Primes at a glance

Let $N = B - L$, $B \geqslant \vert L\vert$, $\gcd (B,L) = 1$, $p\vert BL$ for all primes $p \leqslant \sqrt N$. Then N is 0, 1 or a prime. Writing N in this form suggests a primality and a squarefreeness test. If we also require that when the prime $q\vert BL$ and $p < q$ then $p\vert BL$, we say that $B - L$ is a presentation of N. We list all presentations found for any N. We believe our list is complete.