On Feb 2, 3:35 am, Paul <pepste...@gmail.com> wrote: > I conjecture that, for all integers N > 1, there exists an integer E > such that E can be expressed as the sum of two primes in more than N > different ways. > > Is this conjecture true, false, or unknown? > > Is it equivalent to a better-known conjecture? Has exactly the same > conjecture already been made and given a standard name? > > Thank you, > > Paul Epstein
I seem to recall some results (from the 60s or 70s) to the effect that on average the number of representations is unbounded, that is, the larger the number the more representations. Unfortunately I can't give you any exact references.