One conjecture stronger than another?

1. Nov 5, 2015

UncertaintyAjay

So, I was reading the Wikipedia page for Legendre's Conjecture and I came across this:
"Two stronger conjectures, Andrica's conjecture and Oppermann's conjecture"
My question is this: What does it mean for one conjecture to be 'stronger' than another?

2. Nov 5, 2015

Staff: Mentor

Usually it means that if the stronger conjecture is true then the weaker one is true as well. But they are not equivalent.