Question

Find the prime number p such that 17p+7 is
also a prime number

Answer 1

Answer:

here is the answer

Step-by-step explanation:

So this is what I have, and I know it is incomplete. I know p=19 is the only prime for which 17p+1 is a perfect square but I can't seem to find the connection.

Proof. That is,

17p+1=(x+1)2=x2+2x+1⟹17p=x2+2x=x(x+2),

and we see that 17p can be written as a product of primes, which is unique. We can therefore see that p=19 applies here.

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Answer 2

Answer:

p=2

Step-by-step explanation:

17×2+7=41

41 is prime number

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