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Questions where prime numbers play a key-role, such as: questions on the distribution of prime numbers (twin primes, gaps between primes, Hardy–Littlewood conjectures, etc); questions on prime numbers with special properties (Wieferich prime, Wolstenholme prime, etc.). This tag is often used as a specialized tag in combination with the top-level tag nt.number-theory and (if applicable) analytic-number-theory.

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Legendre Symbol of a Very, Very Large Value

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 $ …