I found somthing about the divisibility with Fermat’s Little Theorem and i prove it . I want to know if it is interrseting or not, because it is trivial ? I want also to know if it is already known as a theory or something like that, when it is the case what are the researches should i do to know if it already exists , thank you and tell me what do you think ?
if $(a+b)=p$ and $p$ is a prime number then $(a^p+b)$ , $(a+b^p)$ and $(a^p+b^p)$ are divisibile by $p$. sorry my English is not that good.