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If p be a prime, p > 3 and let x be the ...

If p be a prime, p > 3 and let x be the product of positive integers `1,2,3….., (p - 1)` , then consider the following statements:
1. x is a composite number divisible by p.
2. x is a composite number not divisible by p, but some prime greater than p may divide x.
3. x is not divisible by any prime (p - 2).
4. All primes less than (p -1) divide x.
Of these statements :

A

1 and 2 are correct

B

2 and 3 are correct

C

3 and 4 are correct

D

4 alone is correct

Text Solution

Verified by Experts

The correct Answer is:
D
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