This is a quiz from Murderous maths, to find the (only) prime between 1,000,000 and 1,000,020.
Without a computer I could only get zoom down to $1000003$, $1000007$, $1000009$, and $1000019$.
Is there a way to find the prime without computer (and google)?
I'm going to have to undercut @HagenvonEitzen's suggestion. The least prime factors that refute the incorrect options are $29|10^6+7,\,293|10^6+9,\,47|10^6+19$. The middle one is especially laborious to find by hand. Without a computer, however, that's a much faster approach than using FLT with any small base.