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Erdős Problem 386 #703

@mo271

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@mo271

What is the conjecture

https://www.erdosproblems.com/386

Let $2\leq k\leq n-2$. Can $\binom{n}{k}$ be the product of consecutive primes infinitely often? For example
$$\binom{21}{2}=2\cdot 3\cdot 5\cdot 7.$$

Status: open

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