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Old 2011-12-16, 20:56   #1
micmicky
 

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Default I predict that 2^2147483647-1 is prime

But how can I prove it fast?
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Old 2011-12-16, 23:54   #2
MrRepunit
 
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You mean the double Mersenne number M(M(31))=2^(2^31-1)-1. But it has 4 known factors, the smallest one is 295257526626031
See also here: http://mathworld.wolfram.com/DoubleMersenneNumber.html

Last fiddled with by MrRepunit on 2011-12-16 at 23:55
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Old 2011-12-17, 05:05   #3
cheesehead
 
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Quote:
Originally Posted by micmicky View Post
But how can I prove it fast?
You could start by studying here:

http://primes.utm.edu/prove/
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Old 2011-12-17, 07:39   #4
davieddy
 
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Quote:
Originally Posted by cheesehead View Post
You could start by studying here:

http://primes.utm.edu/prove/
Leave some jokes for me.
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Old 2011-12-17, 13:59   #5
science_man_88
 
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Quote:
Originally Posted by MrRepunit View Post
You mean the double Mersenne number M(M(31))=2^(2^31-1)-1. But it has 4 known factors, the smallest one is 295257526626031
See also here: http://mathworld.wolfram.com/DoubleMersenneNumber.html
could have meant 2^2 * 147483647-1 it's 1 mod 6 but again it's not prime.

Last fiddled with by science_man_88 on 2011-12-17 at 14:00
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Old 2011-12-19, 05:41   #6
LaurV
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Quote:
Originally Posted by MrRepunit View Post
You mean the double Mersenne number M(M(31))=2^(2^31-1)-1. But it has 4 known factors, the smallest one is 295257526626031
See also here: http://mathworld.wolfram.com/DoubleMersenneNumber.html
no, he meant the triple mersenne number M(M(M(5))). :P:P:P
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