In trying to solve Goldbach's conjecture, I came up with the following:
1. Primes are known to thin out to infinity.
2. Of the two primes that make up an even number, one is found between zero and 1/2N, the other is found between 1/2N and N, where N is the even number being tested.
3. At some point, we should expect to find a gap equal to 1/2N and occupying the region from 1/2N to N.
4. Goldbach's conjecture is disproved because no prime will reside between 1/2N and N.
Update: #3 is a conjecture, unproven.
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