Solution
= Solution
This statement can be false. For example, $m=10$ is even and
$$
F_{10}=55,
$$
but the odd prime divisor $p=5$ satisfies $p\equiv1\pmod4$, rather than $3\pmod4$.
= Solution
This statement can be false. For example, $m=10$ is even and
$$
F_{10}=55,
$$
but the odd prime divisor $p=5$ satisfies $p\equiv1\pmod4$, rather than $3\pmod4$.