Despite searching in many ways, I have not been able to find any information regarding whether or not powers of 2 can be demonstrated to satisfy the Goldbach condition, i.e. always being expressible as the sum of two primes. Powers of 2 are a rather small subset of all even numbers, but they have the unique property of being composite but containing no odd prime factors. Has anyone come across commentary, or better, proof, regarding the conformity of powers of 2 to the Goldbach condition?
2026-04-18 04:22:27.1776486147
What is known about powers of 2 satisfying the Goldbach condition?
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