Math Help - show that n is an integer number thoery problem

1. show that n is an integer number thoery problem

so we have that a=2 is a misleader
and the question is 1. let p>5 be prime and let n= 4^(p)+1/5 show that n is an integer

2. Re: Show that n is an integer [number theory problem]

$4^p+1$ is divisible by $5$ for any odd positive integer $p,$ not just odd primes. Hint: $4^p+1=(5-1)^p+1.$