How much would manipulating the gas price cost?

Hi everyone,

I'm very new the ethereum so please forgive me if this is a very beginner level question. I've been thinking about how gas price works, how it fluctuates depending on requested compute power and so on and now I'm wondering how much it would cost to for example drive the gas price up: How much computational load would be necessary to significantly influence the gas price? Did anyone ever do the math for that and is this a potential security concern for ethereum?