Question

Show that 4th power of every number is of the form 5k + 1 where k is any positive
integer​

Answer 1

Answer:

Euler’s Totient Theorem states that any number which is coprime with 5 has a fourth power of that form, since ϕ(5)=4 .

In fact, for any prime number p , any number which is not a multiple of p has a (p−1) th power of the form pk+1