Digits of $\pi$ using Integer Arithmetic How can I compute the first few decimal digits of $\pi$ using only integer arithmetic? By 'integer arithmetic' I mean the operations of addition, subtraction, and multiplication with both operands as integers, integer division, and exponentiation with a positive integer exponent. The first hundred decimal digits or so would be sufficient if the method is not a completely general one.
By 'compute', I mean that I would like to obtain subsequent digits of $\pi$ one-by-one, printing them to the screen as I go along.
(Context: I'm writing a Befunge-98 program...)

The (or rather a) spigot algorithm for $\pi$ does exactly that: extract digits of $\pi$ one by one based entirely on integer arithmetic. See this paper.
