Your goal is to write a program that prints a number. The bigger the number, the more points you'll get. But be careful! Code length is both limited and heavily weighted in the scoring function. Your printed number will be divided by the cube of the number of bytes you used for your solution. So...

Some of you may be familiar with the BigNum Bakeoff, which ended up quite interestingly. The goal can more or less be summarized as writing a C program who's output would be the largest, under some constraints and theoretical conditions e.g. a computer that could run the program. In the same spi...

I was recently fiddling with the mertens function and realized I could do some manipulations on it. Consider the series: $$ \sum_{r=1}^\infty \mu(r) x^r = f(x)$$ This satisfies: $$ \sum_{r=1}^\infty f(x^r) = f(x) + f(x^2) + \dots = x $$ We will use $x = 1 - \epsilon = 1- \frac{1}{n}$ wh...