Answer :
Answer:
(2,5), (2,7)
Step-by-step explanation:
Because all prime numbers besides two are odd, and and odd number plus an odd number is an even number, there should be no solutions, unless, one of those numbers is not odd. In this case, there is only one non-odd prime number, that being two. So now that you know that one of the numbers is two, and has to be two, you have a little space finding the next number. The only restrictions its that its prime, if you add two you will get another prime number, and if you subtract two you will also get a prime number. In this case, both five and seven work. Some may say that three also works, but if you subtract two from three you get one, which is considered a special number, along with zero. Hope this helped! :D
Couple prime number of given quastion is (p,q)=(3,2) .
What is prime number?
A prime number is defined as a whole number whose only factors are 1 and itself.
According to the given condition
Let, p=3 and q=2
⇒ p-q= 3-2 = 1 (prime)
⇒p+q= 3+2 = 5 (prime)
Now, p=5 and q=3
⇒ p-q= 5-3 = 2 (prime)
⇒p+q= 5+3 = 8 ( not prime)
(p,q)=(3,2) is the unique solution
Learn more about prime numbers
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