• Support PF! Buy your school textbooks, materials and every day products Here!

Evaluating large integers

  • Thread starter saubbie
  • Start date
  • #1
13
0
1. Homework Statement

I need to find some huge numbers and don't know how to do it using a computer. Everything that I have tried doesn't work because the numbers are too big.

2. Homework Equations

The equations are 1/((1-x)(1-x^2)(1-x^3)) and 1/((1-x)(1-x^3)(1-x^4)) where x=10^30.


3. The Attempt at a Solution

I am assuming the only way to find this is using a computer. Please help!
 

Answers and Replies

  • #2
Gib Z
Homework Helper
3,344
4
The numbers aren't huge here, they're extremely small!

x is quite a large number here, in comparison the 1's in the denominators will be quite insignificant. If we forget about the 1's, we can the equations to be:

[tex]\frac{-1}{x^6} [/tex] and [tex]\frac{-1}{x^8}[/tex]. Those numbers you can easily compute exactly by hand =] I also assure you that neglecting the 1's creates a very small error indeed. We could carry out an analysis to find the maximum error made, but I can't be bothered, I'm sure you see its tiny as well.
 

Related Threads for: Evaluating large integers

  • Last Post
Replies
3
Views
6K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
3
Views
640
  • Last Post
Replies
5
Views
627
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
7
Views
2K
  • Last Post
Replies
9
Views
783
Top