A Contest Problem ll

Number Theory Level 3

Let $p_1,p_2,p_3,\dots,p_n$ be distinct prime numbers greater than 3, then

$\large 2^{p_{1}p_{2}\cdots p_{n}}+1$

has at least ... divisors (pick the correct answer to fill in the blank space).

4^{n^2}

4

4^{\frac{1}{n}}

4^n

0 solutions

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