This is a homework question of mine, I am not searching for the solution but rather what it means. It seems pretty straight forward but I am a little confused as to what the $k$ in $1 < k < n-10^6$ is supposed to be.
Here is the question: Consider the number $n = 2^{1000000000000000000000000000000000} + 1$ . Suppose that it is known that none of the numbers $1 < k < n-10^6$ divide $n$ . Does it follow that $n$ is a prime number?
Again I am not asking for solutions but rather what values $k$ may take. Thank you
The statement $1 \lt k \lt n-10^6$ shows the range of $k$. It can range from $2$ to a million and one below $n$. You are given that no $k$ in this range divides $n$.