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Old 2017-12-31, 21:38   #1002
George M
 
Dec 2017

628 Posts
Post A quick guess on M50 would be 2^76092673 - 1

The above title is my guess. With some deep research within the mersenne forum, I was able to uncover this as the potential 50th mersenne prime. If this is M50, then this would be relatively close to M49 considering the extensive gaps between mersenne primes as P gets larger, in the expression 2^P - 1.

In fact, I was able to prove that for all P prime, 2^P divides (2^(P + 1) + (P + 1)!) iff (if and only if) P is a mersenne prime. This is thus a new primality test, but unfortunately the value (P + 1)! can get very large very quickly, the greater the value of P.

My point is, perhaps we could use this primality test to prove that M50 might be a mersenne prime without having to guess, but the only problem is, the values get much too large.
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Old 2017-12-31, 21:40   #1003
Batalov
 
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Mar 2008
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Quote:
Originally Posted by George M View Post
The above title is my guess. With some deep research within the mersenne forum, I was able to uncover this as the potential 50th mersenne prime. If this is M50, then ....
Too late! --
Quote:
Originally Posted by Uncwilly View Post
Voting is closed, pending verification runs.
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Old 2017-12-31, 21:43   #1004
jnml
 
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Quote:
Originally Posted by George M View Post
In fact, I was able to prove ...
You again?
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Old 2017-12-31, 21:47   #1005
George M
 
Dec 2017

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Default What do you mean, you again?

I just joined the mersenne forum.
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Old 2018-01-01, 01:59   #1006
Uncwilly
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Can I get a mod to wish posts from #62 to this one (inclusive) to the corn field?
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Old 2018-01-01, 02:12   #1007
GP2
 
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Quote:
Originally Posted by George M View Post
With some deep research within the mersenne forum, I was able to uncover this as the potential 50th mersenne prime.
You should have extended your research to the exponent status page.
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Old 2018-01-01, 06:08   #1008
gophne
 
Feb 2017

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Quote:
Originally Posted by chalsall View Post
I would love conspiracy theories.
Oy vey!
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Old 2018-01-01, 06:28   #1009
chalsall
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Quote:
Originally Posted by gophne View Post
Oy vey!
If I may please ask you a very sincere question:

Why are you here?
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Old 2018-01-01, 06:43   #1010
Uncwilly
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Can a supermod please, please, please move all of the gophne spawned threads to gophne's Blogorrhea area?
All of these threads are just becoming more of the same.

Last fiddled with by Uncwilly on 2018-01-01 at 06:44
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Old 2018-01-03, 10:11   #1011
LaurV
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Quote:
Originally Posted by GP2 View Post
You should have extended your research to the exponent status page.
Actually, something is wrong with that page , people like we have seen here in the last days of 2107 have no idea what all those numbers and names on the status page mean, and they still believe the number can be prime, even if the LL residue is something like 0xB094499608396FFF. It should say clear with big black letters:

This number is Composite. Which means it is NOT Prime. Ever!








Last fiddled with by LaurV on 2018-01-03 at 10:13
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Old 2018-06-29, 00:13   #1012
chalsall
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Quote:
Originally Posted by jvang View Post
I'm pretty sure I don't work for the government, so I wouldn't be able to take advantage of such slavery taxation
Do you want to learn?
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