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MathNet 2009-part-05 — 172 problems (EN–VI) Question 78

Math Olympiad Vault · MathNet 2009-part-05 — 172 problems (EN–VI)

Question 78

Call an integer $n\gt 1$ radical if $2^{n}-1$ is prime. What is the 20th smallest radical number? If $A$ is your answer, and $S$ is the correct answer, you will get $\max \left(25\left(1-\frac{|A-S|}{S}\right), 0\right)$ points, rounded to the nearest integer.