According to GIMPS, this is the first time a prime number was not found by an ordinary PC, but rather a “‘cloud supercomputer’ spanning 17 countries” that utilized an Nvidia A100 GPU chip to make the initial diagnosis. The primary architect of this find is Luke Durant, who worked at Nvidia as a software engineer for 11 years
And this helps humanity and mathematicians by…nothing. It’s absolutely nothing.
If we can analyze larger primes, we can generate larger primes which has applications in math, particularly cryptography and other areas, not even beginning to look at number theory. Specifically being able to verify them over a cloud is useful, we can generate them quicker and worry about their safety less. https://en.wikipedia.org/wiki/Hensel’s_lemma has uses in physics actually.
Oh, you mean you don’t understand it, gotcha.
Yes, and Bayesian statistics are useless too, they’re all about things that have already happened!
No. I understand it plenty. Quantifying shit to the Nth degree doesn’t fix anything. It makes math more precise, but math that will never be used for any practical applications.
Please inform me about the ways this information and “breakthrough” will be used in a meaningful way that matters at all.
They literally just told you. Prime numbers have applicability in cryptography.
And the highest degree of that is not used. So…
Ummmmm…… what?
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Yes. The amount of effort and resources used to do this shouldn’t just be a fucking waste.
This is a fucking waste. Proper fucking waste.
Nobody will use this math in our lifetime. Probably not the next generation either. We’re incapable of using it in any meaningful way except bragging rights.
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It’s not a presumption when there is no basis for it all. It’s a fucking fact.
If there was a segment of society that said “Hey, we really want to do this thing, but we really just need the highest prime number possible! Why won’t anyone find that for us?” Then I’d say OK.
You’ve got a guy out to beat a record and get his name on the books here. Useless.
That segment exists. That’s literally why they are continually trying to find larger primes.
Again, to what use?
No idea, I’m neither a cryptographer nor mathematician. All I know is that they’re used somehow. Something about multiplying two large primes to get a big number. Apparently it’s a challenge to factor that number to derive the original primes, and that challenge is what makes breaking a cryptographic algorithm difficult.
Any cryptography you’re likely to encounter uses fixed size primes over a residue ring for performance reasons. These superlarge primes aren’t relevant for practical cryptography, they’re just fun.
Well allow me to retort:
There isn’t a CPU on this planet that will digest this number in any meaningful way out to this decimal. Not as a whole at least.
That’s why this was clearly computed on a GPU. They’re good at that.
We also have news of the first stages of prime numbers being cracked on Quantum Computers with amazing efficiency. So whatever this number is will be useless soon.
Finally! Someone who understands! If it’s not something we can understand, it’s not really math.