This number is a probable-prime (likely to be a prime but we have not (re-)proven it on this site).
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The only titanic emirp known of the type p#/(2*q*r) + 2*q*r; this case is for p=2383, q=137, r=811. Notice that the arithmetic expression at the left goes through the primes 2 to 2383 just once. [Rivera]