Lemoine's Conjecture

Conjecture
Every odd integer $n$ such that $n > 5$ can be written as:
 * $2 p_1 + p_2$

where $p_1 \le p_2$ and both $p_1$ and $p_2$ are prime.

Also known as

 * Levy's Conjecture, for


 * Some sources cite this as the Becker-Sievert Conjecture, after an internet troll who insists not only that he invented it, but also that he has used it to proved the Goldbach Conjecture. One is advised to be sceptical, and forgiven for being filled with utter contempt.