As of today, the new largest prime number...

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As of today, the new largest prime number we know of has been confirmed of being [math] 2^{74,207,281}-1 [/math]

It is the 49th Mersenne prime and is 22,338,618 digits long

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>>7795758

And?

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>>7795769

/thread

mathfags still trying to prove their field is useful

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>>7795781

>science and math board

>OP posts thread related to math

Im guessing you're failing your civil engineering courses right OP?

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>>7795758

that's a big ass number

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>>7795781

The discovery of it was useful, GIMPs is used pretty heavily to benchmark computer hardware

And anyway, it's another added bit of human knowledge, why would you be against that?

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>>7795781

>what is encryption

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>>7795809

Anon, by arguing the utility of the find, you are falling into the plebians' rhetorical trap. He always has to have some sort of an application, never appreciating anything for its own sake. Meanwhile, a cuck with a chip on his shoulder, he his obliged to write, speak, and think in my language.

Although I have to admit that a computer bruteforcing a big number isn't such a big deal to me. Hardly knowledge.

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>>7795829

Well fuck you then buddy

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>>7795758

>largest prime number we know of

How computationally intensive is constructing an additional one? Of course Euclid's shit would take forever; can you discuss modern methods for constructing these large primes, how this number was constructed/found and speculate on how soon we'll supplant it?

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>>7795943

>Take all the primes numbers we know of

>multiply them together

>add 1

It's funny you don't recognize this as exactly what I meant by "Euclid's shit" or realize I'm asking about explicit representations like the one in the OP. Sure is summer in here.

Go ahead, multiply every prime from 2 to 2^74207281-1 and add 1. I'll wait.

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>>7795943

Are you retarded?

First, do you know how computationally intensive multiplication is in computers?

Second, do you know how many multiplications we'd have to do to get the end result?

Third, do you know how fucking fast the multiplication time would increase by the amount of digits we would be handling.

Are you literally, completely retarded and ignorant of computation implications?

>>7795995

There is an organization that does this with a more specific algorithm that can just find mersenne primes. Check out the details

http://www.mersenne.org/various/math.php

However, even that takes a bunch of multiplication and that is why they share the burden of all those multiplications between the computers of everyone who volunteers.

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>>7795781

>mathfags still trying to prove their field is useful

basis for every exact science and all engineering fields.

>not useful

kek

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>>7795943

you do realize that would just give us a number that is coprime with those primes in the product? it could still be divisible by other primes not included

for example, pretend we only knew about the primes up to 19

the primorial 2*3*5*7*11*13*17*19 = 9699690

+1 = 9699691 = 347*27953

not prime

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>>7795781

lol

i love this board.

goodnight guys.

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"I proved there is no largest prime. Two millennia later, these morons are *still* looking for it. I ain't even mad."

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>>7795769

shhhhh, don't take away their fun, it hurts them

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>>7795758

I'm looking at the trend on the graph.

Why is there an inflection point around 2000?

I'd intuitively expect that graph to be exponential (and that's roughly what it is until 2000).

Is it because the digits in the largest known prime correlate more with advances in number theory than with CPU power available?

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