I happily keep eggs in the box on my kitchen worktop for maybe a couple of weeks without them going bad. They'll happily last longer, but the eggs won't be at their best.

Incidentally, I heard somewhere that using a ridge to crack eggs on (like the edge of a frying pan) isn't best as that can possibly drive a bit of poopy shell into the interior though if it's just about to be cooked and eaten then that's less problematic. I use the flat kitchen top to crack the shell instead which leads to the occasional amusing outcome of cracking it too hard and dumping the whole egg onto the worktop.

When we've had "too many" hens, we've had multiple large salad bowls full of eggs on the countertops. And that's after overwhelming our friends and neighbors.

They will easily last 4-6 weeks with no major degradation (i.e. still good for omelets, but use the freshest ones for poaching).

The forest predators eventually help moderate our egg surplus. Free range comes with risks, alas.

Interesting point about ridge-cracking. I'd never thought about it, but it makes sense and I will mend my ways! :)