
02300748
j
1993f.03091
Cohen, G.L.
On relatively prime numbers and oil drops.
Int. J. Math. Educ. Sci. Technol. 24, No. 3, 417422 (1993).
1993
Taylor \& Francis, Abingdon, Oxfordshire
EN
F65
riemann's zeta function
doi:10.1080/0020739930240311
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 oildrop experiment. (orig.)