Question 136
The number $2027$ is prime. For $i = 1, 2, \ldots, 2026$, let $p_{i}$ be the smallest prime number such that $p_{i} \equiv i \pmod{2027}$. Estimate $\max \left(p_{1}, \ldots, p_{2026}\right)$.
Submit a positive integer $E$. If the correct answer is $A$, you will receive $\left\lfloor 25 \min \left((E / A)^{8},(A / E)^{8}\right)\right\rfloor$ points. (If you do not submit a positive integer, you will receive zero points for this question.)
Submit a positive integer $E$. If the correct answer is $A$, you will receive $\left\lfloor 25 \min \left((E / A)^{8},(A / E)^{8}\right)\right\rfloor$ points. (If you do not submit a positive integer, you will receive zero points for this question.)