Rational Numbers

A rational number is a quotient of two integers. For our purposes, we will restrict ourselves to positive integers and rational numbers in the interval (0, 1). In this part of the website, we explore some of the properties of rational numbers, especially regarding prime and coprime integers.

Topics

References

Stack Exchange (2022) Probability that two random numbers are coprime is 6/π2
https://math.stackexchange.com/questions/64498/probability-that-two-random-numbers-are-coprime-is-frac6-pi2

Wikipedia (2023) Basel problem
https://en.wikipedia.org/wiki/Basel_problem

Lei, J., Kadane, J. B. (2019) On the probability that two random integers are coprime
https://arxiv.org/abs/1806.00053

Lyons, C. (2016) The secret life of 1/n: A journey far beyond the decimal point. Mathematical Enthusiast
https://scholarworks.umt.edu/tme/vol13/iss3/3

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