending this further as needed is easy. But those counters just count.
In row 2 in the yellow is taking all the counters inside row 1 and summing them up to their whole number single digit form. I'll get into why for that to after I show what and all is what.
Row 4, in column AM you see an 8. That 8 is the start of the pair of 44. 4+4=8. Just simple addition. Beside that in AN row 4 is another 8. That's the end of your 44 pair in the string. If you look straight down from that first 8 there in column AM you can see it lands on the first 4 in the pair. I turned the 44 into 8 because that's it's added together sum is all. I did the same thing to each pair that you have possible. 43 becomes 7, 42 becomes 6 and so on. Every digit you add to the string in row 20 will pop up the pairs sum on the chart above it.
Now the tricky part. Using my limited explaining skills to see if this might help and to show what I was looking for.
With strings like this. I look at them like a timer. Like boiling an egg. Every second that it's boiling, there is a reaction inside the egg happening. If that makes sense. Every egg is different, but the process is the same each and every time. Depending on staying the same temp that is. But anyway, what I'm trying to get at is, I'm thinking that there is a "something" for lack of a word to explain what I'm thinking, that happens and it sets off a reaction on a timed scale. And if that is where I'm headed with this.
For starters in trying to explain what and how I am thinking to use this, I went ahead and highlighted some examples. I'm using the pair of 23 for this.
If you look at 23 it's simply alternate forms of either 1 or 5. 3-2=1 or 2+3=5. So now you have your sums of 5 or 1. If you look in column S where the first part of the 23 pair showed up, at the top of S in row 2, that is the added sum of 14. But 5 is a match there. These are not hypothetical situations now. This is using the data you gave me and how it came out. Look at the next 23 pairing and it's sum of 5 showing. It came in on column X. Column X was the 19th digit over in your string. 19 has a total of 1 added. Or 8 subtracted. 23 has a sum of 1 if subtracted. The 1 matched up to the 1 sum of 19. And for the third pairing of 23 in this string, it started in column AB. I'll let you look at what is in rows 1 and 2 there and hopefully you'll see where I'm going with this.
Look at the first pairing of 43. It's a sum of 1 or 7. It started in column L. The first pair of 34 started in column F. 34 comes from 1 or 7. First pair of 24 starts in column K. 24 is either 2 or 6. Take all the pairs of 33 here. 33 is either 0 or 6. The first pairs of 33 starts on column M and is on the 8th counter, But it goes into another pair of 33 directly off that pair. Now that 8 in M1 and M2 is not 6, but it's connected. And the second pair of 33 starts on N and is on counter 9. Here is where your probably going to start questioning this. LOL. I hope not, so just see if it makes sense to you before thinking I'm totally nuts.
We have 33 pair followed by 33 pair if going thru this making pairs with each new digit placed into the string. For every 3 digits you put in, you're going to have two pairs come out of it. Let's say that 8 is connected to 6. You have triple 3's there. The 8 is followed by 9. 8 and 9 are a total of 17. 17 is either 6 or 8. There is your 6 from the 33 matching up to the 6 from 17. The way I see numbers, every odd number has an alternate version. 6 is an even number and 9 is it's odd counterpart. So if that's true, that could be why you had 33 pair up twice there. Now I say 6 and 8 is connected, because if you double 8, it gives you 16. 16 is the 6th digit over in the start of the teens.
To try to explain that double 33 pair better, let's look at the next time that 33 paired up more than once again. It starts in column AO and is the 36th digit in the string. 36 is either 3 or 9. 9 is the odd opposite of 6. Then it finishes up the that pair and starts the second 33 pair in AP. AP is the 37th digit over in the string. 37 is either 4 or 10. Neither of which is a match for 6. Unless you look at it a little deeper. If every digit has an alternate parallel, then 0's has to be 5. So instead of 10 you have 15 and 15 has a sum of??? 6. Now that 38 really really looks no where near a match for 6. By just looking at it. 3 and 8 kind of look alike though don't they? They are what I beleive to be each other's opposites. If you for starters take 38 and make the 8 it's 3 parallel, then you have 33. If you take the 3 and make it it's parallel, you have 88. 8+8=16. 16 the 6th digit over in the teens. Another way of looking at it is 3+8=11. 11 is either 0 or 2. You have to look at how 0 works with numbers to see what I'm talking about there. If 0 works like I think it does, it tends to double, half, or something to that nature whatever number it is with. 6 is a mulitple of 2, three times. 2+2+2. If that makes sense. Now that last pairing of 33 ends on 39. 39 is either 6 or 12 and in turn turns into 3. So there is your match of 6's. So that string of 33 pairs started on counter 36 (3 or the alternate of 6,9) and ended on 39 (6 ,12 to 3). A subtracted 3 going to an added 3. And an added parallel of 6 to a subtracted regular version of 6. If that makes sense to you or anyone else, I don't know. I just call it as my brain sees it. To further that one, since I'm on it, 3 came right after those pairs of 33. Look at the counters that it came on. 39 and 40. Those two total 3+9=12=1+2=3, and 4+0=4. There is 3 and 4 making 7 and 4-3+1. Or 34 for 34.
I don't know for sure if that's the way this is or not. I know what my brain tells me it is, or what it could be anyway. And I know there are more than one pair to make 3,4,5,6,7 on here. I'm still studying it and trying to understand it myself. And all of what I just said could be just nonsense. I try not to second guess myself, and have been wrong on more than one occasion. That's just the way my brain interprets it. And like I said, I'm definintely not a mathemitician. I just like fooling around with this stuff.
I've got some more parts to this also. I'll have to screenshot some of it and put it on here to explain it though.
31 didn't happen to show up anywhere close to after the end of the last full string you sent me did it? Just curious to see if I'm getting any where close to reading these. 24432 was the last of the string you gave me. That would put that 2 from the 32 as the 429th digit in the string.