Everybody =) Help me.
Let be given an open interval\(\left(\alpha;eta\right)\) with \(eta-\alpha=\frac{1}{2007}.\)Determine the maximum number of irreducible fractions \(\frac{a}{b}\) in \(\left(\alpha;eta\right)\) with \(1\le b\le2007?\)
A) 1002
b) 1003
C) 1004
D)1005
E)1006