[cr0sh]

I would publish it immediately, after checking as best I could that it was actually a working solution. But here's the twist:

I would publish it in such a way that it would appear to have been released/solved by the worst person I didn't like; a world-known dictator or similar would be ideal. Nobody would believe it, but maybe their narcissism wouldn't let them not play along. It very well might screw their life over in ways unknown.

The uproar around the world would be very interesting to watch.

But I'd definitely make sure I wasn't connected in any way - you would likely have a target on your head (because if you could do that - what else could you know or do?)...