New prime just dropped. The Great Internet Mersenne Prime Search (GIMPS), a group of volunteers who search for prime numbers that are (2 to the...
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
I don't know why Nvidia is mentioned at all, except the hardware. That's cool that this person found the number, but Nvidia didn't do anything except employ them once upon a time and make a product that does a thing. It's not justified to celebrate the maker of a stove when a soup kitchen feeds everyone.
This is a win for Luke and GIMPS in general, and I'm happy for them.
This is the first such prime that was discovered using GPU cloud computing. It's not just an incredible new discovery, but also a demonstration of what this type of hardware network may be capable.
I didn't use to do this, but with the world being on fire I feel like I should ask whether the amount of energy put into finding huge primes is really worth it.
They mention nvidia because that’s the hardware used to find/prove.
I find it quite relevant to have the person/ group, the strategy or method, and the device used (including chipsets). Most articles on prime number discovery will mention all these things.
The fact that he worked there seems pretty irrelevant tho.
We define people by their labor value in capitalist societies. It only makes sense headlines would refer to people thru the lens of their previous employer.
No first time ever. This isn’t a supercomputer, it’s a distributed cloud network that they’re referring to as a supercomputer because it has a lot of power. It’s not a supercomputer in any other sense of the word, as it’s set up on cloud providers around the globe rather than in one location in the same room.
Legit question: how is that different conceptually to the random individuals all running Prime95? Could that not also be referred to as a cloud supercomputer?
that does happen to be one of the defining characteristics of mersenne primes.
And searching for mersenne primes happens to be the easiest known way to find extremely large prime numbers (via the Special Number Field Sieve I believe)
It feels like people are celebrating this but hating on ai developments. not sure if these people are hypocritical or if that's two different groups of people.
I don't understand this and therefore it's stupid and pointless. Fuck you math elitist assholes with your so-called "large" prime numbers spending billions of dollars that could be used to make my life better. I don't comprehend this at all and there it does not matter. The end.
Yeah, fuck those assholes that pursue science for the benefit of humanity! I do not see why anyone should be allowed to be creative if I do not see the benefit for me in particular.
This is a very dangerous way of thinking. You cannot tell at the time of discovery if specific research will be useful or not down the line. You need to advance the research in all directions, even if some of them seem silly or useless, or else you will handicap your progress in other fields which you didn't see the connection with at first.
Many encryption algorithms rely on the assumption that the factorizations of numbers in prime numbers has an exponential cost and not a polynomial cost (I.e. is a NP problem and not P, and we don't know if P != NP although many would bet on it). Whether there are infinite prime numbers or not is really irrelevant in the context you are mentioning, because encryption relies on factorizing finite numbers of relatively fixed sizes.
The problem is that for big numbers like n=p*q (where p and q are both prime) it's expensive to recover p and q given n.
Note that actually more modern ciphers don't rely on this (like elliptic curve crypto).
There are infinite prime numbers. This has been known for thousands of years. You can find numerous proofs of this online, and go through them until one makes sense to you.
Also, quantum computers are on track to make division-based cryptography useless in the next decade or two. (Note that this only affects public key cryptography, and not shared key cryptography. So your online backups should be safe as long as you have a password for them.)
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.