Discussion

Explanation:

Using Fermat’s Little Theorem we know, Remainder of a(p-1) when divided by p is 1.

where p is a prime number, a and p are co-primes.

Here, a = 5 and p = 13.

∴ Remainder when 512 is divided by 13 = 1.

⇒ R[587/13] = R[512×7+3/13] = R[512/13]7 × R[53/13] = 1 × 8 = .

Hence, 8

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