- #1
NeilNewport
- 6
- 0
I want to approximate a very large number in a small way.
I have looked at geometric progression (which I can just about understand), but it seems to only work forwards. I want to supply a very large number and come up with a formula that will represent an approxmation of that number.
The formula needs to be compact and very small.
Somthing like...
2342342134213423423423423213424... (thosands of digits) = 123^45 - 12^12
The object it to have the formula part (i.e. 123^45 - 12^12 ) very small.
I realize that the formula will be an approximation and will be need to have a remainder that is still a very large number. I could then calculate the formula again on the remainder, and so on until I end up with a whole series of formulas and a manageable sized remainder.
Can anyone help me with what I want to do?
I have looked at geometric progression (which I can just about understand), but it seems to only work forwards. I want to supply a very large number and come up with a formula that will represent an approxmation of that number.
The formula needs to be compact and very small.
Somthing like...
2342342134213423423423423213424... (thosands of digits) = 123^45 - 12^12
The object it to have the formula part (i.e. 123^45 - 12^12 ) very small.
I realize that the formula will be an approximation and will be need to have a remainder that is still a very large number. I could then calculate the formula again on the remainder, and so on until I end up with a whole series of formulas and a manageable sized remainder.
Can anyone help me with what I want to do?