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-   -   new candidat for M45 (https://www.mersenneforum.org/showthread.php?t=7248)

cochet 2007-05-11 20:00

Alex, I think naïvely that a jury will do the difference between a result obtained by a logic method (with proof) and a result obtained by a random method (qui s'en remet au seul hasard). Is'nt true ?
Alain

akruppa 2007-05-11 20:17

They certainly will. From everything I have seen so far, your method is purely random.

Alex

ewmayer 2007-05-11 21:38

[QUOTE=akruppa;105827]They certainly will. From everything I have seen so far, your method is purely random.[/QUOTE]

It may not *be* random, but certainly seems "no better than random."

Eivind 2007-05-14 06:03

[QUOTE=Uncwilly;105721]An update:
3) finish with an odd number (other than 5)
3.5) check and make sure that the number is being tested.

:crank: :raman: :party:[/QUOTE]

I stand corrected :blush: :blush: , it seems like my algortim will fail in 1 out of 5 :grin:

-Eivind

cochet 2007-05-14 11:01

No, only my process of reading seems to be "random". But it comes from the difficulties to applicate rules that are not "hasardeuses".
For example, the interval I have given in my last post is real. You can calculate it easily. Idem, I can propose such an interval for all the mersenne's numbers of the list, from the beginning.
Alain

jasong 2007-05-14 23:59

Just post the damn method! If it's even possible that it could get rid of possible candidates, someone will say so.

T.Rex 2007-05-15 07:51

Alain,
Either you post your method or you buy some computers and use them and your method to find M45.
Tony

cochet 2007-05-15 21:08

OK
 
OK, I'am a little tired.
You can consult the famous method (for some hours) at this address :

[URL]http://home.tele2.fr/lacanmaths/peremersenne.html[/URL]

I avise George Woltman of this post

I am waiting your reactions

Alain

cochet 2007-05-15 21:16

Sorry if this approach prove to be wrong.

Alain

T.Rex 2007-05-15 21:43

Proth-Gilbreath's conjecture
 
OK. Why not.
Here are some references for the Proth-Gilbreath's conjecture:
[URL="http://mathworld.wolfram.com/GilbreathsConjecture.html"]MathWorld[/URL]
[URL="http://primes.utm.edu/glossary/page.php?sort=GilbreathsConjecture"]PrimeGlossary[/URL]
You have a method for computing, but I see no explaination about why this calculus should give the exponent of M45 ...
Too late now. I'll see tomorrow.

T.

akruppa 2007-05-15 21:45

Umm... are you trying to invert Gilbreath's conjecture by starting with a list of absolute differences of all 1s, then adding them up in different ways hoping that a prime appears after 45 steps? And even if a prime appears, what is there to suggest that that is the exponent of the 45th Mersenne prime? However, I can't say I really understand the explanation on your web page. Can you give a small example, step by step, how your method can be used to discover the 13th Mersenne prime, M521?

Alex


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