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Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.

2 votes

Not especially famous, long-open problems which anyone can understand

Here are 2 problems related to cyclotomic polynomials that are unsolved : Let $n,m>1$ and $$A(x) = \Phi_n(x) + \Phi_m(x)$$ If $n,m$ are distinct odd primes then $A(x)$ is irreducible. If $A(x)$ fact …