I was only going with the idea that if I could find any relations there with the double prime numbers in those sets, they may be able to be applied to the set of natural numbers. On a different note, a triangle that I have been working on has been yielding some very nice patterns (by triangle, I mean things like Pascals Triangle). Interestingly enough, setting it up as a square and eliminating the first row and column as well as the diagonal, most of the numbers are appearing to be prime and all of the values can be easily computed. I had not designed the triangle specifically for this purpose, but it would be nice if there was a predictable pattern in it. If there is, I have furthered that interpolation stuff I was working on before to handle multiple variables, so I could easily make the equation. I will try to describe the triangle though if anybody is interested.
-The first diagonal going from the top number to the left to infinity is modeled by X²
-The diagonal going right is modeled by -X²
-These diagonals can be called P₀ and Z₀, respectively.
-The second diagonals are P₁ and Z₁
-The diagonals are labeled as P_s and Z_r
-P_s(r)=Z_r(n)=r²+rs-s²

I think I may have switched that last rule around, but the first few terms look like:

          0
        1   -1
     4   1   -4
   9   5   -1   -9

The triangle was originally formed through other means, but after finding this pattern, this is how I am defining it for the moment. I do not have much more time, but if anybody wants to have fun, you can try to find how the Fibonacci and Lucas sequence tie into this 3:-)

Fwahaha... um, let's see, I am not sure if I have added much, but I do indeed have a sprite routine that can draw 8x8 sprites to pixel locations, now, that uses the same data syntax as well as more examples (some of which I still need to get screen shots of).

Actually, that uses a still experimantal command. The problem with that is that the sprite format is weird However, since then I have added a very nice circle drawing command that should make it nice and easy. An example of some code is:
:0:Asm(prgmGRAMMER
:1→X →Y
:2→X' →Y'
:Repeat getKey=15          ;So press clear to exit
:Circle(Y,X,3,3                ;Draws an inverted circle
:DispGraph
:Circle(Y,X,3,3                ;ReInverts it
:Y+Y'→Y
:If Y>64
:-Y'→Y'
:X+X'→X
:If X>96
:-X'→X'
:End
:Stop

I have not tested that code, but if it doesn't work, you can press [ON] to break the program (A nice update from ReCode).

EDIT: Okay, I have only a minute of computer time left, so I will also mention that I coded this in mnemonics, not hex, and I have some sample programs mixed in with the download.

I am using the DCS SDK, but I opened up the Brass App in notepad and saw that I could define my source as being "TI8XK" or "Intel", but it does not make the correct format for the TI8XK and the Intal hex format that I should be able to use with wappsign does not work

Okay, so I guess the previous post can be pretty much ignored now... I am in the process of converting BatLib to mnemonics so that I can incorporate some of my latest project ideas (line reading/writing/deleting, a safer programming language than ReCode, et cetera), but I do not know how to get Brass to compile my code as an app. It says that the first page must be 16KB and I think the issure is that I change .org to 9872h for code that is executed at appbackupscreen. Sorry for the runon sentence, but help would be appreciated...

Actually, I just rode the 20 miles to a public library, so I get to see it sooner! I have added monster sprites, names, items, using items from a scrolling menu thing, a battle engine, and various other things, but unfortunately, I didn't copy it to my flash drive before getting here The good news is that you only need about 2000 bytes of RAM to run it, so far and the rest (including monster stories, item descriptions, tilemaps, sprites, et cetera) is stored in archive. I have been bouncing around from project to project, so I haven't gotten all that much done...

Hmm, well it really is beneficial to know all the ins and outs of how numbers act and react to each other. It really does help in advanced math. Like, take for example when I found a method of finding an equation for any finite set of data-- that is because my brain was in one of those moods where it was randomly spewing off all of my knowledge of numbers until it hit a connection. This only happened because I was having fun playing with simple addition and subtraction!

I usually start with the second digit to obtain the carry over for the first. So I do:
8+4=12, I get the carry of 1
Add 1+1+1=3
Then I go to the last numbers 6+5=11 meaning a carry of 1 to add to the 2 from before and I get 331

It takes me three quick steps to do that as opposed to 6+5=11, carry the 1 to get 8+4+1 and now I have 13 meaning you have a carry and the first two digits are 31, then you add the carry +1+1 and you get 331. It is too cluttered for me to think that way

EDIT:

AND, I beat my time doing it this way than by pulling up a calculator.

Hehe, nice! I love being able to do that because that further affirms the notion that my calculator isn't meant for basic math

Also, I find that the best times to learn fast techniques is through math games I made one that I actually find to be fun and it lets me practice my math operations ^^ I want to add timing to it, too (As in, timing a 10 question quiz on 3 digit multiplications ) It keeps a running score of the number of correct and incorrect questions in each category
EDIT2: It also will not accept any non-number characters