mersenneforum.org > Math Simon Davis proves existence of infinitely many Mersenne primes?
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 2016-06-25, 10:19 #1 wildrabbitt   Jul 2014 3×149 Posts 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?
 2016-06-25, 13:41 #2 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 23A816 Posts The PDF is almost 10 years old (24-Nov-2006)!
 2016-06-25, 14:20 #3 wildrabbitt   Jul 2014 3×149 Posts thanks If somone can answer my question I'd be pleased . I'm not well enough to understand it.
 2016-06-25, 18:57 #4 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 23·7·163 Posts 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. Attached Thumbnails
2016-06-25, 20:48   #5
Gordon

Nov 2008

1111101012 Posts

Quote:
 Originally Posted by Batalov 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

 2016-06-25, 21:44 #6 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 23·7·163 Posts 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.
 2016-06-26, 04:26 #7 LaurV Romulan Interpreter     Jun 2011 Thailand 22A616 Posts 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.
 2016-06-26, 09:04 #8 GP2     Sep 2003 29×89 Posts 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
2016-06-28, 08:15   #9
0PolarBearsHere

Oct 2015

2·7·19 Posts

Quote:
 Originally Posted by GP2 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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