Can you, given a large number N, find a, b, c such that ax^2 + bx + c = 0 has at least N roots? All of this is in any mod you choose.
2026-03-31 14:56:38.1774968998
Modulo Quadratic Polynomials
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For any $N$, the congruence $x^2\equiv0\pmod{N^2}$ has the $N$ solutions $0,N,2N,\dots,(N-1)N$.