Let P(n)=n4+4P(n) = n^4 + 4P(n)=n4+4. Find gcd(P(n),P(n+1))\text{gcd}(P(n), P(n+1))gcd(P(n),P(n+1)) for any integer nnn.
Always 1
Always 5
Depends on nnn
Always 2