Wednesday, 23 November 2016

In the definition of Carmichael number, why is it necessary to have (b,n)=1?

In number theory, a Carmichael number is a composite number n which satisfies the modular arithmetic congruence relation b^{n-1}\equiv 1\pmod{n}



for all integers $1

In the definition of Carmichael number, why is it necessary to have (b,n) = 1?



I need to understand this point, please.

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