Primes and factorials

Is there a prime number $$p$$ that satisfies this inequality?

$2018!+2 \le p \le 2018!+2018$

Note: $$2018!$$ is the factorial of 2018. That is, $$2018!=1 \times 2 \times 3 \times \cdots \times 2016 \times 2017 \times 2018.$$

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