- #1

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- TL;DR Summary
- I need a calculator that can handle fractions with really large denominators

I am trying to get one step further with my search for [itex]\sum_{n=1}^{\infty}\frac{1}{n^{2s+1}} [/itex]. Part of the way is to calculate some algebraic expressions containing fractions with really huge numbers (as in [itex](\frac{1}{5^{9}}+\frac{1}{7^{9}}-\frac{1}{17^{9}}-\frac{1}{19^{9}})\div (\frac{2}{6^{9}}-\frac{2}{18^{9}}) [/itex]). Does anybody know of such a calculator or do I have to write it myself?

Yes, I know about

Yes, I know about

*mpir.org*, but they are based on 64-bit numbers which is too small for me (since 5, 7, 17 and 19 are all prime numbers, adding the fractions will end up in a really huge denominator).