Humidity is the master switch, not food
Silverfish are unusually dependent on moisture for a household insect. They lose water through their cuticle readily, and per research cited by Pest Management Professional (Sweetman 1939), the common silverfish reproduces best between roughly 71.6 and 80 degrees Fahrenheit and 75 to 97 percent relative humidity — a narrow, distinctly damp comfort zone. Critically, their eggs and nymphs require high humidity just to develop; without it, a population simply doesn't get established, regardless of how much starchy paper or fabric happens to be nearby.
That's the real reason bathrooms and basements are the two rooms where silverfish concentrate: they are the most reliably humid spaces in an ordinary house, thanks to showers, plumbing, condensation, and, in many basements, direct contact with damp earth or slab. An adult silverfish can survive nearly a year without food as long as water is available, which tells you plainly which resource actually controls where they live.

