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Looking through some old notes of mine from two years ago I found some crude notes writing what amounted to the statement that for any prime $p\equiv 1\bmod 4$ one could express for any odd integer $p\...

This paper by NC Ankeny mentions that " S. Chowla has proved that there exist infinitely many primes $k$ where the first $c_1\log k$ residues $(\bmod k)$ are all quadratic residues". I recently ...

I'm trying to use FLINT (Fast Library for Number Theory) to calculate the Legendre Symbol of the following: $$\left(\frac{n! + 1}{p}\right)$$ In my case, $p$ is a positive, odd prime (specifically $...