Monthly Archives: April 2017

The probability that $s$ positive integers chosen according to the binomial distribution are relatively $r$-prime.

In two papers of Nymann and Leahey from the mid-to-late 70’s, they determined the asymptotics of the probabilities of selecting $k$ relatively prime integers [1] and selecting an integer which is $k$-free [2] according to the uniform and binomial distributions. … Continue reading

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