Content deleted Content added
Line 25:
:A) <math>y_j = x_N</math> for some <math>j</math>. If the sequences <math>\{x_i\}</math> and <math>\{y_j\}</math> "collide" in this manner, then we have:
::<math>x_N = y_j \Rightarrow \alpha^{b+d} = \beta\alpha^{d_j} \Rightarrow \beta = \alpha^{b+d-d_j} \pmod{n} \Rightarrow
x \equiv b+d-d_j \pmod{n
:and so we are done.
| |||