Fitting a (Very) Large Random Number To A Formula

[WebDawg]

It has been a very long time since I have done any calc or hard math, I hope this question is in the right place.

I have a HUGE number, that is random and big. What do I need to study/look at to create a formula that will generate just it?

 

[RyanH42]

I didnt understand your question.Lets suppose we have a number 4736282828262937372836388363728190.
What do you want ?
Make equations and find this number ?

 

[GiuseppeR7]

what kind of data? probably there is no a general way to discover how it was created! in my opinion it is impossible since exist ordered sets of numbers that can be generated with different algorithms. But maybe a program like Matlab or Wolfram Mathematica can find something called a fit if the data is in a certain form.

 

[GiuseppeR7]

https://reference.wolfram.com/language/tutorial/ManipulatingNumericalData.html
https://reference.wolfram.com/language/tutorial/CurveFitting.html

 

[WebDawg]

Thanks GiuseppeR7.

That is what I was looking for to start. I do not want to approximate though, I have fit curves before, but I need and equation that would give the EXACT answer.

To answer some of the others questions, I do not care how it was created and no patterns exist in the number.

I am also talking about numbers that could be infinite or part of an infinite sequence.

Honestly, I have this massive number, and I want to search inside an infinite generated number (set?) and find that number inside of it. Now I know that there is nothing to guarantee that my set even exists in this infinite number. If I remember correctly, is it not incredibly difficult to find future values of equations that generate infinite numbers...I thought though some examples exist.

 

[Mark44]

Honestly, I have this massive number, and I want to search inside an infinite generated number (set?) and find that number inside of it.

If you have an infinite set of numbers, what makes you think you will find the number you're looking for in a finite amount of time?

Now I know that there is nothing to guarantee that my set even exists in this infinite number.

This doesn't make sense. "Infinite number" - are you talking about a set with an infinite number of elements (numbers) in it?

If I remember correctly, is it not incredibly difficult to find future values of equations that generate infinite numbers...

Your terminology is off here. There are sequences (a sequence is a type of function) that are defined recursively, but they don't generate "infinite numbers."

As an example:
a₀ = 1
a_n = a_{n - 1} + 1, for n ≥ 1

This sequence is {1, 2, 3, 4, ...}. IOW, all of the positive integers.

I thought though some examples exist.