The Legendre symbol $\left(\dfrac{5}{p}\right)$ is used in the Fibonacci primality test. I understand its significance, but why did 5 show up and not some other prime? Is it because $p$ is written in base-10 or is it due to some property of Fibonacci/Lucas numbers?
2026-03-26 17:52:54.1774547574
Legendre symbol in the Fibonacci primality test
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