20180327, 17:27  #1 
Mar 2018
11011_{2} 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 
20180327, 18:04  #2 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
7×23×61 Posts 
Why not simply put it in writing?

20180327, 19:59  #3  
Feb 2017
Nowhere
3^{2}×641 Posts 
Quote:
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. Hmm, Twitter posts about Legendre conjecture, under username @lesniakowie Possibly coincidental, but numbersplane.com might be related to that first youtube video. Creation date matches. Looks like server is in Poland. URL and Email links clumsily deactivated by Yours Truly. whois numbersplane.com Domain Name: NUMBERSPLANE.COM Registry Domain ID: 2223268984_DOMAIN_COMVRSN Registrar WHOIS Server: whois.PublicDomainRegistry.com Registrar URL: [/url]http://www.publicdomainregistry.com[/url] Updated Date: 20180221T05:44:32Z Creation Date: 20180205T13:51:39Z Registry Expiry Date: 20190205T13:51:39Z Registrar: PDR Ltd. d/b/a PublicDomainRegistry.com Registrar IANA ID: 303 Registrar Abuse Contact Email: [/email]abusecontact@publicdomainregistry.com[/email] Registrar Abuse Contact Phone: +1.2013775952 Domain Status: clientTransferProhibited [/url]https://icann.org/epp#clientTransferProhibited[/url] Name Server: NS1.REJESTRACJADOMEN.PL Name Server: NS2.REJESTRACJADOMEN.PL DNSSEC: unsigned URL of the ICANN Whois Inaccuracy Complaint Form: [/url]https://www.icann.org/wicf/[/url] >>> Last update of whois database: 20180327T19:34:42Z <<< 

20180327, 20:03  #4 
Mar 2018
3^{3} 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 
20180327, 20:09  #5 
Mar 2018
3^{3} 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. 
20180327, 20:17  #6 
"Rashid Naimi"
Oct 2015
Remote to Here/There
2·19·59 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. 
20180327, 20:23  #7 
Mar 2018
11011_{2} 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 
20180327, 20:42  #8 
"Forget I exist"
Jul 2009
Dumbassville
2^{6}×131 Posts 

20180327, 20:47  #9  
If I May
"Chris Halsall"
Sep 2002
Barbados
2^{2}·7·373 Posts 
Quote:
Professor Tao didn't even need to use a spreadsheet.... 

20180327, 20:59  #10 
"Rashid Naimi"
Oct 2015
Remote to Here/There
2·19·59 Posts 
You can just Google:
youtu.be link 
20180327, 21:10  #11 
Mar 2018
3^{3} 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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