Calculating pi in Factorio (I suggest watching at 1.5x speed as my typing is slow at real-time speed):
The method used to calculate pi is the Bailey-Borwein-Plouffe_formula, which can find the th bit of pi in without needing any information from the earlier bits of pi. It also does not require multi-precision arithmetic: when implemented with 32-bit integers, the probability it will get a bit wrong is about 1 in (and it would be possible to detect if there is a potential error for a given bit, although I did not implement this). This feature makes it well-suited for implementing in Factorio.
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