Primes and factorials

Number Theory Level 1

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, $2018!=1 \times 2 \times 3 \times \cdots \times 2016 \times 2017 \times 2018.$