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Subham Sharma

· started a discussion

· 1 Months ago

Solution jb sahi nhi de skte ho tb galat v mt diya kro

Question:

What is the remainder when 2100 is divided by 101 ?

Options:
A)

1

B)

11

C)

99

D)

100

Solution:

Ans: (a)

  

Arjun Yadav

· commented

· 1 Months ago

Fermat's little theorem states that if p is a prime number, then for any integer a, the number a p − a is an integer multiple of p.

For example, if a = 2 and p = 7, 27 = 128, and 128 − 2 = 7 × 18 is an integer multiple of 7.

If a is not divisible by p, Fermat's little theorem is equivalent to the statement that a ^(p − 1) − 1 is an integer multiple of p, or in symbols

For example, if a = 2 and p = 7 then 26 = 64 and 64 − 1 = 63 is thus a multiple of 7.

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