[QUOTE=akruppa;106187]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[/QUOTE]
Well, at the very least, it's a fun way to pick exponents.

Would anyone care to make an executable that uses this method? I'm assuming it doesn't take up a lot of cpu, and even if it does, what the hell, I could be a purveyor of Alain Cochet exponents. It'll give me something to do. People could request exponents and I could spend a few minutes each day PMing them to people(assuming anybody wants them).

[QUOTE=akruppa;106187]Can you give a small example, step by step, how your method can be used to discover the 13th Mersenne prime, M521?
Alex[/QUOTE]Yes. Sure it is a good idea: check with known data if the idea works!
T.

[QUOTE=jasong;106192]
Would anyone care to make an executable that uses this method?[/QUOTE]

Without having looked in detail I think this way of generating intergers can generate all or almost all integers <= 2^44. The result depends entirely on where you flip the sign, if you choose that randomly, the number you get will likewise be some random integer. Don't waste cpu time on running LL tests on those.

I'd like to see Chochet's method finding known Mersenne prime exponents in a generally valid way, i.e. without assuming magic constants or ad-hoc rules that happen to make individual results come out right.

Alex

[QUOTE=akruppa;106221]Without having looked in detail I think this way of generating intergers can generate all or almost all integers <= 2^44. The result depends entirely on where you flip the sign, if you choose that randomly, the number you get will likewise be some random integer. Don't waste cpu time on running LL tests on those.

I'd like to see Chochet's method finding known Mersenne prime exponents in a generally valid way, i.e. without assuming magic constants or ad-hoc rules that happen to make individual results come out right.

Alex[/QUOTE]
Yeah, I looked at the pages explaining what cochet is apparently reverse-engineering(or whatever), and cochet seems to be living in a fantasy world(though I'd love to be proven wrong if cochet wants to stick around and continue to explain).

"and cochet seems to be living in a fantasy world"


Where have you found this opinion, Jasong ?
It's certainely your interpretation.
It's true, but I have already say it, that I'am not an engineer, but a "lacanian" psychologist specialist of the interface between psycho-analysis and science. My researchs concern particulary the epistemology of mathematics, for ten years.
I am passioned by the status of the prime numbers.

Last, I do not think that the rules of the method be "ad hoc". One only has to read them.

Alain

[QUOTE=cochet;106181]

You can consult the famous method (for some hours) at this address :

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

Alain[/QUOTE]

The link is no longer accessible. When you said "for some hours" did you intend to disable the link after a few hours?

[QUOTE=cochet;106310]"and cochet seems to be living in a fantasy world"

Where have you found this opinion, Jasong ?
It's certainely your interpretation.
...
I have already say it, that I'am not an engineer, but a "lacanian" psychologist specialist of the interface between psycho-analysis and science. My researchs concern particulary the epistemology of mathematics, for ten years.
I am passioned by the status of the prime numbers.[/QUOTE]

That seems as good a definition of "fantasy world" as any I've ever seen...

Say, your department's faculty wouldn't also include this fellow, would it?

[url]http://www.theonion.com/content/news_briefs/professor_sees_parallels[/url]

Ewmayer, don't spend your time speaking with a poor old fellow like me, not even a professional mathematician.
The important is the bracket : [FONT=Times New Roman][SIZE=3]37020163-37201995[/SIZE][/FONT]

[I]Nous verrons bien.[/I]

Bye bye. I stop wrinting on this thread now

Alain

Alain,

Are you the author of this:

"De la soustraction imaginaire en théorie des nombres

Et si la vieille énigme des nombres premiers ne relevait pas, fondamentalement, du champ des mathématiques, mais plutôt de celui de la psychanalyse, tel en tout cas qu'il a été réouvert par Jacques Lacan ?"
...
"La nature apparemment aléatoire de l'apparition des nombres premiers, assez analogue du reste à celle qui touche aux vibrations des particules en mécanique quantique, n'empêche pas l'existence d'une part déterministe sur laquelle s'appuie un certain nombre d'algorithmes."

?

My opinion:
Prime numbers do not appear randomly, since they obey a clear rule.
However, Mathematicians can study them with the same tools they use for really random data.

T.

[QUOTE=T.Rex;106612]"La nature apparemment aléatoire de l'apparition des nombres premiers, assez analogue du reste à celle qui touche aux vibrations des particules en mécanique quantique, n'empêche pas l'existence d'une part déterministe sur laquelle s'appuie un certain nombre d'algorithmes."[/QUOTE]

Good find, Tony -- somewhere in cyberspace, [url=http://en.wikipedia.org/wiki/Sokal_Affair]Alan Sokal[/url] is laughing his a** off. (Or shaking his head despairingly.)

[QUOTE=ewmayer;106618]Good find, Tony -- somewhere in cyberspace, [url=http://en.wikipedia.org/wiki/Sokal_Affair]Alan Sokal[/url] is laughing his a** off. (Or shaking his head despairingly.)[/QUOTE]Thanks for posting this link.

The Sokal Affair, and the Bogandov affair are amusing enough, but the real gems are to be found from chasing links in Wikipedia.

For instance, I've already found something I didn't previously know anything about (quiver diagrams and quivers) that may well turn out to be useful both in integer factorization and in reconciliation of potential inconsistencies when updating relational databases. Serendipitous indeed.

(Roger Needham used to describe serendipity as searching for a needle in a haystack and finding the farmer's daughter!)


Paul