2022 AMC 12B Problem 15


One of the following numbers is not divisible by any prime number less than 10.10. Which is it?

(A) 26061(B) 2606+1(C) 26071(D) 2607+1(E) 2607+3607\textbf{(A) } 2^{606}-1 \qquad\textbf{(B) } 2^{606}+1 \qquad\textbf{(C) } 2^{607}-1 \qquad\textbf{(D) } 2^{607}+1\qquad\textbf{(E) } 2^{607}+3^{607}


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

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Problem Tags: Number theory

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Category: AMC 12B
Points: 3
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