Maillet's conjecture on even numbers as differences of primes

Let $\mathbb{P}$ denote the set of primes. An even number is an element of $2\mathbb{N}$. Maillet's conjecture. Every even number is the difference of two primes. This is a foundational difference-of-primes conjecture and is weaker than the stronger conjectures of Kronecker and Polignac described subsequently; its resolution is not established in the supplied text.