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Remainder (Posted on 2003-10-16) |
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If 'p' be a prime, then what is the remainder when (p - 1)! is divided by p?
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Submitted by Ravi Raja
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Rating: 3.8889 (9 votes)
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Solution:
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The solution to this problem is that the remainder in such a case will always be equal to (p - 1), which is 'WILSON'S THEOREM' which states that: 'p' divides [(p - 1)! + 1] if and only if 'p' is a prime and therefore, whenever (p - 1)! is divided by 'p', the remainder thus obtained will be equal to (p - 1). |
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