  Bob Hough recently disproved a long-standing conjecture of Paul Erd\H{o}s
regarding covering systems. Inspired by his seminal paper, we describe analogs
of covering systems to Boolean functions, and more generally, the problem of
covering discrete hyper-boxes by non-parallel lower dimensional hyper-subboxes.
We point out that very often primes are red herrings. This is definitely the
case for covering system, and who knows, perhaps also for the Riemann
Hypothesis.
