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Nifty math thing #1

This can be moved to the math forum once created (if created.)

Something I figured out in calculus one day when I was bored.

Code:

3x3=9                                                     9=9

6x6=36                                                  3+6=9

9x9=81                                                  8+1=9



33x33=1089                                          1+0+8+9=18

                                                      10+89=99

66x66=4356                                          4+3+5+6=18

                                                      43+56=99

99x99=9801                                          9+8+0+1=18

                                                      98+01=99

Strangely enough, 33x33=1089 and 99x99=9801, which is 1089 backwards.

Code:

333x333=110889                                  1+1+0+8+8+9=27

                                                    110+889=999

666x666=443556                                  4+4+3+5+5+6=27

                                                    443+556=999

999x999=998001                                  9+9+8+0+0+1=27

                                                    998+001=999

Also strange, 333x333=110889, and 999x999=998001, which is almost 110889 backwards, but not exactly.

Code:

3333x3333=11108889                          1+1+1+0+8+8+8+9=36

                                                  1110+8889=9999

6666x6666=44435556                          4+4+4+3+5+5+5+6=36

                                                  4443+5556=9999

9999x9999=99980001                          9+9+9+8+0+0+0+1=36

                                                  9998+0001=9999

Once again, 3333x3333=11108889 and 9999x9999=99980001, almost reflective of each other, still cant figure out why they aren't exact.

Well, I'm not going to continue with this, I'm going to assume it will keep going on and on the same way. If anyone wants to check feel free.

I think I just figured out why they aren't exact reflections, it's just circumstantial that the one is reflective. I can't really explain it, just look at it and it will come to you.

I found something else while working this out. Shown below.

Code:

      3x3=9                          9=9

    33x33=1089                 1+0+8+9=18

  333x333=110889           1+1+1+8+8+9=27

3333x3333=11108889     1+1+1+0+8+8+8+9=36

Look at the answers. They are counting up by 9.

9 is a remarkable number.

This is all 100% my thinking, I did not borrow this from anyone or anything, if this has been found before I know not about it, this is 100% original as far as I know.

Pretty impressive man. Figure out some new shit.

3 is also the square root of 9, so that may have an influence on your findings.

Working on another more interesting thread as I'm posting this. Getting kinda tired so I might wait until tomorrow.

And if anyone is wondering why the hell I'm doing this, since it isn't useful in any way, is because finding patterns is the key to figuring out anything you don't know anything about.

Nifty coincidences, or the work of the devil? You decide.

Math is the debil. Everyone knows that.

I always thought math was pretty interesting. It's something we (humans) put together from scratch, and it works remarkably well.

no i remember someone telling me about this

Well, numbers are in nature, the word "six" was made by us but 6 objects is 6 objects even if we didn't have numbers.

Could be...hmm...Amazons Theorem.

Ha, i can just imagine in years to come, my kids come home from school grumbing: "Fucking teacher. Making us learn fucking Amazons Theorem. Load of fucking bollocks..." and so on.

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Try the Fives. I've always hated the Fives. How about a random...7!!!

There's a lot of interesting number logic to be find. Try finding proof for your findings, or even go over to another numerical base to find "patterns" if you like.

Try this: Why does the last number of many arithmetic integer multiples (ab^n) have a period of no greater than 4? (E.g. 7*13=91, 7*13^2=1183, 7*13^3=15379 7*13^4=199927, 7*13^5=2599051, 7*13^6=33787663, 7*13^7=439239619, 7*13^8=5710115047, 7*13^9=74231495611...)