How many ways we can represent 50 as the sum of two primes?

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The discussion focuses on the representation of 50! as the sum of two prime numbers. It references A062311 from the Encyclopedia of Integer Sequences, which documents the number of ways to express n! as a sum of two primes up to n=13. Notably, there is no established formula for manual calculation, and the last five terms were added in 2008, indicating ongoing research in this area.

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in how many ways we can represent 50! as the sum of two primes?
 
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A062311, in the Encyclopedia of Integer Sequences, lists the first 13 "number of ways writing n! as a sum of two primes", that is it goes as far as 13!, it does not have a formula for a "reasonable" calculation by hand, and the last 5 terms were added as recently as 2008! (my last ! is an exclamation mark)
 
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