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“That hash is 1024-bit (or longer) and is impossible to crack in any realistic or near-term time frame.”

Done. People that say such nonsense as that have no clue what the NSA has or can do and simply repeat what other ignorant schmucks say on the Internet. The NSA has prime numbers well past a billion digits and can read your 1024 encrypted message faster than you can. They have a chip plant that is amazing and they do not use brute force computers to crack codes or messages. It is all math and wired in silicone, operating in frequencies that boggle the mind.

So what you're telling me is that the NSA already has quantum-computing clusters doing this? Are you daft? You're proposing that the NSA, the Federal government, has broken through several decades of problems that private tech industries and universities have been unable to do so.

Theoretical quantum computers generate so much heat that conventional HVAC can't keep them cool. It's only ever been done in a lab and has never been done past a few million primes per hour due to degradation of the processing media. You're proposing that the government has destroyed Moore's Law and has come up with something that scientists and researchers have been trying to solve since the late 90s. Why wouldn't they sell that technology and not only net Nobel after Nobel prize but usher in a new era of human discovery?

The worlds most powerful supercomputers can't crack 1024-bit encryption in a timely manner, what makes you think that a multi-acre datacenter running the equivalent of IBM Z11 mainframe clusters could do it for ALL encrypted traffic?

Check your facts, CodeToad.

The NSA has prime numbers well past a billion digits and can read your 1024 encrypted message faster than you can.

You know that this line is gobbledygook right? 2^57885161 − 1 is a quite large prime number (57,885,161 digits). It cannot help you crack someone's message unless they are stupidly using that particular fairly well known (in some circles) prime number.

They have a chip plant that is amazing and they do not use brute force computers to crack codes or messages.

This is a silly assertion completely lacking in evidence.

Offer some proof and perhaps you'll be believed.