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Old 2016-06-25, 10:19   #1
wildrabbitt
 
Jul 2014

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Default Simon Davis proves existence of infinitely many Mersenne primes?

Hi,



I found this yesterday

http://empslocal.ex.ac.uk/people/sta...venperfect.pdf

Is this a proof that there are infinitely many Mersenne primes?
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Old 2016-06-25, 13:41   #2
Batalov
 
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The PDF is almost 10 years old (24-Nov-2006)!
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Old 2016-06-25, 14:20   #3
wildrabbitt
 
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thanks

If somone can answer my question I'd be pleased . I'm not well enough to

understand it.
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Old 2016-06-25, 18:57   #4
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That PDF gives an impression of a person who wears a pince-nez and speaks in long sentences but periodically uses phrases like "this fact has a profound proctological significance" (instead of "practical"). Many long paragraphs look copied and pasted from other places and make no sense.

Take part 6 (page 15, reproduced below): e.g. it makes an argument that "g(n) is an integer because .... (formula 6.2)". It makes absolutely no sense. Then in the next line g(n) is used already in the modular context (where its existence is obvious, because n \eq 0 (mod n) )... And this science-look-alike copy-pastes are used all over, in a similar fashion.
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Old 2016-06-25, 20:48   #5
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Quote:
Originally Posted by Batalov View Post
That PDF gives an impression of a person who wears a pince-nez and speaks in long sentences but periodically uses phrases like "this fact has a profound proctological significance" (instead of "practical"). Many long paragraphs look copied and pasted from other places and make no sense.

Take part 6 (page 15, reproduced below): e.g. it makes an argument that "g(n) is an integer because .... (formula 6.2)". It makes absolutely no sense. Then in the next line g(n) is used already in the modular context (where its existence is obvious, because n \eq 0 (mod n) )... And this science-look-alike copy-pastes are used all over, in a similar fashion.
We'll take that as a NO then
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Old 2016-06-25, 21:44   #6
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Fun fact: two days ago I have been well within 20 or so meters from that article's supplied address (not deliberately, I just was there on other chores).
It is of course the post office. PO Box 13595... I have not looked for it obviously, I was at [I][B]the[/B][/I] post office and CVS pharmacy ...and got sushi at Whole Foods, too.
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Old 2016-06-26, 04:26   #7
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My feelings too. It looks very crankish and mixes a lot of subjects, without connection, but "sounding good", like "geometric representation" of mersenne numbers (?!), trigonometry, pittagorean triplets, Riemann surface, Dirac zero modes, Ramond sectors, inhomogenuous congruence subgroup, Chebyshev polynomials of different kinds, Lagrange interpolations, Lucas and Lehmer series (!?), Goldbach partitions, it looks like all the mathematics I ever heard of are inside that paper. And a lot I didn't hear about, the good part is that I have learned few things googling for some of those names...

Crank for sure.
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Old 2016-06-26, 09:04   #8
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It's never a good sign of cutting-edge research when half the cited references are four decades old or older, and less than 10% are from this millennium.

Also, Ten Signs a Claimed Mathematical Breakthrough is Wrong
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Old 2016-06-28, 08:15   #9
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Quote:
Originally Posted by GP2 View Post
It's never a good sign of cutting-edge research when half the cited references are four decades old or older, and less than 10% are from this millennium.

Also, Ten Signs a Claimed Mathematical Breakthrough is Wrong
Not enough people cite pythagorus these days.
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