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How about a proof of

1 + 1/4 + 1/9 + 1/16 + 1/25 + ... = (pi^2)/6

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This would be a proof of a special case of the Riemann Zeta function, which is used by super-computers to find subsequent digits of pi. A proof of this special case can be found here.

This function is also useful in determining primes, and a Purdue proffesor (my school ) claims he's solved something called the "Riemann Hypothesis", which is basically that the zeros for the Riemann Zeta function (sum (1/n)^x n0->inf) in the complex plane are all contained on the vertical line going through real part = 1/2.

We'll see if his proof is accepted, most people don't seem to beleive him, but he's solved a biggie before so who knows.

Hobbes

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