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 2018-03-27, 17:27 #1 MarcinLesniak   Mar 2018 33 Posts Proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2 Hi Guys, I'd like to share with you my proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2. It's very simple and intuitive - based on my idea of patterns of divisibility of numbers. What do you think about it? https://youtu.be/Q4qpsdNugFk Marcin
 2018-03-27, 18:04 #2 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 100110100000012 Posts Why not simply put it in writing?
2018-03-27, 19:59   #3
Dr Sardonicus

Feb 2017
Nowhere

26·7·13 Posts

Quote:
 Originally Posted by MarcinLesniak Hi Guys, I'd like to share with you my proof of Legendre's conjecture, that there is always a prime between n^2 and (n+1)^2. It's very simple and intuitive - based on my idea of patterns of divisibility of numbers. What do you think about it? https://youtu.be/Q4qpsdNugFk
Hmm. URL looks squirrelly. Let's see what comes up under "Marcin Lesniak." Ah, youtube username. Last part /Q4qpsdNugFk of squirrelly URL matches youtube video on Legendre's conjecture.

Numbers plane | The real nature of numbers | PRIMES pattern 45:39
Published on Feb 5, 2018

Proof of Legendre's conjecture - there is always a prime between n^2 and (n+1)^2 32:40
Published on Mar 25, 2018

Well, the current one is shorter than the previous one.

Possibly coincidental, but numbersplane.com might be related to that first youtube video. Creation date matches. Looks like server is in Poland. URL and E-mail links clumsily de-activated by Yours Truly.

whois numbersplane.com
Domain Name: NUMBERSPLANE.COM
Registry Domain ID: 2223268984_DOMAIN_COM-VRSN
Registrar WHOIS Server: whois.PublicDomainRegistry.com
Registrar URL: [/url]http://www.publicdomainregistry.com[/url]
Updated Date: 2018-02-21T05:44:32Z
Creation Date: 2018-02-05T13:51:39Z
Registry Expiry Date: 2019-02-05T13:51:39Z
Registrar: PDR Ltd. d/b/a PublicDomainRegistry.com
Registrar IANA ID: 303
Registrar Abuse Contact Email: [/email]abuse-contact@publicdomainregistry.com[/email]
Registrar Abuse Contact Phone: +1.2013775952
Domain Status: clientTransferProhibited [/url]https://icann.org/epp#clientTransferProhibited[/url]
DNSSEC: unsigned
URL of the ICANN Whois Inaccuracy Complaint Form: [/url]https://www.icann.org/wicf/[/url]
>>> Last update of whois database: 2018-03-27T19:34:42Z <<<

 2018-03-27, 20:03 #4 MarcinLesniak   Mar 2018 33 Posts Because in such a form it is much easier to understand. The proof is based on the idea of PATTERNS of divisibility, and patterns generally are I would say quite a graphical concept :-) Marcin
 2018-03-27, 20:09 #5 MarcinLesniak   Mar 2018 33 Posts And what? :-) I do confirm - it's all true. And does it influence somehow the proof, thesis, etc.? I don't get the point of your post.
 2018-03-27, 20:17 #6 a1call     "Rashid Naimi" Oct 2015 Remote to Here/There 226410 Posts YouTube share links starts with youtu.be. This makes some people nervous as phishing but it is actually a legit domain linked to from YouTube.
 2018-03-27, 20:23 #7 MarcinLesniak   Mar 2018 33 Posts Thanks for an explanation, I had no idea about that, and honestly, I didn't even notice the form of the link (that it may look suspicious). Marcin
2018-03-27, 20:42   #8
science_man_88

"Forget I exist"
Jul 2009
Dumbassville

20C016 Posts

Quote:
 Originally Posted by MarcinLesniak Because in such a form it is much easier to understand. The proof is based on the idea of PATTERNS of divisibility, and patterns generally are I would say quite a graphical concept :-) Marcin
Graph a(n)= P*(a(n-1))-Q*(a(n-2))

2018-03-27, 20:47   #9
chalsall
If I May

"Chris Halsall"
Sep 2002

23×3×439 Posts

Quote:
 Originally Posted by MarcinLesniak Thanks for an explanation, I had no idea about that, and honestly, I didn't even notice the form of the link (that it may look suspicious).
Have you ever, by any chance, watched this video?

Professor Tao didn't even need to use a spreadsheet....

 2018-03-27, 20:59 #10 a1call     "Rashid Naimi" Oct 2015 Remote to Here/There 23×283 Posts You can just Google: youtu.be link
 2018-03-27, 21:10 #11 MarcinLesniak   Mar 2018 110112 Posts Yes, I have seen it. And did he (Professor Tao) by the chance proof there the Legendre's conjecture? :-) I've chosen such a form of presentation of my thesis and proof because it was easier for me, and I hoped it will be easier to understand for anybody. So I know and accept already that some of you may not like that form, but maybe let's talk about thesis and proof itself? In my opinion, the idea, and correctness of the reasoning and proof as itself is important, not a form. But of course, I do appreciate your advice on this issue ;-) Marcin

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