I have written some programs in Java to calculate mathematical constants such as e and π.

pi
digits coming soon

Pi is the ratio of the circumference of a circle to the diameter. It is used in trigonometric functions, and some other stuff.
Wikipedia
Mathworld
first million digits

e
The first 10,000 digits of e. I have 2 million digits linked below, but my 10,000 digits are better. ;)

e is my personal favorite number. It is the center of many important aspects of mathematics. It is important for derivatives, which I don't know much about. It is involved in interest with continuous compounding. It is used to guess the number of primes up to some point. And it is used in the famous equation, e^pi*i + 1 = 0.
Wikipedia
Mathworld
first 2 million digits

golden ratio
The first 10,000 digits of the golden ratio.

The golden ratio, written with the Greek letter phi, is another very important mathematical constant. It is its own reciprocal plus one (phi - 1 = 1/phi). F(n) / F(n-1) converges towards the golden ratio, where F(n) is a fibonacci number.
Wikipedia
Mathworld