Answer: p = 3.
Explanation:
Ok, this must be:
p and p^4 + 8
ok, it may be useful to remember the first prime numbers:
2, 3, 5, 7, 11, 13...
So let's play with those and see what happens, this is solving a problem by brute force, this means that we will input those values in the equation p^4 + 8 and see if the result is also prime:
First, p = 2 is not the solution, because 2^4 + 8 = 24: not prime.
now let's try p = 3.
3^4 + 8 = 81 + 8 = 89, and 89 is a prime number, so the solution is p = 3.