Is this a known conjecture? Given odd primes $p,q$ with $p + q$ sufficiently large, must there exist a different pair $p',q'$ with $p+q = p'+q'$?

Question

Conjecture:

There is a natural number $N\in\mathbb N$ such that given odd primes $p,q$ with $p+q>N$ there are primes $p',q'$ where $p' \notin \{p,q\}$ such that $p+q=p'+q'$.

Is this known?

Answer 1

Restricted to odd primes, the conjecture is that the number of Goldbach partitions is 0 or at least 2, with finitely many exceptions. The Goldbach conjecture is that this number is never 0.

See also Goldbach's comet.

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Not restricted to odd primes, as lulu points out in the comments, the conjecture is false.