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Problem #273: Is there a covering system all of whose moduli are of the...

Is there a covering system all of whose moduli are of the form $p-1$ for some primes $p\geq 5$?

Problem Statement

Is there a covering system all of whose moduli are of the form $p-1$ for some primes $p\geq 5$?
Categories: Number Theory Covering Systems

Progress

Selfridge has found an example using divisors of $360$ if $p=3$ is allowed.

Source: erdosproblems.com/273 | Last verified: January 14, 2026

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