The original version of this story appeared in Quanta Magazine. So far this year, Quanta has chronicled three major advances in Ramsey theory, the study of how to avoid creating mathematical patterns.

I have recently written and released a calculator which handles very large numbers (up to 1075 digits). I'll provide a link below, in case anyone wants context on this question. Actually, someone else ...

The law of large numbers describes how the results of an experiment will get closer to the expected value if a person repeats it a significant number of times and calculates an average. It bears some ...