List questions from modular-nth-roots | MathQA

Solve $x^{5} \equiv 2$ mod $221\ $ [Taking modular $k$'th roots if unique]

Published on 25 Mar 2026 - 17:45

Does Knowing Two Proper Factors of an RSA Public Key Permit Decryption if $N$ is Not a Semiprime?

Published on 25 Mar 2026 - 14:26

Uniqueness of $n$'th roots $\bmod p\,$ when $n$ is coprime to $p-1$

Published on 25 Mar 2026 - 16:03

Writing integers modulo p as the sum of a quadratic residue and quadratic non-residue

Published on 25 Mar 2026 - 14:25

Is there a formula for $|H_n|$, where $H_n = \{ $ units $u \pmod n$ such that $u^n = u, \}$ is the group of $(n-1)$th roots of unity modulo $n$?

Published on 25 Mar 2026 - 14:25

Is there any way to predict the largest number of consecutive quadratic or cubic residues modulo prime $p$?

Published on 25 Mar 2026 - 14:25