Short answer: Depends on the hardware that's in your box, but I would assume a P3 should have more than enough horsepower for a basic desktop install.
Long answer: the best way to check would be to try installing it, if that's not an option, consult somthing like:
Sleepy Gomez <firstname.lastname@example.org> wrote:
I have a computer (Dell pentium 3, for windows 2000 prof, windows 98,
and windows nt4.0) that is completely clean, no windows, no nothing.
Can I put Debian on this machine with nothing else and will it work? I
suppose I will need to add an e-mail program.
Many thanks SLEEPY
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