Answer
More than.
Work Step by Step
The potential differences across each resistor $R_1$ and $R_2$ are the same. Using Ohm's law, $V=IR$ can be changed to $I=\frac{V}{R}$. So, as resistance increases (while potential difference remains constant), current through the resistor decreases. Since $R_1>R_2$, the current through $R_2$ must be more than the current through $R_1$.