\input zb-basic
\input zb-matheduc
\iteman{ZMATH 1993f.03091}
\itemau{Cohen, G.L.}
\itemti{On relatively prime numbers and oil drops.}
\itemso{Int. J. Math. Educ. Sci. Technol. 24, No. 3, 417-422 (1993).}
\itemab
The probability that n positive integers, chosen at random, are relatively prime is 1/Z(n), where Z is Riemann's function. This is well known when n=2, but not so well known otherwise. The proofs and associated discussion of the statement allow us to introduce many aspects of elementary number theory. Furthermore, there is an interesting application to Millikan's famous oil-drop experiment. (orig.)
\itemrv{~}
\itemcc{F65}
\itemut{riemann's zeta function}
\itemli{doi:10.1080/0020739930240311}
\end