To be clear, it is proven that there are infinitely many primes, and infinitely many of them are larger than the one that was recently found.
We just don't know if there are any undiscovered primes which are one less than a power of 2, which is the special form of the new one.
@mattyb which side does that apply to? Large primes are not found by lone geniuses, and if aliens know them they sure as hell aren't telling us. It's also mass human collaboration.
@IasonKoukas actually I've remembered it's not just prestige, there's a cash prize as well. At least it existed for previous primes, I don't know if whoever gave it still does.
On the other hand, all that it costs each person to say the prime is a one-shot five-minute span. Looking for the primes requires both fixed and ongoing costs - machines and power - for years and years on end, and the vast majority of the people involved won't win anything. The ones that contribute factoring work to the project can't win the prize.
Maybe there's the conception that this prime search is something like the LHC. It's not. It's mostly pointless, same as saying it.