Y by GoJensenOrGoHome, itslumi, Adventure10, cubres, NicoN9
For a positive integer
, consider the
fractions
The product of these fractions equals
, but if you reciprocate (i.e. turn upside down) some of the fractions, the product will change. Can you make the product equal 1? Find all values of
for which this is possible and prove that you have found them all.




