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2^57885161 minus 1 is prime
#1
2^57885161 minus 1 is prime
257885161-1 is prime

Newest biggest prime number is more than 17 million digits long. The 22 megabyte text file is available here.

Just in case you should need it for something...
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#2
RE: 2^57885161 minus 1 is prime
Why does it start with a 5? Why not 9? I've just thought of a higher number...

Okay I'm a retard.
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#3
RE: 2^57885161 minus 1 is prime
Is there a proof for finding the next prime number?
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#4
RE: 2^57885161 minus 1 is prime
(February 7, 2013 at 2:40 pm)CapnAwesome Wrote: Is there a proof for finding the next prime number?
Don't know but there is a $50,000 prize for finding the first one with 100 million digits.
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#5
RE: 2^57885161 minus 1 is prime
(February 7, 2013 at 10:32 am)popeyespappy Wrote: 257885161-1 is prime


Oh yeah? Prove it! /runsaway
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#6
RE: 2^57885161 minus 1 is prime
(February 7, 2013 at 9:40 pm)Cthulhu Dreaming Wrote:
(February 7, 2013 at 10:32 am)popeyespappy Wrote: 257885161-1 is prime
Oh yeah? Prove it! /runsaway

Divide This!
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#7
RE: 2^57885161 minus 1 is prime
(February 7, 2013 at 9:44 pm)popeyespappy Wrote:
(February 7, 2013 at 9:40 pm)Cthulhu Dreaming Wrote: Oh yeah? Prove it! /runsaway

Divide This!

F. Didn't show your work.

Angel
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#8
RE: 2^57885161 minus 1 is prime
(February 7, 2013 at 2:40 pm)CapnAwesome Wrote: Is there a proof for finding the next prime number?
No, there isn't, that's why people can "discover" prime numbers. If there was an equation, we'd know all of the prime numbers already.
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#9
RE: 2^57885161 minus 1 is prime
(February 12, 2013 at 8:35 am)treeroy Wrote:
(February 7, 2013 at 2:40 pm)CapnAwesome Wrote: Is there a proof for finding the next prime number?
No, there isn't, that's why people can "discover" prime numbers. If there was an equation, we'd know all of the prime numbers already.
To be fair, all you have to do is add two, see if anything less than that number divides said number... lather rinse repeat. But (Tib: are there better procedures?) this is of O(n!) and that makes babies cry.

But the computational difficulties associated with finding factors of really big numbers is why we love primes for cryptography and the like.
So these philosophers were all like, "That Kant apply universally!" And then these mathematicians were all like, "Oh yes it Kan!"
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#10
RE: 2^57885161 minus 1 is prime
Well, you could cut out every odd number ending in 5 for a start, and you would only need to check to see if it's divisible by every prime number (other than 2 & 5), not every number I'm fairly sure. 3,7,11...
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