# A number theory problem by anandmay patel

Number Theory Level 2

Let $$P_i$$ denote the $$i^\text{th}$$ smallest prime number.
Can $$\displaystyle \left(\prod_{j=1}^m P_j \right) + 1 = 2\times3\times5\times \cdots \times P_m + 1$$ ever be a prime number?

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