New largest prime number found See all 41,024,320 digits [video]
6 comments
·October 21, 2024gnabgib
gus_massa
In this 2 days it changed from "probable" to "confirmed". Anyway, I don't know if there is something new to say. Anyway^2, this video explain a lot of details about how they found the number that were not explained in the old post. (New probabilistic algorithm, then confirm with the (old?) deterministic algorithm, use a distributed "cloud" of computer of volunteers to make all the tests).
PS: [spoiler alert?] After watching the video I realized the background is real. I was expecting a joke or something. I'm too used to Zoom and fake backgrounds :( .
andrewstuart
Is there any practical application of a new prime number?
sshine
Prime numbers with practical applications do get discovered. Most notably, I suppose: 2^64 - 2^32 + 1:
https://cp4space.hatsya.com/2021/09/01/an-efficient-prime-fo...
There are annual prizes on performing certain computations efficiently in prime fields for this prime:
But if there is a practical application to very large primes: I don’t know. 40 million digits sounds very inefficient unless you always operate in sub-groups.
dmitrygr
"prime number digits" -> "video"
thank you, i hate it
cr125rider
Bad take. The Stand-Up Maths channel is great.
Discussion (355 points, 2 days ago, 118 comments) https://news.ycombinator.com/item?id=41858024