Question

For n=195, by Fermat's theorem an-2
a) d (modn)
b) 1(modn)
c) 0(modn)
d) a(modn)​

Answer 1

1modn

l hope this answer will help you

Answer 2

Concept

According to Fermat's little theorem, the number a p - an is an integer multiple of p for any integer an if p is a prime number.

Given

Given n is 195

Find

We need to find the correct option

Solution

As we know that Fermat's theorem states

$a^{p-1}= 1 (modp)$

Therefore, if a number has this form, its value will be determined as described above.

Therefore ,

$a^{n-2}=2(modn)$

Given n = 195

$a^{195-1}=1(modn)$

Where n = 195

Hence Option B is correct answer

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