Can a Carmichael number be even?
I know that a Carmichael number is a positive composite integer $n$ such that $a^n\equiv a \pmod n$ for all integer $a$. So what does I need to prove or disprove above question?
2026-03-26 06:18:50.1774505930
Can a Carmichael number be even?
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No. If $n\geq 4$ is even, then $(n-1)^{n-1} \equiv (-1)^{n-1} \equiv -1 \pmod n$