Answer :
To prove that 17 is the only prime of the form pq+qp, we assume that there exists another prime x of this form. However, by considering the parity of x, we conclude that no other primes satisfy the given condition.
To show that 17 is the only prime of the form pq+qp, where p and q are prime, we need to prove that no other primes satisfy this condition.
Let's assume that there exists another prime, say x, which can be expressed as pq+qp, where p and q are prime.
Since both p and q are prime, their product p*q will also be a prime number.
So, we can write the expression as 2(p*q), where p*q is a prime number. But this implies that x is an even number and thus cannot be prime.
Therefore, our assumption is incorrect, and 17 is indeed the only prime that can be expressed as pq+qp.
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