Re: Special nature of e and pi?

ryan wrote:
For instance, does anyone know where this
came from?

pi^4 + pi^5 = e^6

I don't. That's pretty crazy.

Unless this relation has been proven with power series, I wouldn't
believe it. The power series I saw for e at Mathworld all use
factorials in the denominator, while none of them for pi do. [
http://mathworld.wolfram.com/e.html ;
http://mathworld.wolfram.com/PiFormulas.html .] Unless there were some
way to either equate one of the pi-formulae to a factorial expression
raised to a specific exponent, or some way to squeze a factorial
expression out of one of the series for pi, I wouldn't trust any such
relationship, except as an approximation.

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